Robert Seiringer
Seiringer Group
174 Publications
2025 | Published | Journal Article | IST-REx-ID: 19403 |

BCS critical temperature on half-spaces
B. Roos, R. Seiringer, Archive for Rational Mechanics and Analysis 249 (2025).
[Published Version]
View
| Files available
| DOI
| arXiv
B. Roos, R. Seiringer, Archive for Rational Mechanics and Analysis 249 (2025).
2024 | Published | Journal Article | IST-REx-ID: 17478 |

The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass
M. Brooks, R. Seiringer, Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques 140 (2024) 271–309.
[Published Version]
View
| Files available
| DOI
| arXiv
M. Brooks, R. Seiringer, Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques 140 (2024) 271–309.
2024 | Published | Journal Article | IST-REx-ID: 18958
Many-body quantum systems
C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 20 (2024) 2247–2302.
View
| DOI
C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 20 (2024) 2247–2302.
2024 | Published | Journal Article | IST-REx-ID: 14931 |

Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion
A.B. Lauritsen, R. Seiringer, Journal of Functional Analysis 286 (2024).
[Published Version]
View
| Files available
| DOI
| arXiv
A.B. Lauritsen, R. Seiringer, Journal of Functional Analysis 286 (2024).
2024 | Published | Journal Article | IST-REx-ID: 18107 |

Pressure of a dilute spin-polarized Fermi gas: Lower bound
A.B. Lauritsen, R. Seiringer, Forum of Mathematics, Sigma 12 (2024).
[Published Version]
View
| Files available
| DOI
| arXiv
A.B. Lauritsen, R. Seiringer, Forum of Mathematics, Sigma 12 (2024).
2023 | Published | Journal Article | IST-REx-ID: 14254 |

A simple approach to Lieb-Thirring type inequalities
R. Seiringer, J.P. Solovej, Journal of Functional Analysis 285 (2023).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
R. Seiringer, J.P. Solovej, Journal of Functional Analysis 285 (2023).
2023 | Published | Book Chapter | IST-REx-ID: 14992 |

Universal Functionals in Density Functional Theory
M. Lewin, E.H. Lieb, R. Seiringer, in:, E. Cances, G. Friesecke (Eds.), Density Functional Theory, 1st ed., Springer, 2023, pp. 115–182.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
M. Lewin, E.H. Lieb, R. Seiringer, in:, E. Cances, G. Friesecke (Eds.), Density Functional Theory, 1st ed., Springer, 2023, pp. 115–182.
2023 | Published | Journal Article | IST-REx-ID: 14662 |

Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling
Seiringer, Robert, Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory 13 (3). 2023
[Published Version]
View
| Files available
| DOI
| arXiv
Seiringer, Robert, Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory 13 (3). 2023
2023 | Published | Journal Article | IST-REx-ID: 13225 |

Correlation energy of a weakly interacting Fermi gas with large interaction potential
N.P. Benedikter, M. Porta, B. Schlein, R. Seiringer, Archive for Rational Mechanics and Analysis 247 (2023).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
N.P. Benedikter, M. Porta, B. Schlein, R. Seiringer, Archive for Rational Mechanics and Analysis 247 (2023).
2023 | Published | Journal Article | IST-REx-ID: 13178 |

Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron
D.J. Mitrouskas, K. Mysliwy, R. Seiringer, Forum of Mathematics 11 (2023) 1–52.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
D.J. Mitrouskas, K. Mysliwy, R. Seiringer, Forum of Mathematics 11 (2023) 1–52.
2023 | Published | Journal Article | IST-REx-ID: 14441 |

The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy
M. Brooks, R. Seiringer, Communications in Mathematical Physics 404 (2023) 287–337.
[Published Version]
View
| Files available
| DOI
| arXiv
M. Brooks, R. Seiringer, Communications in Mathematical Physics 404 (2023) 287–337.
2023 | Published | Journal Article | IST-REx-ID: 17074 |

Validity of Bogoliubov’s approximation fortranslation-invariant Bose gases
M. Brooks, R. Seiringer, Probability and Mathematical Physics 3 (2023) 939–1000.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
M. Brooks, R. Seiringer, Probability and Mathematical Physics 3 (2023) 939–1000.
2023 | Published | Journal Article | IST-REx-ID: 12183 |

The Bose Gas in a box with Neumann boundary conditions
C. Boccato, R. Seiringer, Annales Henri Poincare 24 (2023) 1505–1560.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
C. Boccato, R. Seiringer, Annales Henri Poincare 24 (2023) 1505–1560.
2023 | Published | Journal Article | IST-REx-ID: 13207 |

Boundary superconductivity in the BCS model
C. Hainzl, B. Roos, R. Seiringer, Journal of Spectral Theory 12 (2023) 1507–1540.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
C. Hainzl, B. Roos, R. Seiringer, Journal of Spectral Theory 12 (2023) 1507–1540.
2023 | Published | Journal Article | IST-REx-ID: 14854 |

Ubiquity of bound states for the strongly coupled polaron
D.J. Mitrouskas, R. Seiringer, Pure and Applied Analysis 5 (2023) 973–1008.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
D.J. Mitrouskas, R. Seiringer, Pure and Applied Analysis 5 (2023) 973–1008.
2022 | Published | Journal Article | IST-REx-ID: 10537 |

Bosonization of fermionic many-body dynamics
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Annales Henri Poincaré 23 (2022) 1725–1764.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Annales Henri Poincaré 23 (2022) 1725–1764.
2022 | Published | Journal Article | IST-REx-ID: 12246 |

Improved Lieb–Oxford bound on the indirect and exchange energies
M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).
2022 | Published | Journal Article | IST-REx-ID: 10564 |

Polaron models with regular interactions at strong coupling
K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).
2022 | Published | Journal Article | IST-REx-ID: 11917 |

Large deviation estimates for weakly interacting bosons
S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).
[Published Version]
View
| Files available
| DOI
| WoS
S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).
2022 | Published | Journal Article | IST-REx-ID: 10755 |

The effective mass problem for the Landau-Pekar equations
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Journal of Physics A: Mathematical and Theoretical 55 (2022).
[Published Version]
View
| Files available
| DOI
| arXiv
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Journal of Physics A: Mathematical and Theoretical 55 (2022).
2022 | Published | Journal Article | IST-REx-ID: 10850 |

Two-particle bound states at interfaces and corners
B. Roos, R. Seiringer, Journal of Functional Analysis 282 (2022).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
B. Roos, R. Seiringer, Journal of Functional Analysis 282 (2022).
2021 | Published | Journal Article | IST-REx-ID: 9256 |

Free energy asymptotics of the quantum Heisenberg spin chain
M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021).
[Published Version]
View
| Files available
| DOI
| WoS
M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021).
2021 | Published | Journal Article | IST-REx-ID: 10738 |

The Landau–Pekar equations: Adiabatic theorem and accuracy
N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE 14 (2021) 2079–2100.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE 14 (2021) 2079–2100.
2021 | Published | Journal Article | IST-REx-ID: 9462 |

Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons
A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021).
2021 | Published | Journal Article | IST-REx-ID: 10852 |

The polaron at strong coupling
R. Seiringer, Reviews in Mathematical Physics 33 (2021).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
R. Seiringer, Reviews in Mathematical Physics 33 (2021).
2021 | Published | Journal Article | IST-REx-ID: 9246 |

Derivation of the Landau–Pekar equations in a many-body mean-field limit
Leopold, Nikolai K, Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis 240. 2021
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
Leopold, Nikolai K, Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis 240. 2021
2021 | Published | Journal Article | IST-REx-ID: 8603 |

Quantum corrections to the Pekar asymptotics of a strongly coupled polaron
Frank, Rupert, Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics 74 (3). 2021
[Published Version]
View
| Files available
| DOI
| WoS
Frank, Rupert, Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics 74 (3). 2021
2021 | Published | Journal Article | IST-REx-ID: 10224 |

The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics
D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis 242 (2021) 1835–1906.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis 242 (2021) 1835–1906.
2021 | Published | Journal Article | IST-REx-ID: 7901 |

Correlation energy of a weakly interacting Fermi gas
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.
2021 | Published | Journal Article | IST-REx-ID: 14889 |

Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron
N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.
2021 | Published | Journal Article | IST-REx-ID: 9318 |

Asymptotic expansion of low-energy excitations for weakly interacting bosons
L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).
[Published Version]
View
| Files available
| DOI
| WoS
L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).
2021 | Published | Journal Article | IST-REx-ID: 9225 |

Persistence of the spectral gap for the Landau–Pekar equations
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).
[Published Version]
View
| Files available
| DOI
| WoS
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).
2021 | Draft | Preprint | IST-REx-ID: 9787 |

The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics
D. Feliciangeli, R. Seiringer, ArXiv (n.d.).
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
D. Feliciangeli, R. Seiringer, ArXiv (n.d.).
2021 | Draft | Preprint | IST-REx-ID: 9791 |

The effective mass problem for the Landau-Pekar equations
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.).
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.).
2020 | Published | Journal Article | IST-REx-ID: 14891 |

The local density approximation in density functional theory
M. Lewin, E.H. Lieb, R. Seiringer, Pure and Applied Analysis 2 (2020) 35–73.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
M. Lewin, E.H. Lieb, R. Seiringer, Pure and Applied Analysis 2 (2020) 35–73.
2020 | Published | Journal Article | IST-REx-ID: 15072
Many-body quantum systems
C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 16 (2020) 2541–2603.
View
| DOI
C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 16 (2020) 2541–2603.
2020 | Published | Journal Article | IST-REx-ID: 7790 |

The free energy of the two-dimensional dilute Bose gas. I. Lower bound
A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).
2020 | Published | Journal Article | IST-REx-ID: 8134 |

The free energy of the two-dimensional dilute Bose gas. II. Upper bound
Mayer, Simon, The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics 61 (6). 2020
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
Mayer, Simon, The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics 61 (6). 2020
2020 | Published | Journal Article | IST-REx-ID: 7650 |

Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature
A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271.
2020 | Published | Journal Article | IST-REx-ID: 8091 |

Emergence of Haldane pseudo-potentials in systems with short-range interactions
Seiringer, Robert, Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics 181. 2020
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
Seiringer, Robert, Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics 181. 2020
2020 | Published | Journal Article | IST-REx-ID: 7235 |

Divergence of the effective mass of a polaron in the strong coupling limit
E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.
[Published Version]
View
| Files available
| DOI
| WoS
E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.
2020 | Published | Journal Article | IST-REx-ID: 8705 |

Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit
K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.
2020 | Published | Journal Article | IST-REx-ID: 8769 |

Quantum impurity model for anyons
E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).
2020 | Published | Journal Article | IST-REx-ID: 6649 |

Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.
2020 | Published | Journal Article | IST-REx-ID: 9781 |

Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball
Feliciangeli, Dario, Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis 52 (1). 2020
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
Feliciangeli, Dario, Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis 52 (1). 2020
2019 | Published | Journal Article | IST-REx-ID: 7226 |

Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018
Jaksic, Vojkan, Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics 60 (12). 2019
[Published Version]
View
| Files available
| DOI
| WoS
Jaksic, Vojkan, Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics 60 (12). 2019
2019 | Draft | Preprint | IST-REx-ID: 7524 |

The free energy of the two-dimensional dilute Bose gas. I. Lower bound
A. Deuchert, S. Mayer, R. Seiringer, ArXiv (n.d.).
[Preprint]
View
| Files available
| Download Preprint (ext.)
| arXiv
A. Deuchert, S. Mayer, R. Seiringer, ArXiv (n.d.).
2019 | Published | Journal Article | IST-REx-ID: 7015 |

Floating Wigner crystal with no boundary charge fluctuations
M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).
2019 | Published | Journal Article | IST-REx-ID: 80 |

Bose–Einstein condensation in a dilute, trapped gas at positive temperature
A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.
[Published Version]
View
| Files available
| DOI
| WoS
A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.
2019 | Published | Journal Article | IST-REx-ID: 5856 |

Energy contribution of a point-interacting impurity in a Fermi gas
Moser, Thomas, Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare 20 (4). 2019
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
Moser, Thomas, Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare 20 (4). 2019
2018 | Published | Journal Article | IST-REx-ID: 180 |

Statistical mechanics of the uniform electron gas
M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.
[Published Version]
View
| Files available
| DOI
| arXiv
M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.
2018 | Published | Journal Article | IST-REx-ID: 295 |

Fermionic behavior of ideal anyons
D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.
2018 | Published | Journal Article | IST-REx-ID: 154 |

Stability of the 2+2 fermionic system with point interactions
Moser, Thomas, Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry 21 (3). 2018
[Published Version]
View
| Files available
| DOI
| WoS
Moser, Thomas, Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry 21 (3). 2018
2017 | Published | Journal Article | IST-REx-ID: 1198 |

Triviality of a model of particles with point interactions in the thermodynamic limit
T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.
[Published Version]
View
| Files available
| DOI
| WoS
T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.
2017 | Published | Journal Article | IST-REx-ID: 741 |

Stability of a fermionic N+1 particle system with point interactions
Moser, Thomas, Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics 356 (1). 2017
[Published Version]
View
| Files available
| DOI
| WoS
Moser, Thomas, Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics 356 (1). 2017
2017 | Published | Journal Article | IST-REx-ID: 1120 |

Angular self-localization of impurities rotating in a bosonic bath
Li, Xiang, Angular self-localization of impurities rotating in a bosonic bath. Physical Review A 95 (3). 2017
[Published Version]
View
| Files available
| DOI
| Download Published Version (ext.)
| WoS
Li, Xiang, Angular self-localization of impurities rotating in a bosonic bath. Physical Review A 95 (3). 2017
2016 | Published | Journal Article | IST-REx-ID: 1486 |

The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties
C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).
[Preprint]
View
| DOI
| Download Preprint (ext.)
C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).
2016 | Published | Journal Article | IST-REx-ID: 1620 |

The external field dependence of the BCS critical temperature
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical Physics 342 (2016) 189–216.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical Physics 342 (2016) 189–216.
2016 | Published | Journal Article | IST-REx-ID: 1143 |

Ground states of large bosonic systems: The gross Pitaevskii limit revisited
P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.
[Preprint]
View
| DOI
| Download Preprint (ext.)
P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.
2016 | Published | Conference Paper | IST-REx-ID: 1428 |

Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics: Conference Series, IOP Publishing, 2016.
[Published Version]
View
| Files available
| DOI
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics: Conference Series, IOP Publishing, 2016.
2016 | Published | Journal Article | IST-REx-ID: 1478 |

Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas
R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).
[Published Version]
View
| Files available
| DOI
R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).
2016 | Published | Journal Article | IST-REx-ID: 1259 |

Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit
G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016).
[Published Version]
View
| Files available
| DOI
G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016).
2016 | Published | Journal Article | IST-REx-ID: 1291 |

Periodic striped ground states in Ising models with competing interactions
A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007.
[Published Version]
View
| Files available
| DOI
A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007.
2016 | Published | Journal Article | IST-REx-ID: 1422 |

Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations
R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923.
[Published Version]
View
| Files available
| DOI
R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923.
2015 | Published | Journal Article | IST-REx-ID: 1704 |

Note on a family of monotone quantum relative entropies
A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105 (2015) 1449–1466.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105 (2015) 1449–1466.
2015 | Published | Journal Article | IST-REx-ID: 1572 |

Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet
M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics 339 (2015) 279–307.
[Preprint]
View
| DOI
| Download Preprint (ext.)
M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics 339 (2015) 279–307.
2015 | Published | Journal Article | IST-REx-ID: 2085 |

Collective excitations of Bose gases in the mean-field regime
P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015) 381–417.
[Preprint]
View
| DOI
| Download Preprint (ext.)
P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015) 381–417.
2015 | Published | Journal Article | IST-REx-ID: 1880 |

Superfluid behavior of a Bose-Einstein condensate in a random potential
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics 17 (2015).
[Published Version]
View
| Files available
| DOI
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics 17 (2015).
2015 | Published | Journal Article | IST-REx-ID: 1573 |

Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and Applied Mathematics 68 (2015) 1845–1884.
[Preprint]
View
| DOI
| Download Preprint (ext.)
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and Applied Mathematics 68 (2015) 1845–1884.
2014 | Published | Journal Article | IST-REx-ID: 2281 |

On the mass concentration for Bose-Einstein condensates with attractive interactions
Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.
2014 | Published | Conference Paper | IST-REx-ID: 1516 |

On the BCS gap equation for superfluid fermionic gases
G. Bräunlich, C. Hainzl, R. Seiringer, in:, Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–137.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
G. Bräunlich, C. Hainzl, R. Seiringer, in:, Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–137.
2014 | Published | Conference Paper | IST-REx-ID: 8044 |

Structure of the excitation spectrum for many-body quantum systems
R. Seiringer, in:, Proceeding of the International Congress of Mathematicans, International Congress of Mathematicians, 2014, pp. 1175–1194.
[Published Version]
View
| Download Published Version (ext.)
R. Seiringer, in:, Proceeding of the International Congress of Mathematicans, International Congress of Mathematicians, 2014, pp. 1175–1194.
2014 | Published | Journal Article | IST-REx-ID: 1822
Introduction
V. Jakšić, C. Pillet, R. Seiringer, Journal of Mathematical Physics 55 (2014).
View
| DOI
V. Jakšić, C. Pillet, R. Seiringer, Journal of Mathematical Physics 55 (2014).
2014 | Published | Journal Article | IST-REx-ID: 1889 |

Translation-invariant quasi-free states for fermionic systems and the BCS approximation
G. Bräunlich, C. Hainzl, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
| arXiv
G. Bräunlich, C. Hainzl, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
2014 | Published | Journal Article | IST-REx-ID: 1935 |

Formation of stripes and slabs near the ferromagnetic transition
A. Giuliani, É. Lieb, R. Seiringer, Communications in Mathematical Physics 331 (2014) 333–350.
[Published Version]
View
| Files available
| DOI
| arXiv
A. Giuliani, É. Lieb, R. Seiringer, Communications in Mathematical Physics 331 (2014) 333–350.
2014 | Published | Journal Article | IST-REx-ID: 2029 |

Validity of spin-wave theory for the quantum Heisenberg model
M. Correggi, A. Giuliani, R. Seiringer, EPL 108 (2014).
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
M. Correggi, A. Giuliani, R. Seiringer, EPL 108 (2014).
2014 | Published | Journal Article | IST-REx-ID: 10814
The excitation spectrum for Bose fluids with weak interactions
R. Seiringer, Jahresbericht Der Deutschen Mathematiker-Vereinigung 116 (2014) 21–41.
View
| DOI
R. Seiringer, Jahresbericht Der Deutschen Mathematiker-Vereinigung 116 (2014) 21–41.
2014 | Published | Journal Article | IST-REx-ID: 1821 |

Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation
R. Seiringer, Journal of Mathematical Physics 55 (2014).
[Submitted Version]
View
| Files available
| DOI
R. Seiringer, Journal of Mathematical Physics 55 (2014).
2014 | Published | Journal Article | IST-REx-ID: 1918 |

Existence of ground states for negative ions at the binding threshold
J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
2014 | Published | Journal Article | IST-REx-ID: 2186 |

On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics 104 (2014) 871–891.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics 104 (2014) 871–891.
2014 | Published | Journal Article | IST-REx-ID: 1904 |

Strichartz inequality for orthonormal functions
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526.
2014 | Published | Journal Article | IST-REx-ID: 2407 |

Equivalence of two definitions of the effective mass of a polaron
É. Lieb, R. Seiringer, Journal of Statistical Physics 154 (2014) 51–57.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
É. Lieb, R. Seiringer, Journal of Statistical Physics 154 (2014) 51–57.
2013 | Published | Journal Article | IST-REx-ID: 2297 |

Hot topics in cold gases: A mathematical physics perspective
R. Seiringer, Japanese Journal of Mathematics 8 (2013) 185–232.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
R. Seiringer, Japanese Journal of Mathematics 8 (2013) 185–232.
2013 | Published | Journal Article | IST-REx-ID: 2300 |

Realization of stripes and slabs in two and three dimensions
A. Giuliani, É. Lieb, R. Seiringer, Physical Review B 88 (2013).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
A. Giuliani, É. Lieb, R. Seiringer, Physical Review B 88 (2013).
2013 | Published | Conference Paper | IST-REx-ID: 2315 |

Disordered Bose-Einstein condensates with interaction
R. Seiringer, J. Yngvason, V. Zagrebnov, in:, World Scientific Publishing, 2013, pp. 610–619.
View
| DOI
| Download None (ext.)
| arXiv
R. Seiringer, J. Yngvason, V. Zagrebnov, in:, World Scientific Publishing, 2013, pp. 610–619.
2013 | Published | Conference Paper | IST-REx-ID: 2319 |

Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, Springer, 2013, pp. 57–88.
View
| DOI
| Download (ext.)
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, Springer, 2013, pp. 57–88.
2013 | Published | Journal Article | IST-REx-ID: 2404 |

A positive density analogue of the Lieb-Thirring inequality
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Duke Mathematical Journal 162 (2013) 435–495.
View
| DOI
| Download (ext.)
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Duke Mathematical Journal 162 (2013) 435–495.
2013 | Published | Journal Article | IST-REx-ID: 2405 |

Symmetry of bipolaron bound states for small Coulomb repulsion
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 319 (2013) 557–573.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 319 (2013) 557–573.
2013 | Published | Journal Article | IST-REx-ID: 2406
Condensation of interacting bosons in a random potential
R. Seiringer, J. Yngvason, V. Zagrebnov, European Physical Journal: Special Topics 217 (2013) 103–107.
View
| DOI
R. Seiringer, J. Yngvason, V. Zagrebnov, European Physical Journal: Special Topics 217 (2013) 103–107.
2013 | Published | Journal Article | IST-REx-ID: 2408 |

The excitation spectrum for weakly interacting Bosons in a trap
P. Grech, R. Seiringer, Communications in Mathematical Physics 322 (2013) 559–591.
View
| DOI
| Download (ext.)
P. Grech, R. Seiringer, Communications in Mathematical Physics 322 (2013) 559–591.
2012 | Published | Conference Paper | IST-REx-ID: 2316 |

Ground state properties of multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2012, pp. 477–485.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2012, pp. 477–485.
2012 | Published | Conference Paper | IST-REx-ID: 2317 |

Microscopic derivation of the Ginzburg-Landau model
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583.
View
| DOI
| Download (ext.)
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583.
2012 | Published | Journal Article | IST-REx-ID: 2318 |

Absence of bound states implies non-negativity of the scattering length
R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.
[Preprint]
View
| DOI
| Download Preprint (ext.)
R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.
2012 | Published | Journal Article | IST-REx-ID: 2394
The gap equation for spin-polarized fermions
A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).
View
| DOI
A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).
2012 | Published | Journal Article | IST-REx-ID: 2395 |

Microscopic derivation of Ginzburg-Landau theory
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713.
View
| DOI
| Download (ext.)
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713.
2012 | Published | Journal Article | IST-REx-ID: 2396 |

The scattering length at positive temperature
B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.
View
| DOI
| Download (ext.)
B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.
2012 | Published | Journal Article | IST-REx-ID: 2397 |

Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.
View
| DOI
| Download (ext.)
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.
2012 | Published | Book Review | IST-REx-ID: 2398 |

Quantum hypothesis testing and non-equilibrium statistical mechanics
V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (2012).
View
| DOI
| Download (ext.)
V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (2012).
2012 | Published | Book Chapter | IST-REx-ID: 2399
Cold quantum gases and bose einstein condensation
R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 55–92.
View
| DOI
R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 55–92.
2012 | Published | Journal Article | IST-REx-ID: 2400 |

Binding of polarons and atoms at threshold
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424.
2012 | Published | Journal Article | IST-REx-ID: 2401 |

Further implications of the Bessis-Moussa-Villani conjecture
É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91.
2012 | Published | Journal Article | IST-REx-ID: 2402 |

Lieb-Thirring inequality for a model of particles with point interactions
R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).
View
| DOI
| Download (ext.)
R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).
2012 | Published | Journal Article | IST-REx-ID: 2403 |

Disordered Bose-Einstein condensates with interaction in one dimension
R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012).
View
| DOI
| Download (ext.)
R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012).
2011 | Published | Conference Paper | IST-REx-ID: 2320 |

Binding, stability, and non-binding of multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2011, pp. 21–32.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2011, pp. 21–32.
2011 | Published | Conference Paper | IST-REx-ID: 2321 |

A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials
R. Frank, A. Laptev, R. Seiringer, in:, Springer, 2011, pp. 39–44.
View
| DOI
| Download (ext.)
R. Frank, A. Laptev, R. Seiringer, in:, Springer, 2011, pp. 39–44.
2011 | Published | Journal Article | IST-REx-ID: 2390 |

Stability and absence of binding for multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67.
2011 | Published | Journal Article | IST-REx-ID: 2391 |

Energy cost to make a hole in the fermi sea
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Physical Review Letters 106 (2011).
View
| DOI
| Download (ext.)
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Physical Review Letters 106 (2011).
2011 | Published | Journal Article | IST-REx-ID: 2393 |

The excitation spectrum for weakly interacting Bosons
R. Seiringer, Communications in Mathematical Physics 306 (2011) 565–578.
View
| DOI
| Download (ext.)
R. Seiringer, Communications in Mathematical Physics 306 (2011) 565–578.
2010 | Published | Conference Paper | IST-REx-ID: 2322 |

Equivalence of Sobolev inequalities and Lieb-Thirring inequalities
R. Frank, É. Lieb, R. Seiringer, in:, World Scientific Publishing, 2010, pp. 523–535.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, in:, World Scientific Publishing, 2010, pp. 523–535.
2010 | Published | Conference Paper | IST-REx-ID: 2323 |

Hot topics on cold gases
R. Seiringer, in:, World Scientific Publishing, 2010, pp. 231–245.
View
| DOI
| Download (ext.)
R. Seiringer, in:, World Scientific Publishing, 2010, pp. 231–245.
2010 | Published | Book Chapter | IST-REx-ID: 2324 |

Sharp fractional Hardy inequalities in half-spaces
R. Frank, R. Seiringer, in:, Around the Research of Vladimir Maz’ya I, Springer, 2010, pp. 161–167.
View
| DOI
| Download (ext.)
R. Frank, R. Seiringer, in:, Around the Research of Vladimir Maz’ya I, Springer, 2010, pp. 161–167.
2010 | Published | Journal Article | IST-REx-ID: 2389 |

Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy
C. Hainzl, R. Seiringer, Mathematische Nachrichten 283 (2010) 489–499.
View
| DOI
| Download (ext.)
C. Hainzl, R. Seiringer, Mathematische Nachrichten 283 (2010) 489–499.
2010 | Published | Journal Article | IST-REx-ID: 2392 |

Bipolaron and N-polaron binding energies
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Physical Review Letters 104 (2010).
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Physical Review Letters 104 (2010).
2009 | Published | Book | IST-REx-ID: 2326
The Stability of Matter in Quantum Mechanics
É. Lieb, R. Seiringer, The Stability of Matter in Quantum Mechanics, Cambridge University Press, 2009.
View
| Download None (ext.)
É. Lieb, R. Seiringer, The Stability of Matter in Quantum Mechanics, Cambridge University Press, 2009.
2009 | Published | Conference Paper | IST-REx-ID: 2330
A linear criterion for solutions of non-linear equations, with application to the BCS gap equation
C. Hainzl, R. Seiringer, in:, American Mathematical Society, 2009, pp. 101–104.
View
| DOI
C. Hainzl, R. Seiringer, in:, American Mathematical Society, 2009, pp. 101–104.
2009 | Published | Journal Article | IST-REx-ID: 2384 |

The ground state energy of the weakly interacting Bose gas at high density
A. Giuliani, R. Seiringer, Journal of Statistical Physics 135 (2009) 915–934.
View
| DOI
| Download (ext.)
A. Giuliani, R. Seiringer, Journal of Statistical Physics 135 (2009) 915–934.
2009 | Published | Journal Article | IST-REx-ID: 2385 |

Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 79 (2009).
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 79 (2009).
2009 | Published | Journal Article | IST-REx-ID: 2386 |

Rigorous upper bound on the critical temperature of dilute Bose gases
R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials Physics 80 (2009).
View
| DOI
| Download (ext.)
R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials Physics 80 (2009).
2009 | Published | Journal Article | IST-REx-ID: 2387 |

Strongly correlated phases in rapidly rotating Bose gases
M. Lewin, R. Seiringer, Journal of Statistical Physics 137 (2009) 1040–1062.
View
| DOI
| Download (ext.)
M. Lewin, R. Seiringer, Journal of Statistical Physics 137 (2009) 1040–1062.
2009 | Published | Journal Article | IST-REx-ID: 2388 |

Probabilistic coherence and proper scoring rules
J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, S. Kulkarni, IEEE Transactions on Information Theory 55 (2009) 4786–4792.
View
| DOI
| Download (ext.)
J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, S. Kulkarni, IEEE Transactions on Information Theory 55 (2009) 4786–4792.
2008 | Published | Conference Paper | IST-REx-ID: 2331 |

Spectral properties of the BCS gap equation of superfluidity
C. Hainzl, R. Seiringer, in:, World Scientific Publishing, 2008, pp. 117–136.
View
| DOI
| Download (ext.)
C. Hainzl, R. Seiringer, in:, World Scientific Publishing, 2008, pp. 117–136.
2008 | Published | Conference Paper | IST-REx-ID: 2332 |

Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases
R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.
View
| DOI
| Download (ext.)
R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.
2008 | Published | Journal Article | IST-REx-ID: 2374 |

Free energy of a dilute Bose gas: Lower bound
R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.
View
| DOI
| Download (ext.)
R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.
2008 | Published | Journal Article | IST-REx-ID: 2376 |

Critical temperature and energy gap for the BCS equation
C. Hainzl, R. Seiringer, Physical Review B - Condensed Matter and Materials Physics 77 (2008).
View
| DOI
| Download (ext.)
C. Hainzl, R. Seiringer, Physical Review B - Condensed Matter and Materials Physics 77 (2008).
2008 | Published | Journal Article | IST-REx-ID: 2377 |

The BCS critical temperature for potentials with negative scattering length
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 84 (2008) 99–107.
View
| DOI
| Download (ext.)
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 84 (2008) 99–107.
2008 | Published | Journal Article | IST-REx-ID: 2378 |

Ground state energy of the low density hubbard model
R. Seiringer, J. Yin, Journal of Statistical Physics 131 (2008) 1139–1154.
View
| DOI
| Download (ext.)
R. Seiringer, J. Yin, Journal of Statistical Physics 131 (2008) 1139–1154.
2008 | Published | Journal Article | IST-REx-ID: 2379 |

Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
R. Frank, É. Lieb, R. Seiringer, Journal of the American Mathematical Society 21 (2008) 925–950.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, Journal of the American Mathematical Society 21 (2008) 925–950.
2008 | Published | Journal Article | IST-REx-ID: 2380 |

The BCS functional for general pair interactions
C. Hainzl, E. Hamza, R. Seiringer, J. Solovej, Communications in Mathematical Physics 281 (2008) 349–367.
View
| DOI
| Download (ext.)
C. Hainzl, E. Hamza, R. Seiringer, J. Solovej, Communications in Mathematical Physics 281 (2008) 349–367.
2008 | Published | Journal Article | IST-REx-ID: 2381 |

Non-linear ground state representations and sharp Hardy inequalities
R. Frank, R. Seiringer, Journal of Functional Analysis 255 (2008) 3407–3430.
View
| DOI
| Download (ext.)
R. Frank, R. Seiringer, Journal of Functional Analysis 255 (2008) 3407–3430.
2008 | Published | Journal Article | IST-REx-ID: 2382 |

The Lieb-Liniger model as a limit of dilute bosons in three dimensions
R. Seiringer, J. Yin, Communications in Mathematical Physics 284 (2008) 459–479.
View
| DOI
| Download (ext.)
R. Seiringer, J. Yin, Communications in Mathematical Physics 284 (2008) 459–479.
2008 | Published | Journal Article | IST-REx-ID: 2383 |

A nonlinear model for relativistic electrons at positive temperature
C. Hainzl, M. Lewin, R. Seiringer, Reviews in Mathematical Physics 20 (2008) 1283–1307.
View
| DOI
| Download (ext.)
C. Hainzl, M. Lewin, R. Seiringer, Reviews in Mathematical Physics 20 (2008) 1283–1307.
2007 | Published | Journal Article | IST-REx-ID: 2367 |

On the failure of subadditivity of the Wigner-Yanase entropy
R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.
View
| DOI
| Download (ext.)
R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.
2007 | Published | Journal Article | IST-REx-ID: 2370 |

Bose-Einstein condensation and spontaneous symmetry breaking
É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007) 389–399.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007) 389–399.
2007 | Published | Journal Article | IST-REx-ID: 2371 |

Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 275 (2007) 479–489.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 275 (2007) 479–489.
2007 | Published | Journal Article | IST-REx-ID: 2372 |

Müller's exchange-correlation energy in density-matrix-functional theory
R. Frank, É. Lieb, R. Seiringer, H. Siedentop, Physical Review A - Atomic, Molecular, and Optical Physics 76 (2007).
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, H. Siedentop, Physical Review A - Atomic, Molecular, and Optical Physics 76 (2007).
2007 | Published | Journal Article | IST-REx-ID: 2373 |

The critical temperature for the BCS equation at weak coupling
R. Frank, C. Hainzl, S. Naboko, R. Seiringer, Journal of Geometric Analysis 17 (2007) 559–567.
View
| DOI
| Download (ext.)
R. Frank, C. Hainzl, S. Naboko, R. Seiringer, Journal of Geometric Analysis 17 (2007) 559–567.
2007 | Published | Journal Article | IST-REx-ID: 2375 |

Number of bound states of Schrödinger operators with matrix-valued potentials
R. Frank, É. Lieb, R. Seiringer, Letters in Mathematical Physics 82 (2007) 107–116.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, Letters in Mathematical Physics 82 (2007) 107–116.
2006 | Published | Conference Paper | IST-REx-ID: 2333 |

Ground-state energy of a dilute Fermi gas
É. Lieb, R. Seiringer, J. Solovej, in:, American Mathematical Society, 2006, pp. 239–248.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Solovej, in:, American Mathematical Society, 2006, pp. 239–248.
2006 | Published | Conference Paper | IST-REx-ID: 2334 |

One-dimensional behavior of dilute, trapped Bose gases in traps
R. Seiringer, É. Lieb, J. Yngvason, in:, J. Zambrini (Ed.), World Scientific Publishing, 2006.
View
| DOI
| Download (ext.)
R. Seiringer, É. Lieb, J. Yngvason, in:, J. Zambrini (Ed.), World Scientific Publishing, 2006.
2006 | Published | Book Review | IST-REx-ID: 2363 |

Derivation of the Gross-Pitaevskii equation for rotating Bose gases
É. Lieb, R. Seiringer, Communications in Mathematical Physics 264 (2006) 505–537.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, Communications in Mathematical Physics 264 (2006) 505–537.
2006 | Published | Journal Article | IST-REx-ID: 2364 |

A correlation estimate for quantum many-body systems at positive temperature
R. Seiringer, Reviews in Mathematical Physics 18 (2006) 233–253.
View
| DOI
| Download (ext.)
R. Seiringer, Reviews in Mathematical Physics 18 (2006) 233–253.
2006 | Published | Journal Article | IST-REx-ID: 2365 |

The thermodynamic pressure of a dilute Fermi gas
R. Seiringer, Communications in Mathematical Physics 261 (2006) 729–757.
View
| DOI
| Download None (ext.)
R. Seiringer, Communications in Mathematical Physics 261 (2006) 729–757.
2006 | Published | Journal Article | IST-REx-ID: 2366 |

Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
R. Frank, A. Laptev, É. Lieb, R. Seiringer, Letters in Mathematical Physics 77 (2006) 309–316.
View
| DOI
| Download (ext.)
R. Frank, A. Laptev, É. Lieb, R. Seiringer, Letters in Mathematical Physics 77 (2006) 309–316.
2006 | Published | Book Chapter | IST-REx-ID: 2368
Dilute, trapped Bose gases and Bose-Einstein condensation
R. Seiringer, in:, J. Dereziński, H. Siedentop (Eds.), Large Coulomb Systems, Springer, 2006, pp. 249–274.
View
| DOI
R. Seiringer, in:, J. Dereziński, H. Siedentop (Eds.), Large Coulomb Systems, Springer, 2006, pp. 249–274.
2006 | Published | Book Chapter | IST-REx-ID: 2369 |

Bose-Einstein condensation as a quantum phase transition in an optical lattice
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, J. Asch, A. Joye (Eds.), Mathematical Physics of Quantum Mechanics, Springer, 2006, pp. 199–215.
View
| DOI
| Download (ext.)
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, J. Asch, A. Joye (Eds.), Mathematical Physics of Quantum Mechanics, Springer, 2006, pp. 199–215.
2005 | Published | Book | IST-REx-ID: 2335 |

The Mathematics of the Bose gas and its Condensation
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, The Mathematics of the Bose Gas and Its Condensation, Birkhäuser Verlag, Basel ; Berlin, 2005.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, The Mathematics of the Bose Gas and Its Condensation, Birkhäuser Verlag, Basel ; Berlin, 2005.
2005 | Published | Book Chapter | IST-REx-ID: 2336 |

The quantum-mechanical many-body problem: The Bose gas
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, M. Benedicks, P. Jones, S. Smirnov, B. Winckler (Eds.), Perspectives in Analysis, Springer, 2005, pp. 97–183.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, M. Benedicks, P. Jones, S. Smirnov, B. Winckler (Eds.), Perspectives in Analysis, Springer, 2005, pp. 97–183.
2005 | Published | Journal Article | IST-REx-ID: 2359 |

Justification of c-number substitutions in bosonic hamiltonians
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 94 (2005).
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 94 (2005).
2005 | Published | Journal Article | IST-REx-ID: 2361 |

Stronger subadditivity of entropy
É. Lieb, R. Seiringer, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
2005 | Published | Journal Article | IST-REx-ID: 2362 |

Ground state energy of the low density Fermi gas
É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
2004 | Published | Journal Article | IST-REx-ID: 2355 |

Equivalent forms of the Bessis-Moussa-Villani conjecture
É. Lieb, R. Seiringer, Journal of Statistical Physics 115 (2004) 185–190.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, Journal of Statistical Physics 115 (2004) 185–190.
2004 | Published | Journal Article | IST-REx-ID: 2356 |

One-dimensional behavior of dilute, trapped Bose gases
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 244 (2004) 347–393.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 244 (2004) 347–393.
2004 | Published | Journal Article | IST-REx-ID: 2360 |

Bose-Einstein quantum phase transition in an optical lattice model
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 70 (2004) 023612-1-0236121-2.
View
| DOI
| Download (ext.)
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 70 (2004) 023612-1-0236121-2.
2003 | Published | Conference Paper | IST-REx-ID: 2337 |

Bose-Einstein condensation of dilute gases in traps
É. Lieb, R. Seiringer, in:, Y. Karpeshina, R. Weikard, Y. Zeng (Eds.), American Mathematical Society, 2003, pp. 239–250.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, in:, Y. Karpeshina, R. Weikard, Y. Zeng (Eds.), American Mathematical Society, 2003, pp. 239–250.
2003 | Published | Journal Article | IST-REx-ID: 2354 |

Ground state asymptotics of a dilute, rotating gas
R. Seiringer, Journal of Physics A: Mathematical and Theoretical 36 (2003) 9755–9778.
View
| DOI
| Download (ext.)
R. Seiringer, Journal of Physics A: Mathematical and Theoretical 36 (2003) 9755–9778.
2003 | Published | Journal Article | IST-REx-ID: 2357 |

Poincaré inequalities in punctured domains
É. Lieb, R. Seiringer, J. Yngvason, Annals of Mathematics 158 (2003) 1067–1080.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Yngvason, Annals of Mathematics 158 (2003) 1067–1080.
2003 | Published | Journal Article | IST-REx-ID: 2358 |

One-dimensional Bosons in three-dimensional traps
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 91 (2003) 1504011–1504014.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 91 (2003) 1504011–1504014.
2002 | Published | Book Chapter | IST-REx-ID: 2338 |

The ground state of the Bose gas
É. Lieb, J. Solovej, R. Seiringer, J. Yngvason, in:, Current Developments in Mathematics, 2001, International Press, 2002, pp. 131–178.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
É. Lieb, J. Solovej, R. Seiringer, J. Yngvason, in:, Current Developments in Mathematics, 2001, International Press, 2002, pp. 131–178.
2002 | Published | Conference Paper | IST-REx-ID: 2339
Symmetry breaking in a model of a rotating Bose gas
R. Seiringer, in:, R. Weder, P. Exner, B. Grébert (Eds.), World Scientific Publishing, 2002, pp. 281–286.
View
| DOI
R. Seiringer, in:, R. Weder, P. Exner, B. Grébert (Eds.), World Scientific Publishing, 2002, pp. 281–286.
2002 | Published | Journal Article | IST-REx-ID: 2349 |

Proof of Bose-Einstein condensation for dilute trapped gases
É. Lieb, R. Seiringer, Physical Review Letters 88 (2002) 1704091–1704094.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, Physical Review Letters 88 (2002) 1704091–1704094.
2002 | Published | Journal Article | IST-REx-ID: 2350 |

Mass renormalization and energy level shift in non-relativistic QED
C. Hainzl, R. Seiringer, Advances in Theoretical and Mathematical Physics 6 (2002) 847–871.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
C. Hainzl, R. Seiringer, Advances in Theoretical and Mathematical Physics 6 (2002) 847–871.
2002 | Published | Journal Article | IST-REx-ID: 2351 |

Gross-Pitaevskii theory of the rotating Bose gas
R. Seiringer, Communications in Mathematical Physics 229 (2002) 491–509.
View
| DOI
| Download (ext.)
R. Seiringer, Communications in Mathematical Physics 229 (2002) 491–509.
2002 | Published | Journal Article | IST-REx-ID: 2352 |

General decomposition of radial functions on ℝn and applications to N-body quantum systems
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 61 (2002) 75–84.
View
| DOI
| Download (ext.)
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 61 (2002) 75–84.
2002 | Published | Journal Article | IST-REx-ID: 2353 |

Superfluidity in dilute trapped Bose gases
É. Lieb, R. Seiringer, J. Yngvason, Physical Review B - Condensed Matter and Materials Physics 66 (2002).
View
| DOI
| Download None (ext.)
| arXiv
É. Lieb, R. Seiringer, J. Yngvason, Physical Review B - Condensed Matter and Materials Physics 66 (2002).
2001 | Published | Conference Paper | IST-REx-ID: 2340 |

Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula
R. Seiringer, in:, M. Demuth, B. Schultze (Eds.), Birkhäuser, 2001, pp. 307–314.
View
| DOI
| Download None (ext.)
| arXiv
R. Seiringer, in:, M. Demuth, B. Schultze (Eds.), Birkhäuser, 2001, pp. 307–314.
2001 | Published | Journal Article | IST-REx-ID: 2341 |

Atoms with bosonic "electrons" in strong magnetic fields
B. Baumgartner, R. Seiringer, Annales Henri Poincare 2 (2001) 41–76.
View
| DOI
| Download None (ext.)
| arXiv
B. Baumgartner, R. Seiringer, Annales Henri Poincare 2 (2001) 41–76.
2001 | Published | Journal Article | IST-REx-ID: 2345 |

On the maximal ionization of atoms in strong magnetic fields
R. Seiringer, Journal of Physics A: Mathematical and General 34 (2001) 1943–1948.
View
| DOI
| Download None (ext.)
| arXiv
R. Seiringer, Journal of Physics A: Mathematical and General 34 (2001) 1943–1948.
2001 | Published | Journal Article | IST-REx-ID: 2346 |

Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 55 (2001) 133–142.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 55 (2001) 133–142.
2001 | Published | Journal Article | IST-REx-ID: 2347 |

A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 224 (2001) 17–31.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 224 (2001) 17–31.
2001 | Published | Journal Article | IST-REx-ID: 2348 |

A discrete density matrix theory for atoms in strong magnetic fields
C. Hainzl, R. Seiringer, Communications in Mathematical Physics 217 (2001) 229–248.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
C. Hainzl, R. Seiringer, Communications in Mathematical Physics 217 (2001) 229–248.
2000 | Published | Conference Paper | IST-REx-ID: 2325
Inequalities for Schrödinger operators and applications to the stability of matter problem
R. Seiringer, in:, American Mathematical Society, 2000, pp. 53–72.
View
| DOI
R. Seiringer, in:, American Mathematical Society, 2000, pp. 53–72.
2000 | Published | Conference Paper | IST-REx-ID: 2342 |

The ground state energy and density of interacting bosons in a trap
R. Seiringer, É. Lieb, J. Yngvason, in:, Proceedings of the International Symposium on Quantum Theory and Symmetries, World Scientific Publishing, 2000, pp. 101–110.
View
| Download None (ext.)
| arXiv
R. Seiringer, É. Lieb, J. Yngvason, in:, Proceedings of the International Symposium on Quantum Theory and Symmetries, World Scientific Publishing, 2000, pp. 101–110.
2000 | Published | Journal Article | IST-REx-ID: 2343 |

On the ordering of energy levels in homogeneous magnetic fields
B. Baumgartner, R. Seiringer, Letters in Mathematical Physics 54 (2000) 213–226.
View
| DOI
| Download (ext.)
B. Baumgartner, R. Seiringer, Letters in Mathematical Physics 54 (2000) 213–226.
2000 | Published | Journal Article | IST-REx-ID: 2344 |

Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 61 (2000) 436021–4360213.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 61 (2000) 436021–4360213.
Grants
174 Publications
2025 | Published | Journal Article | IST-REx-ID: 19403 |

BCS critical temperature on half-spaces
B. Roos, R. Seiringer, Archive for Rational Mechanics and Analysis 249 (2025).
[Published Version]
View
| Files available
| DOI
| arXiv
B. Roos, R. Seiringer, Archive for Rational Mechanics and Analysis 249 (2025).
2024 | Published | Journal Article | IST-REx-ID: 17478 |

The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass
M. Brooks, R. Seiringer, Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques 140 (2024) 271–309.
[Published Version]
View
| Files available
| DOI
| arXiv
M. Brooks, R. Seiringer, Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques 140 (2024) 271–309.
2024 | Published | Journal Article | IST-REx-ID: 18958
Many-body quantum systems
C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 20 (2024) 2247–2302.
View
| DOI
C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 20 (2024) 2247–2302.
2024 | Published | Journal Article | IST-REx-ID: 14931 |

Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion
A.B. Lauritsen, R. Seiringer, Journal of Functional Analysis 286 (2024).
[Published Version]
View
| Files available
| DOI
| arXiv
A.B. Lauritsen, R. Seiringer, Journal of Functional Analysis 286 (2024).
2024 | Published | Journal Article | IST-REx-ID: 18107 |

Pressure of a dilute spin-polarized Fermi gas: Lower bound
A.B. Lauritsen, R. Seiringer, Forum of Mathematics, Sigma 12 (2024).
[Published Version]
View
| Files available
| DOI
| arXiv
A.B. Lauritsen, R. Seiringer, Forum of Mathematics, Sigma 12 (2024).
2023 | Published | Journal Article | IST-REx-ID: 14254 |

A simple approach to Lieb-Thirring type inequalities
R. Seiringer, J.P. Solovej, Journal of Functional Analysis 285 (2023).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
R. Seiringer, J.P. Solovej, Journal of Functional Analysis 285 (2023).
2023 | Published | Book Chapter | IST-REx-ID: 14992 |

Universal Functionals in Density Functional Theory
M. Lewin, E.H. Lieb, R. Seiringer, in:, E. Cances, G. Friesecke (Eds.), Density Functional Theory, 1st ed., Springer, 2023, pp. 115–182.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
M. Lewin, E.H. Lieb, R. Seiringer, in:, E. Cances, G. Friesecke (Eds.), Density Functional Theory, 1st ed., Springer, 2023, pp. 115–182.
2023 | Published | Journal Article | IST-REx-ID: 14662 |

Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling
Seiringer, Robert, Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory 13 (3). 2023
[Published Version]
View
| Files available
| DOI
| arXiv
Seiringer, Robert, Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory 13 (3). 2023
2023 | Published | Journal Article | IST-REx-ID: 13225 |

Correlation energy of a weakly interacting Fermi gas with large interaction potential
N.P. Benedikter, M. Porta, B. Schlein, R. Seiringer, Archive for Rational Mechanics and Analysis 247 (2023).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
N.P. Benedikter, M. Porta, B. Schlein, R. Seiringer, Archive for Rational Mechanics and Analysis 247 (2023).
2023 | Published | Journal Article | IST-REx-ID: 13178 |

Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron
D.J. Mitrouskas, K. Mysliwy, R. Seiringer, Forum of Mathematics 11 (2023) 1–52.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
D.J. Mitrouskas, K. Mysliwy, R. Seiringer, Forum of Mathematics 11 (2023) 1–52.
2023 | Published | Journal Article | IST-REx-ID: 14441 |

The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy
M. Brooks, R. Seiringer, Communications in Mathematical Physics 404 (2023) 287–337.
[Published Version]
View
| Files available
| DOI
| arXiv
M. Brooks, R. Seiringer, Communications in Mathematical Physics 404 (2023) 287–337.
2023 | Published | Journal Article | IST-REx-ID: 17074 |

Validity of Bogoliubov’s approximation fortranslation-invariant Bose gases
M. Brooks, R. Seiringer, Probability and Mathematical Physics 3 (2023) 939–1000.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
M. Brooks, R. Seiringer, Probability and Mathematical Physics 3 (2023) 939–1000.
2023 | Published | Journal Article | IST-REx-ID: 12183 |

The Bose Gas in a box with Neumann boundary conditions
C. Boccato, R. Seiringer, Annales Henri Poincare 24 (2023) 1505–1560.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
C. Boccato, R. Seiringer, Annales Henri Poincare 24 (2023) 1505–1560.
2023 | Published | Journal Article | IST-REx-ID: 13207 |

Boundary superconductivity in the BCS model
C. Hainzl, B. Roos, R. Seiringer, Journal of Spectral Theory 12 (2023) 1507–1540.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
C. Hainzl, B. Roos, R. Seiringer, Journal of Spectral Theory 12 (2023) 1507–1540.
2023 | Published | Journal Article | IST-REx-ID: 14854 |

Ubiquity of bound states for the strongly coupled polaron
D.J. Mitrouskas, R. Seiringer, Pure and Applied Analysis 5 (2023) 973–1008.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
D.J. Mitrouskas, R. Seiringer, Pure and Applied Analysis 5 (2023) 973–1008.
2022 | Published | Journal Article | IST-REx-ID: 10537 |

Bosonization of fermionic many-body dynamics
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Annales Henri Poincaré 23 (2022) 1725–1764.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Annales Henri Poincaré 23 (2022) 1725–1764.
2022 | Published | Journal Article | IST-REx-ID: 12246 |

Improved Lieb–Oxford bound on the indirect and exchange energies
M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
M. Lewin, E.H. Lieb, R. Seiringer, Letters in Mathematical Physics 112 (2022).
2022 | Published | Journal Article | IST-REx-ID: 10564 |

Polaron models with regular interactions at strong coupling
K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
K. Mysliwy, R. Seiringer, Journal of Statistical Physics 186 (2022).
2022 | Published | Journal Article | IST-REx-ID: 11917 |

Large deviation estimates for weakly interacting bosons
S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).
[Published Version]
View
| Files available
| DOI
| WoS
S.A.E. Rademacher, R. Seiringer, Journal of Statistical Physics 188 (2022).
2022 | Published | Journal Article | IST-REx-ID: 10755 |

The effective mass problem for the Landau-Pekar equations
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Journal of Physics A: Mathematical and Theoretical 55 (2022).
[Published Version]
View
| Files available
| DOI
| arXiv
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Journal of Physics A: Mathematical and Theoretical 55 (2022).
2022 | Published | Journal Article | IST-REx-ID: 10850 |

Two-particle bound states at interfaces and corners
B. Roos, R. Seiringer, Journal of Functional Analysis 282 (2022).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
B. Roos, R. Seiringer, Journal of Functional Analysis 282 (2022).
2021 | Published | Journal Article | IST-REx-ID: 9256 |

Free energy asymptotics of the quantum Heisenberg spin chain
M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021).
[Published Version]
View
| Files available
| DOI
| WoS
M.M. Napiórkowski, R. Seiringer, Letters in Mathematical Physics 111 (2021).
2021 | Published | Journal Article | IST-REx-ID: 10738 |

The Landau–Pekar equations: Adiabatic theorem and accuracy
N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE 14 (2021) 2079–2100.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
N.K. Leopold, S.A.E. Rademacher, B. Schlein, R. Seiringer, Analysis and PDE 14 (2021) 2079–2100.
2021 | Published | Journal Article | IST-REx-ID: 9462 |

Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons
A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
A. Deuchert, R. Seiringer, Journal of Functional Analysis 281 (2021).
2021 | Published | Journal Article | IST-REx-ID: 10852 |

The polaron at strong coupling
R. Seiringer, Reviews in Mathematical Physics 33 (2021).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
R. Seiringer, Reviews in Mathematical Physics 33 (2021).
2021 | Published | Journal Article | IST-REx-ID: 9246 |

Derivation of the Landau–Pekar equations in a many-body mean-field limit
Leopold, Nikolai K, Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis 240. 2021
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
Leopold, Nikolai K, Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis 240. 2021
2021 | Published | Journal Article | IST-REx-ID: 8603 |

Quantum corrections to the Pekar asymptotics of a strongly coupled polaron
Frank, Rupert, Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics 74 (3). 2021
[Published Version]
View
| Files available
| DOI
| WoS
Frank, Rupert, Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics 74 (3). 2021
2021 | Published | Journal Article | IST-REx-ID: 10224 |

The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics
D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis 242 (2021) 1835–1906.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis 242 (2021) 1835–1906.
2021 | Published | Journal Article | IST-REx-ID: 7901 |

Correlation energy of a weakly interacting Fermi gas
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Inventiones Mathematicae 225 (2021) 885–979.
2021 | Published | Journal Article | IST-REx-ID: 14889 |

Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron
N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
N.K. Leopold, D.J. Mitrouskas, S.A.E. Rademacher, B. Schlein, R. Seiringer, Pure and Applied Analysis 3 (2021) 653–676.
2021 | Published | Journal Article | IST-REx-ID: 9318 |

Asymptotic expansion of low-energy excitations for weakly interacting bosons
L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).
[Published Version]
View
| Files available
| DOI
| WoS
L. Bossmann, S.P. Petrat, R. Seiringer, Forum of Mathematics, Sigma 9 (2021).
2021 | Published | Journal Article | IST-REx-ID: 9225 |

Persistence of the spectral gap for the Landau–Pekar equations
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).
[Published Version]
View
| Files available
| DOI
| WoS
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, Letters in Mathematical Physics 111 (2021).
2021 | Draft | Preprint | IST-REx-ID: 9787 |

The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics
D. Feliciangeli, R. Seiringer, ArXiv (n.d.).
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
D. Feliciangeli, R. Seiringer, ArXiv (n.d.).
2021 | Draft | Preprint | IST-REx-ID: 9791 |

The effective mass problem for the Landau-Pekar equations
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.).
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| arXiv
D. Feliciangeli, S.A.E. Rademacher, R. Seiringer, ArXiv (n.d.).
2020 | Published | Journal Article | IST-REx-ID: 14891 |

The local density approximation in density functional theory
M. Lewin, E.H. Lieb, R. Seiringer, Pure and Applied Analysis 2 (2020) 35–73.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
M. Lewin, E.H. Lieb, R. Seiringer, Pure and Applied Analysis 2 (2020) 35–73.
2020 | Published | Journal Article | IST-REx-ID: 15072
Many-body quantum systems
C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 16 (2020) 2541–2603.
View
| DOI
C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 16 (2020) 2541–2603.
2020 | Published | Journal Article | IST-REx-ID: 7790 |

The free energy of the two-dimensional dilute Bose gas. I. Lower bound
A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
A. Deuchert, S. Mayer, R. Seiringer, Forum of Mathematics, Sigma 8 (2020).
2020 | Published | Journal Article | IST-REx-ID: 8134 |

The free energy of the two-dimensional dilute Bose gas. II. Upper bound
Mayer, Simon, The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics 61 (6). 2020
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
Mayer, Simon, The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics 61 (6). 2020
2020 | Published | Journal Article | IST-REx-ID: 7650 |

Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature
A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236 (2020) 1217–1271.
2020 | Published | Journal Article | IST-REx-ID: 8091 |

Emergence of Haldane pseudo-potentials in systems with short-range interactions
Seiringer, Robert, Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics 181. 2020
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
Seiringer, Robert, Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics 181. 2020
2020 | Published | Journal Article | IST-REx-ID: 7235 |

Divergence of the effective mass of a polaron in the strong coupling limit
E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.
[Published Version]
View
| Files available
| DOI
| WoS
E.H. Lieb, R. Seiringer, Journal of Statistical Physics 180 (2020) 23–33.
2020 | Published | Journal Article | IST-REx-ID: 8705 |

Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit
K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
K. Mysliwy, R. Seiringer, Annales Henri Poincare 21 (2020) 4003–4025.
2020 | Published | Journal Article | IST-REx-ID: 8769 |

Quantum impurity model for anyons
E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
E. Yakaboylu, A. Ghazaryan, D. Lundholm, N. Rougerie, M. Lemeshko, R. Seiringer, Physical Review B 102 (2020).
2020 | Published | Journal Article | IST-REx-ID: 6649 |

Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
N.P. Benedikter, P.T. Nam, M. Porta, B. Schlein, R. Seiringer, Communications in Mathematical Physics 374 (2020) 2097–2150.
2020 | Published | Journal Article | IST-REx-ID: 9781 |

Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball
Feliciangeli, Dario, Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis 52 (1). 2020
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
Feliciangeli, Dario, Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis 52 (1). 2020
2019 | Published | Journal Article | IST-REx-ID: 7226 |

Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018
Jaksic, Vojkan, Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics 60 (12). 2019
[Published Version]
View
| Files available
| DOI
| WoS
Jaksic, Vojkan, Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics 60 (12). 2019
2019 | Draft | Preprint | IST-REx-ID: 7524 |

The free energy of the two-dimensional dilute Bose gas. I. Lower bound
A. Deuchert, S. Mayer, R. Seiringer, ArXiv (n.d.).
[Preprint]
View
| Files available
| Download Preprint (ext.)
| arXiv
A. Deuchert, S. Mayer, R. Seiringer, ArXiv (n.d.).
2019 | Published | Journal Article | IST-REx-ID: 7015 |

Floating Wigner crystal with no boundary charge fluctuations
M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| WoS
| arXiv
M. Lewin, E.H. Lieb, R. Seiringer, Physical Review B 100 (2019).
2019 | Published | Journal Article | IST-REx-ID: 80 |

Bose–Einstein condensation in a dilute, trapped gas at positive temperature
A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.
[Published Version]
View
| Files available
| DOI
| WoS
A. Deuchert, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 368 (2019) 723–776.
2019 | Published | Journal Article | IST-REx-ID: 5856 |

Energy contribution of a point-interacting impurity in a Fermi gas
Moser, Thomas, Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare 20 (4). 2019
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
Moser, Thomas, Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare 20 (4). 2019
2018 | Published | Journal Article | IST-REx-ID: 180 |

Statistical mechanics of the uniform electron gas
M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.
[Published Version]
View
| Files available
| DOI
| arXiv
M. Lewi, É. Lieb, R. Seiringer, Journal de l’Ecole Polytechnique - Mathematiques 5 (2018) 79–116.
2018 | Published | Journal Article | IST-REx-ID: 295 |

Fermionic behavior of ideal anyons
D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.
[Published Version]
View
| Files available
| DOI
| WoS
| arXiv
D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541.
2018 | Published | Journal Article | IST-REx-ID: 154 |

Stability of the 2+2 fermionic system with point interactions
Moser, Thomas, Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry 21 (3). 2018
[Published Version]
View
| Files available
| DOI
| WoS
Moser, Thomas, Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry 21 (3). 2018
2017 | Published | Journal Article | IST-REx-ID: 1198 |

Triviality of a model of particles with point interactions in the thermodynamic limit
T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.
[Published Version]
View
| Files available
| DOI
| WoS
T. Moser, R. Seiringer, Letters in Mathematical Physics 107 (2017) 533–552.
2017 | Published | Journal Article | IST-REx-ID: 741 |

Stability of a fermionic N+1 particle system with point interactions
Moser, Thomas, Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics 356 (1). 2017
[Published Version]
View
| Files available
| DOI
| WoS
Moser, Thomas, Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics 356 (1). 2017
2017 | Published | Journal Article | IST-REx-ID: 1120 |

Angular self-localization of impurities rotating in a bosonic bath
Li, Xiang, Angular self-localization of impurities rotating in a bosonic bath. Physical Review A 95 (3). 2017
[Published Version]
View
| Files available
| DOI
| Download Published Version (ext.)
| WoS
Li, Xiang, Angular self-localization of impurities rotating in a bosonic bath. Physical Review A 95 (3). 2017
2016 | Published | Journal Article | IST-REx-ID: 1486 |

The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties
C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).
[Preprint]
View
| DOI
| Download Preprint (ext.)
C. Hainzl, R. Seiringer, Journal of Mathematical Physics 57 (2016).
2016 | Published | Journal Article | IST-REx-ID: 1620 |

The external field dependence of the BCS critical temperature
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical Physics 342 (2016) 189–216.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Communications in Mathematical Physics 342 (2016) 189–216.
2016 | Published | Journal Article | IST-REx-ID: 1143 |

Ground states of large bosonic systems: The gross Pitaevskii limit revisited
P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.
[Preprint]
View
| DOI
| Download Preprint (ext.)
P. Nam, N. Rougerie, R. Seiringer, Analysis and PDE 9 (2016) 459–485.
2016 | Published | Conference Paper | IST-REx-ID: 1428 |

Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics: Conference Series, IOP Publishing, 2016.
[Published Version]
View
| Files available
| DOI
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, in:, Journal of Physics: Conference Series, IOP Publishing, 2016.
2016 | Published | Journal Article | IST-REx-ID: 1478 |

Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas
R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).
[Published Version]
View
| Files available
| DOI
R. Seiringer, S. Warzel, New Journal of Physics 18 (2016).
2016 | Published | Journal Article | IST-REx-ID: 1259 |

Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit
G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016).
[Published Version]
View
| Files available
| DOI
G. Bräunlich, C. Hainzl, R. Seiringer, Mathematical Physics, Analysis and Geometry 19 (2016).
2016 | Published | Journal Article | IST-REx-ID: 1291 |

Periodic striped ground states in Ising models with competing interactions
A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007.
[Published Version]
View
| Files available
| DOI
A. Giuliani, R. Seiringer, Communications in Mathematical Physics 347 (2016) 983–1007.
2016 | Published | Journal Article | IST-REx-ID: 1422 |

Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations
R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923.
[Published Version]
View
| Files available
| DOI
R. Frank, C. Hainzl, B. Schlein, R. Seiringer, Letters in Mathematical Physics 106 (2016) 913–923.
2015 | Published | Journal Article | IST-REx-ID: 1704 |

Note on a family of monotone quantum relative entropies
A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105 (2015) 1449–1466.
[Preprint]
View
| Files available
| DOI
| Download Preprint (ext.)
A. Deuchert, C. Hainzl, R. Seiringer, Letters in Mathematical Physics 105 (2015) 1449–1466.
2015 | Published | Journal Article | IST-REx-ID: 1572 |

Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet
M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics 339 (2015) 279–307.
[Preprint]
View
| DOI
| Download Preprint (ext.)
M. Correggi, A. Giuliani, R. Seiringer, Communications in Mathematical Physics 339 (2015) 279–307.
2015 | Published | Journal Article | IST-REx-ID: 2085 |

Collective excitations of Bose gases in the mean-field regime
P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015) 381–417.
[Preprint]
View
| DOI
| Download Preprint (ext.)
P. Nam, R. Seiringer, Archive for Rational Mechanics and Analysis 215 (2015) 381–417.
2015 | Published | Journal Article | IST-REx-ID: 1880 |

Superfluid behavior of a Bose-Einstein condensate in a random potential
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics 17 (2015).
[Published Version]
View
| Files available
| DOI
M. Könenberg, T. Moser, R. Seiringer, J. Yngvason, New Journal of Physics 17 (2015).
2015 | Published | Journal Article | IST-REx-ID: 1573 |

Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and Applied Mathematics 68 (2015) 1845–1884.
[Preprint]
View
| DOI
| Download Preprint (ext.)
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Communications on Pure and Applied Mathematics 68 (2015) 1845–1884.
2014 | Published | Journal Article | IST-REx-ID: 2281 |

On the mass concentration for Bose-Einstein condensates with attractive interactions
Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
Y. Guo, R. Seiringer, Letters in Mathematical Physics 104 (2014) 141–156.
2014 | Published | Conference Paper | IST-REx-ID: 1516 |

On the BCS gap equation for superfluid fermionic gases
G. Bräunlich, C. Hainzl, R. Seiringer, in:, Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–137.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
G. Bräunlich, C. Hainzl, R. Seiringer, in:, Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–137.
2014 | Published | Conference Paper | IST-REx-ID: 8044 |

Structure of the excitation spectrum for many-body quantum systems
R. Seiringer, in:, Proceeding of the International Congress of Mathematicans, International Congress of Mathematicians, 2014, pp. 1175–1194.
[Published Version]
View
| Download Published Version (ext.)
R. Seiringer, in:, Proceeding of the International Congress of Mathematicans, International Congress of Mathematicians, 2014, pp. 1175–1194.
2014 | Published | Journal Article | IST-REx-ID: 1822
Introduction
V. Jakšić, C. Pillet, R. Seiringer, Journal of Mathematical Physics 55 (2014).
View
| DOI
V. Jakšić, C. Pillet, R. Seiringer, Journal of Mathematical Physics 55 (2014).
2014 | Published | Journal Article | IST-REx-ID: 1889 |

Translation-invariant quasi-free states for fermionic systems and the BCS approximation
G. Bräunlich, C. Hainzl, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
| arXiv
G. Bräunlich, C. Hainzl, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
2014 | Published | Journal Article | IST-REx-ID: 1935 |

Formation of stripes and slabs near the ferromagnetic transition
A. Giuliani, É. Lieb, R. Seiringer, Communications in Mathematical Physics 331 (2014) 333–350.
[Published Version]
View
| Files available
| DOI
| arXiv
A. Giuliani, É. Lieb, R. Seiringer, Communications in Mathematical Physics 331 (2014) 333–350.
2014 | Published | Journal Article | IST-REx-ID: 2029 |

Validity of spin-wave theory for the quantum Heisenberg model
M. Correggi, A. Giuliani, R. Seiringer, EPL 108 (2014).
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
M. Correggi, A. Giuliani, R. Seiringer, EPL 108 (2014).
2014 | Published | Journal Article | IST-REx-ID: 10814
The excitation spectrum for Bose fluids with weak interactions
R. Seiringer, Jahresbericht Der Deutschen Mathematiker-Vereinigung 116 (2014) 21–41.
View
| DOI
R. Seiringer, Jahresbericht Der Deutschen Mathematiker-Vereinigung 116 (2014) 21–41.
2014 | Published | Journal Article | IST-REx-ID: 1821 |

Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation
R. Seiringer, Journal of Mathematical Physics 55 (2014).
[Submitted Version]
View
| Files available
| DOI
R. Seiringer, Journal of Mathematical Physics 55 (2014).
2014 | Published | Journal Article | IST-REx-ID: 1918 |

Existence of ground states for negative ions at the binding threshold
J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
J. Bellazzini, R. Frank, É. Lieb, R. Seiringer, Reviews in Mathematical Physics 26 (2014).
2014 | Published | Journal Article | IST-REx-ID: 2186 |

On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics 104 (2014) 871–891.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
T. Chen, C. Hainzl, N. Pavlović, R. Seiringer, Letters in Mathematical Physics 104 (2014) 871–891.
2014 | Published | Journal Article | IST-REx-ID: 1904 |

Strichartz inequality for orthonormal functions
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Journal of the European Mathematical Society 16 (2014) 1507–1526.
2014 | Published | Journal Article | IST-REx-ID: 2407 |

Equivalence of two definitions of the effective mass of a polaron
É. Lieb, R. Seiringer, Journal of Statistical Physics 154 (2014) 51–57.
[Submitted Version]
View
| DOI
| Download Submitted Version (ext.)
É. Lieb, R. Seiringer, Journal of Statistical Physics 154 (2014) 51–57.
2013 | Published | Journal Article | IST-REx-ID: 2297 |

Hot topics in cold gases: A mathematical physics perspective
R. Seiringer, Japanese Journal of Mathematics 8 (2013) 185–232.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
R. Seiringer, Japanese Journal of Mathematics 8 (2013) 185–232.
2013 | Published | Journal Article | IST-REx-ID: 2300 |

Realization of stripes and slabs in two and three dimensions
A. Giuliani, É. Lieb, R. Seiringer, Physical Review B 88 (2013).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
A. Giuliani, É. Lieb, R. Seiringer, Physical Review B 88 (2013).
2013 | Published | Conference Paper | IST-REx-ID: 2315 |

Disordered Bose-Einstein condensates with interaction
R. Seiringer, J. Yngvason, V. Zagrebnov, in:, World Scientific Publishing, 2013, pp. 610–619.
View
| DOI
| Download None (ext.)
| arXiv
R. Seiringer, J. Yngvason, V. Zagrebnov, in:, World Scientific Publishing, 2013, pp. 610–619.
2013 | Published | Conference Paper | IST-REx-ID: 2319 |

Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, Springer, 2013, pp. 57–88.
View
| DOI
| Download (ext.)
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, Springer, 2013, pp. 57–88.
2013 | Published | Journal Article | IST-REx-ID: 2404 |

A positive density analogue of the Lieb-Thirring inequality
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Duke Mathematical Journal 162 (2013) 435–495.
View
| DOI
| Download (ext.)
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Duke Mathematical Journal 162 (2013) 435–495.
2013 | Published | Journal Article | IST-REx-ID: 2405 |

Symmetry of bipolaron bound states for small Coulomb repulsion
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 319 (2013) 557–573.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 319 (2013) 557–573.
2013 | Published | Journal Article | IST-REx-ID: 2406
Condensation of interacting bosons in a random potential
R. Seiringer, J. Yngvason, V. Zagrebnov, European Physical Journal: Special Topics 217 (2013) 103–107.
View
| DOI
R. Seiringer, J. Yngvason, V. Zagrebnov, European Physical Journal: Special Topics 217 (2013) 103–107.
2013 | Published | Journal Article | IST-REx-ID: 2408 |

The excitation spectrum for weakly interacting Bosons in a trap
P. Grech, R. Seiringer, Communications in Mathematical Physics 322 (2013) 559–591.
View
| DOI
| Download (ext.)
P. Grech, R. Seiringer, Communications in Mathematical Physics 322 (2013) 559–591.
2012 | Published | Conference Paper | IST-REx-ID: 2316 |

Ground state properties of multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2012, pp. 477–485.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2012, pp. 477–485.
2012 | Published | Conference Paper | IST-REx-ID: 2317 |

Microscopic derivation of the Ginzburg-Landau model
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583.
View
| DOI
| Download (ext.)
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, in:, World Scientific Publishing, 2012, pp. 575–583.
2012 | Published | Journal Article | IST-REx-ID: 2318 |

Absence of bound states implies non-negativity of the scattering length
R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.
[Preprint]
View
| DOI
| Download Preprint (ext.)
R. Seiringer, Journal of Spectral Theory 2 (2012) 321–328.
2012 | Published | Journal Article | IST-REx-ID: 2394
The gap equation for spin-polarized fermions
A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).
View
| DOI
A. Freiji, C. Hainzl, R. Seiringer, Journal of Mathematical Physics 53 (2012).
2012 | Published | Journal Article | IST-REx-ID: 2395 |

Microscopic derivation of Ginzburg-Landau theory
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713.
View
| DOI
| Download (ext.)
R. Frank, C. Hainzl, R. Seiringer, J. Solovej, Journal of the American Mathematical Society 25 (2012) 667–713.
2012 | Published | Journal Article | IST-REx-ID: 2396 |

The scattering length at positive temperature
B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.
View
| DOI
| Download (ext.)
B. Landon, R. Seiringer, Letters in Mathematical Physics 100 (2012) 237–243.
2012 | Published | Journal Article | IST-REx-ID: 2397 |

Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.
View
| DOI
| Download (ext.)
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 100 (2012) 119–138.
2012 | Published | Book Review | IST-REx-ID: 2398 |

Quantum hypothesis testing and non-equilibrium statistical mechanics
V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (2012).
View
| DOI
| Download (ext.)
V. Jakšić, Y. Ogata, C. Pillet, R. Seiringer, Reviews in Mathematical Physics 24 (2012).
2012 | Published | Book Chapter | IST-REx-ID: 2399
Cold quantum gases and bose einstein condensation
R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 55–92.
View
| DOI
R. Seiringer, in:, V. Rivasseau, R. Seiringer, J. Solovej, T. Spencer (Eds.), Quantum Many Body Systems, Springer, 2012, pp. 55–92.
2012 | Published | Journal Article | IST-REx-ID: 2400 |

Binding of polarons and atoms at threshold
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 313 (2012) 405–424.
2012 | Published | Journal Article | IST-REx-ID: 2401 |

Further implications of the Bessis-Moussa-Villani conjecture
É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, Journal of Statistical Physics 149 (2012) 86–91.
2012 | Published | Journal Article | IST-REx-ID: 2402 |

Lieb-Thirring inequality for a model of particles with point interactions
R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).
View
| DOI
| Download (ext.)
R. Frank, R. Seiringer, Journal of Mathematical Physics 53 (2012).
2012 | Published | Journal Article | IST-REx-ID: 2403 |

Disordered Bose-Einstein condensates with interaction in one dimension
R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012).
View
| DOI
| Download (ext.)
R. Seiringer, J. Yngvason, V. Zagrebnov, Journal of Statistical Mechanics Theory and Experiment 2012 (2012).
2011 | Published | Conference Paper | IST-REx-ID: 2320 |

Binding, stability, and non-binding of multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2011, pp. 21–32.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, L. Thomas, in:, World Scientific Publishing, 2011, pp. 21–32.
2011 | Published | Conference Paper | IST-REx-ID: 2321 |

A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials
R. Frank, A. Laptev, R. Seiringer, in:, Springer, 2011, pp. 39–44.
View
| DOI
| Download (ext.)
R. Frank, A. Laptev, R. Seiringer, in:, Springer, 2011, pp. 39–44.
2011 | Published | Journal Article | IST-REx-ID: 2390 |

Stability and absence of binding for multi-polaron systems
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113 (2011) 39–67.
2011 | Published | Journal Article | IST-REx-ID: 2391 |

Energy cost to make a hole in the fermi sea
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Physical Review Letters 106 (2011).
View
| DOI
| Download (ext.)
R. Frank, M. Lewin, É. Lieb, R. Seiringer, Physical Review Letters 106 (2011).
2011 | Published | Journal Article | IST-REx-ID: 2393 |

The excitation spectrum for weakly interacting Bosons
R. Seiringer, Communications in Mathematical Physics 306 (2011) 565–578.
View
| DOI
| Download (ext.)
R. Seiringer, Communications in Mathematical Physics 306 (2011) 565–578.
2010 | Published | Conference Paper | IST-REx-ID: 2322 |

Equivalence of Sobolev inequalities and Lieb-Thirring inequalities
R. Frank, É. Lieb, R. Seiringer, in:, World Scientific Publishing, 2010, pp. 523–535.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, in:, World Scientific Publishing, 2010, pp. 523–535.
2010 | Published | Conference Paper | IST-REx-ID: 2323 |

Hot topics on cold gases
R. Seiringer, in:, World Scientific Publishing, 2010, pp. 231–245.
View
| DOI
| Download (ext.)
R. Seiringer, in:, World Scientific Publishing, 2010, pp. 231–245.
2010 | Published | Book Chapter | IST-REx-ID: 2324 |

Sharp fractional Hardy inequalities in half-spaces
R. Frank, R. Seiringer, in:, Around the Research of Vladimir Maz’ya I, Springer, 2010, pp. 161–167.
View
| DOI
| Download (ext.)
R. Frank, R. Seiringer, in:, Around the Research of Vladimir Maz’ya I, Springer, 2010, pp. 161–167.
2010 | Published | Journal Article | IST-REx-ID: 2389 |

Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy
C. Hainzl, R. Seiringer, Mathematische Nachrichten 283 (2010) 489–499.
View
| DOI
| Download (ext.)
C. Hainzl, R. Seiringer, Mathematische Nachrichten 283 (2010) 489–499.
2010 | Published | Journal Article | IST-REx-ID: 2392 |

Bipolaron and N-polaron binding energies
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Physical Review Letters 104 (2010).
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, L. Thomas, Physical Review Letters 104 (2010).
2009 | Published | Book | IST-REx-ID: 2326
The Stability of Matter in Quantum Mechanics
É. Lieb, R. Seiringer, The Stability of Matter in Quantum Mechanics, Cambridge University Press, 2009.
View
| Download None (ext.)
É. Lieb, R. Seiringer, The Stability of Matter in Quantum Mechanics, Cambridge University Press, 2009.
2009 | Published | Conference Paper | IST-REx-ID: 2330
A linear criterion for solutions of non-linear equations, with application to the BCS gap equation
C. Hainzl, R. Seiringer, in:, American Mathematical Society, 2009, pp. 101–104.
View
| DOI
C. Hainzl, R. Seiringer, in:, American Mathematical Society, 2009, pp. 101–104.
2009 | Published | Journal Article | IST-REx-ID: 2384 |

The ground state energy of the weakly interacting Bose gas at high density
A. Giuliani, R. Seiringer, Journal of Statistical Physics 135 (2009) 915–934.
View
| DOI
| Download (ext.)
A. Giuliani, R. Seiringer, Journal of Statistical Physics 135 (2009) 915–934.
2009 | Published | Journal Article | IST-REx-ID: 2385 |

Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 79 (2009).
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 79 (2009).
2009 | Published | Journal Article | IST-REx-ID: 2386 |

Rigorous upper bound on the critical temperature of dilute Bose gases
R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials Physics 80 (2009).
View
| DOI
| Download (ext.)
R. Seiringer, D. Ueltschi, Physical Review B - Condensed Matter and Materials Physics 80 (2009).
2009 | Published | Journal Article | IST-REx-ID: 2387 |

Strongly correlated phases in rapidly rotating Bose gases
M. Lewin, R. Seiringer, Journal of Statistical Physics 137 (2009) 1040–1062.
View
| DOI
| Download (ext.)
M. Lewin, R. Seiringer, Journal of Statistical Physics 137 (2009) 1040–1062.
2009 | Published | Journal Article | IST-REx-ID: 2388 |

Probabilistic coherence and proper scoring rules
J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, S. Kulkarni, IEEE Transactions on Information Theory 55 (2009) 4786–4792.
View
| DOI
| Download (ext.)
J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, S. Kulkarni, IEEE Transactions on Information Theory 55 (2009) 4786–4792.
2008 | Published | Conference Paper | IST-REx-ID: 2331 |

Spectral properties of the BCS gap equation of superfluidity
C. Hainzl, R. Seiringer, in:, World Scientific Publishing, 2008, pp. 117–136.
View
| DOI
| Download (ext.)
C. Hainzl, R. Seiringer, in:, World Scientific Publishing, 2008, pp. 117–136.
2008 | Published | Conference Paper | IST-REx-ID: 2332 |

Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases
R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.
View
| DOI
| Download (ext.)
R. Seiringer, in:, World Scientific Publishing, 2008, pp. 241–254.
2008 | Published | Journal Article | IST-REx-ID: 2374 |

Free energy of a dilute Bose gas: Lower bound
R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.
View
| DOI
| Download (ext.)
R. Seiringer, Communications in Mathematical Physics 279 (2008) 595–636.
2008 | Published | Journal Article | IST-REx-ID: 2376 |

Critical temperature and energy gap for the BCS equation
C. Hainzl, R. Seiringer, Physical Review B - Condensed Matter and Materials Physics 77 (2008).
View
| DOI
| Download (ext.)
C. Hainzl, R. Seiringer, Physical Review B - Condensed Matter and Materials Physics 77 (2008).
2008 | Published | Journal Article | IST-REx-ID: 2377 |

The BCS critical temperature for potentials with negative scattering length
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 84 (2008) 99–107.
View
| DOI
| Download (ext.)
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 84 (2008) 99–107.
2008 | Published | Journal Article | IST-REx-ID: 2378 |

Ground state energy of the low density hubbard model
R. Seiringer, J. Yin, Journal of Statistical Physics 131 (2008) 1139–1154.
View
| DOI
| Download (ext.)
R. Seiringer, J. Yin, Journal of Statistical Physics 131 (2008) 1139–1154.
2008 | Published | Journal Article | IST-REx-ID: 2379 |

Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
R. Frank, É. Lieb, R. Seiringer, Journal of the American Mathematical Society 21 (2008) 925–950.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, Journal of the American Mathematical Society 21 (2008) 925–950.
2008 | Published | Journal Article | IST-REx-ID: 2380 |

The BCS functional for general pair interactions
C. Hainzl, E. Hamza, R. Seiringer, J. Solovej, Communications in Mathematical Physics 281 (2008) 349–367.
View
| DOI
| Download (ext.)
C. Hainzl, E. Hamza, R. Seiringer, J. Solovej, Communications in Mathematical Physics 281 (2008) 349–367.
2008 | Published | Journal Article | IST-REx-ID: 2381 |

Non-linear ground state representations and sharp Hardy inequalities
R. Frank, R. Seiringer, Journal of Functional Analysis 255 (2008) 3407–3430.
View
| DOI
| Download (ext.)
R. Frank, R. Seiringer, Journal of Functional Analysis 255 (2008) 3407–3430.
2008 | Published | Journal Article | IST-REx-ID: 2382 |

The Lieb-Liniger model as a limit of dilute bosons in three dimensions
R. Seiringer, J. Yin, Communications in Mathematical Physics 284 (2008) 459–479.
View
| DOI
| Download (ext.)
R. Seiringer, J. Yin, Communications in Mathematical Physics 284 (2008) 459–479.
2008 | Published | Journal Article | IST-REx-ID: 2383 |

A nonlinear model for relativistic electrons at positive temperature
C. Hainzl, M. Lewin, R. Seiringer, Reviews in Mathematical Physics 20 (2008) 1283–1307.
View
| DOI
| Download (ext.)
C. Hainzl, M. Lewin, R. Seiringer, Reviews in Mathematical Physics 20 (2008) 1283–1307.
2007 | Published | Journal Article | IST-REx-ID: 2367 |

On the failure of subadditivity of the Wigner-Yanase entropy
R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.
View
| DOI
| Download (ext.)
R. Seiringer, Letters in Mathematical Physics 80 (2007) 285–288.
2007 | Published | Journal Article | IST-REx-ID: 2370 |

Bose-Einstein condensation and spontaneous symmetry breaking
É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007) 389–399.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Yngvason, Reports on Mathematical Physics 59 (2007) 389–399.
2007 | Published | Journal Article | IST-REx-ID: 2371 |

Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 275 (2007) 479–489.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, Communications in Mathematical Physics 275 (2007) 479–489.
2007 | Published | Journal Article | IST-REx-ID: 2372 |

Müller's exchange-correlation energy in density-matrix-functional theory
R. Frank, É. Lieb, R. Seiringer, H. Siedentop, Physical Review A - Atomic, Molecular, and Optical Physics 76 (2007).
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, H. Siedentop, Physical Review A - Atomic, Molecular, and Optical Physics 76 (2007).
2007 | Published | Journal Article | IST-REx-ID: 2373 |

The critical temperature for the BCS equation at weak coupling
R. Frank, C. Hainzl, S. Naboko, R. Seiringer, Journal of Geometric Analysis 17 (2007) 559–567.
View
| DOI
| Download (ext.)
R. Frank, C. Hainzl, S. Naboko, R. Seiringer, Journal of Geometric Analysis 17 (2007) 559–567.
2007 | Published | Journal Article | IST-REx-ID: 2375 |

Number of bound states of Schrödinger operators with matrix-valued potentials
R. Frank, É. Lieb, R. Seiringer, Letters in Mathematical Physics 82 (2007) 107–116.
View
| DOI
| Download (ext.)
R. Frank, É. Lieb, R. Seiringer, Letters in Mathematical Physics 82 (2007) 107–116.
2006 | Published | Conference Paper | IST-REx-ID: 2333 |

Ground-state energy of a dilute Fermi gas
É. Lieb, R. Seiringer, J. Solovej, in:, American Mathematical Society, 2006, pp. 239–248.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Solovej, in:, American Mathematical Society, 2006, pp. 239–248.
2006 | Published | Conference Paper | IST-REx-ID: 2334 |

One-dimensional behavior of dilute, trapped Bose gases in traps
R. Seiringer, É. Lieb, J. Yngvason, in:, J. Zambrini (Ed.), World Scientific Publishing, 2006.
View
| DOI
| Download (ext.)
R. Seiringer, É. Lieb, J. Yngvason, in:, J. Zambrini (Ed.), World Scientific Publishing, 2006.
2006 | Published | Book Review | IST-REx-ID: 2363 |

Derivation of the Gross-Pitaevskii equation for rotating Bose gases
É. Lieb, R. Seiringer, Communications in Mathematical Physics 264 (2006) 505–537.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, Communications in Mathematical Physics 264 (2006) 505–537.
2006 | Published | Journal Article | IST-REx-ID: 2364 |

A correlation estimate for quantum many-body systems at positive temperature
R. Seiringer, Reviews in Mathematical Physics 18 (2006) 233–253.
View
| DOI
| Download (ext.)
R. Seiringer, Reviews in Mathematical Physics 18 (2006) 233–253.
2006 | Published | Journal Article | IST-REx-ID: 2365 |

The thermodynamic pressure of a dilute Fermi gas
R. Seiringer, Communications in Mathematical Physics 261 (2006) 729–757.
View
| DOI
| Download None (ext.)
R. Seiringer, Communications in Mathematical Physics 261 (2006) 729–757.
2006 | Published | Journal Article | IST-REx-ID: 2366 |

Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
R. Frank, A. Laptev, É. Lieb, R. Seiringer, Letters in Mathematical Physics 77 (2006) 309–316.
View
| DOI
| Download (ext.)
R. Frank, A. Laptev, É. Lieb, R. Seiringer, Letters in Mathematical Physics 77 (2006) 309–316.
2006 | Published | Book Chapter | IST-REx-ID: 2368
Dilute, trapped Bose gases and Bose-Einstein condensation
R. Seiringer, in:, J. Dereziński, H. Siedentop (Eds.), Large Coulomb Systems, Springer, 2006, pp. 249–274.
View
| DOI
R. Seiringer, in:, J. Dereziński, H. Siedentop (Eds.), Large Coulomb Systems, Springer, 2006, pp. 249–274.
2006 | Published | Book Chapter | IST-REx-ID: 2369 |

Bose-Einstein condensation as a quantum phase transition in an optical lattice
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, J. Asch, A. Joye (Eds.), Mathematical Physics of Quantum Mechanics, Springer, 2006, pp. 199–215.
View
| DOI
| Download (ext.)
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, J. Asch, A. Joye (Eds.), Mathematical Physics of Quantum Mechanics, Springer, 2006, pp. 199–215.
2005 | Published | Book | IST-REx-ID: 2335 |

The Mathematics of the Bose gas and its Condensation
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, The Mathematics of the Bose Gas and Its Condensation, Birkhäuser Verlag, Basel ; Berlin, 2005.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, The Mathematics of the Bose Gas and Its Condensation, Birkhäuser Verlag, Basel ; Berlin, 2005.
2005 | Published | Book Chapter | IST-REx-ID: 2336 |

The quantum-mechanical many-body problem: The Bose gas
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, M. Benedicks, P. Jones, S. Smirnov, B. Winckler (Eds.), Perspectives in Analysis, Springer, 2005, pp. 97–183.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, in:, M. Benedicks, P. Jones, S. Smirnov, B. Winckler (Eds.), Perspectives in Analysis, Springer, 2005, pp. 97–183.
2005 | Published | Journal Article | IST-REx-ID: 2359 |

Justification of c-number substitutions in bosonic hamiltonians
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 94 (2005).
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 94 (2005).
2005 | Published | Journal Article | IST-REx-ID: 2361 |

Stronger subadditivity of entropy
É. Lieb, R. Seiringer, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
2005 | Published | Journal Article | IST-REx-ID: 2362 |

Ground state energy of the low density Fermi gas
É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Solovej, Physical Review A - Atomic, Molecular, and Optical Physics 71 (2005).
2004 | Published | Journal Article | IST-REx-ID: 2355 |

Equivalent forms of the Bessis-Moussa-Villani conjecture
É. Lieb, R. Seiringer, Journal of Statistical Physics 115 (2004) 185–190.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, Journal of Statistical Physics 115 (2004) 185–190.
2004 | Published | Journal Article | IST-REx-ID: 2356 |

One-dimensional behavior of dilute, trapped Bose gases
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 244 (2004) 347–393.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 244 (2004) 347–393.
2004 | Published | Journal Article | IST-REx-ID: 2360 |

Bose-Einstein quantum phase transition in an optical lattice model
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 70 (2004) 023612-1-0236121-2.
View
| DOI
| Download (ext.)
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 70 (2004) 023612-1-0236121-2.
2003 | Published | Conference Paper | IST-REx-ID: 2337 |

Bose-Einstein condensation of dilute gases in traps
É. Lieb, R. Seiringer, in:, Y. Karpeshina, R. Weikard, Y. Zeng (Eds.), American Mathematical Society, 2003, pp. 239–250.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, in:, Y. Karpeshina, R. Weikard, Y. Zeng (Eds.), American Mathematical Society, 2003, pp. 239–250.
2003 | Published | Journal Article | IST-REx-ID: 2354 |

Ground state asymptotics of a dilute, rotating gas
R. Seiringer, Journal of Physics A: Mathematical and Theoretical 36 (2003) 9755–9778.
View
| DOI
| Download (ext.)
R. Seiringer, Journal of Physics A: Mathematical and Theoretical 36 (2003) 9755–9778.
2003 | Published | Journal Article | IST-REx-ID: 2357 |

Poincaré inequalities in punctured domains
É. Lieb, R. Seiringer, J. Yngvason, Annals of Mathematics 158 (2003) 1067–1080.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Yngvason, Annals of Mathematics 158 (2003) 1067–1080.
2003 | Published | Journal Article | IST-REx-ID: 2358 |

One-dimensional Bosons in three-dimensional traps
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 91 (2003) 1504011–1504014.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, J. Yngvason, Physical Review Letters 91 (2003) 1504011–1504014.
2002 | Published | Book Chapter | IST-REx-ID: 2338 |

The ground state of the Bose gas
É. Lieb, J. Solovej, R. Seiringer, J. Yngvason, in:, Current Developments in Mathematics, 2001, International Press, 2002, pp. 131–178.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
É. Lieb, J. Solovej, R. Seiringer, J. Yngvason, in:, Current Developments in Mathematics, 2001, International Press, 2002, pp. 131–178.
2002 | Published | Conference Paper | IST-REx-ID: 2339
Symmetry breaking in a model of a rotating Bose gas
R. Seiringer, in:, R. Weder, P. Exner, B. Grébert (Eds.), World Scientific Publishing, 2002, pp. 281–286.
View
| DOI
R. Seiringer, in:, R. Weder, P. Exner, B. Grébert (Eds.), World Scientific Publishing, 2002, pp. 281–286.
2002 | Published | Journal Article | IST-REx-ID: 2349 |

Proof of Bose-Einstein condensation for dilute trapped gases
É. Lieb, R. Seiringer, Physical Review Letters 88 (2002) 1704091–1704094.
View
| DOI
| Download (ext.)
É. Lieb, R. Seiringer, Physical Review Letters 88 (2002) 1704091–1704094.
2002 | Published | Journal Article | IST-REx-ID: 2350 |

Mass renormalization and energy level shift in non-relativistic QED
C. Hainzl, R. Seiringer, Advances in Theoretical and Mathematical Physics 6 (2002) 847–871.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
C. Hainzl, R. Seiringer, Advances in Theoretical and Mathematical Physics 6 (2002) 847–871.
2002 | Published | Journal Article | IST-REx-ID: 2351 |

Gross-Pitaevskii theory of the rotating Bose gas
R. Seiringer, Communications in Mathematical Physics 229 (2002) 491–509.
View
| DOI
| Download (ext.)
R. Seiringer, Communications in Mathematical Physics 229 (2002) 491–509.
2002 | Published | Journal Article | IST-REx-ID: 2352 |

General decomposition of radial functions on ℝn and applications to N-body quantum systems
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 61 (2002) 75–84.
View
| DOI
| Download (ext.)
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 61 (2002) 75–84.
2002 | Published | Journal Article | IST-REx-ID: 2353 |

Superfluidity in dilute trapped Bose gases
É. Lieb, R. Seiringer, J. Yngvason, Physical Review B - Condensed Matter and Materials Physics 66 (2002).
View
| DOI
| Download None (ext.)
| arXiv
É. Lieb, R. Seiringer, J. Yngvason, Physical Review B - Condensed Matter and Materials Physics 66 (2002).
2001 | Published | Conference Paper | IST-REx-ID: 2340 |

Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula
R. Seiringer, in:, M. Demuth, B. Schultze (Eds.), Birkhäuser, 2001, pp. 307–314.
View
| DOI
| Download None (ext.)
| arXiv
R. Seiringer, in:, M. Demuth, B. Schultze (Eds.), Birkhäuser, 2001, pp. 307–314.
2001 | Published | Journal Article | IST-REx-ID: 2341 |

Atoms with bosonic "electrons" in strong magnetic fields
B. Baumgartner, R. Seiringer, Annales Henri Poincare 2 (2001) 41–76.
View
| DOI
| Download None (ext.)
| arXiv
B. Baumgartner, R. Seiringer, Annales Henri Poincare 2 (2001) 41–76.
2001 | Published | Journal Article | IST-REx-ID: 2345 |

On the maximal ionization of atoms in strong magnetic fields
R. Seiringer, Journal of Physics A: Mathematical and General 34 (2001) 1943–1948.
View
| DOI
| Download None (ext.)
| arXiv
R. Seiringer, Journal of Physics A: Mathematical and General 34 (2001) 1943–1948.
2001 | Published | Journal Article | IST-REx-ID: 2346 |

Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 55 (2001) 133–142.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
C. Hainzl, R. Seiringer, Letters in Mathematical Physics 55 (2001) 133–142.
2001 | Published | Journal Article | IST-REx-ID: 2347 |

A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 224 (2001) 17–31.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
É. Lieb, R. Seiringer, J. Yngvason, Communications in Mathematical Physics 224 (2001) 17–31.
2001 | Published | Journal Article | IST-REx-ID: 2348 |

A discrete density matrix theory for atoms in strong magnetic fields
C. Hainzl, R. Seiringer, Communications in Mathematical Physics 217 (2001) 229–248.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
C. Hainzl, R. Seiringer, Communications in Mathematical Physics 217 (2001) 229–248.
2000 | Published | Conference Paper | IST-REx-ID: 2325
Inequalities for Schrödinger operators and applications to the stability of matter problem
R. Seiringer, in:, American Mathematical Society, 2000, pp. 53–72.
View
| DOI
R. Seiringer, in:, American Mathematical Society, 2000, pp. 53–72.
2000 | Published | Conference Paper | IST-REx-ID: 2342 |

The ground state energy and density of interacting bosons in a trap
R. Seiringer, É. Lieb, J. Yngvason, in:, Proceedings of the International Symposium on Quantum Theory and Symmetries, World Scientific Publishing, 2000, pp. 101–110.
View
| Download None (ext.)
| arXiv
R. Seiringer, É. Lieb, J. Yngvason, in:, Proceedings of the International Symposium on Quantum Theory and Symmetries, World Scientific Publishing, 2000, pp. 101–110.
2000 | Published | Journal Article | IST-REx-ID: 2343 |

On the ordering of energy levels in homogeneous magnetic fields
B. Baumgartner, R. Seiringer, Letters in Mathematical Physics 54 (2000) 213–226.
View
| DOI
| Download (ext.)
B. Baumgartner, R. Seiringer, Letters in Mathematical Physics 54 (2000) 213–226.
2000 | Published | Journal Article | IST-REx-ID: 2344 |

Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 61 (2000) 436021–4360213.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
É. Lieb, R. Seiringer, J. Yngvason, Physical Review A - Atomic, Molecular, and Optical Physics 61 (2000) 436021–4360213.