Robert Seiringer
Seiringer Group
173 Publications
2024 | Published | Journal Article | IST-REx-ID: 17478 |

Brooks M, Seiringer R. 2024. The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass. Publications Mathematiques de l’Institut des Hautes Etudes Scientifiques. 140, 271–309.
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2024 | Published | Journal Article | IST-REx-ID: 14931 |

Lauritsen AB, Seiringer R. 2024. Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis. 286(7), 110320.
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2024 | Published | Journal Article | IST-REx-ID: 18107 |

Lauritsen AB, Seiringer R. 2024. Pressure of a dilute spin-polarized Fermi gas: Lower bound. Forum of Mathematics, Sigma. 12, e78.
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2023 | Published | Journal Article | IST-REx-ID: 13178 |

Mitrouskas DJ, Mysliwy K, Seiringer R. 2023. Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. Forum of Mathematics. 11, 1–52.
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2023 | Published | Journal Article | IST-REx-ID: 13207 |

Hainzl C, Roos B, Seiringer R. 2023. Boundary superconductivity in the BCS model. Journal of Spectral Theory. 12(4), 1507–1540.
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2023 | Published | Journal Article | IST-REx-ID: 13225 |

Benedikter NP, Porta M, Schlein B, Seiringer R. 2023. Correlation energy of a weakly interacting Fermi gas with large interaction potential. Archive for Rational Mechanics and Analysis. 247(4), 65.
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2023 | Published | Journal Article | IST-REx-ID: 14254 |

Seiringer R, Solovej JP. 2023. A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. 285(10), 110129.
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2023 | Published | Journal Article | IST-REx-ID: 14441 |

Brooks M, Seiringer R. 2023. The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy. Communications in Mathematical Physics. 404, 287–337.
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2023 | Published | Journal Article | IST-REx-ID: 17074 |

Brooks M, Seiringer R. 2023. Validity of Bogoliubov’s approximation fortranslation-invariant Bose gases. Probability and Mathematical Physics. 3(4), 939–1000.
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2023 | Published | Journal Article | IST-REx-ID: 12183 |

Boccato C, Seiringer R. 2023. The Bose Gas in a box with Neumann boundary conditions. Annales Henri Poincare. 24, 1505–1560.
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2023 | Published | Journal Article | IST-REx-ID: 14662 |

Seiringer R. 2023. Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory. 13(3), 1045–1055.
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2023 | Published | Book Chapter | IST-REx-ID: 14992 |

Lewin M, Lieb EH, Seiringer R. 2023.Universal Functionals in Density Functional Theory. In: Density Functional Theory. Mathematics and Molecular Modeling, , 115–182.
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2022 | Published | Journal Article | IST-REx-ID: 10537 |

Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2022. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. 23(5), 1725–1764.
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2022 | Published | Journal Article | IST-REx-ID: 10564 |

Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 186(1), 5.
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2022 | Published | Journal Article | IST-REx-ID: 10755 |

Feliciangeli D, Rademacher SAE, Seiringer R. 2022. The effective mass problem for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical. 55(1), 015201.
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2022 | Published | Journal Article | IST-REx-ID: 10850 |

Roos B, Seiringer R. 2022. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 282(12), 109455.
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2022 | Published | Journal Article | IST-REx-ID: 11917 |

Rademacher SAE, Seiringer R. 2022. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 188, 9.
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2022 | Published | Journal Article | IST-REx-ID: 12246 |

Lewin M, Lieb EH, Seiringer R. 2022. Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. 112(5), 92.
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2021 | Published | Journal Article | IST-REx-ID: 9225 |

Feliciangeli D, Rademacher SAE, Seiringer R. 2021. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 111, 19.
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2021 | Published | Journal Article | IST-REx-ID: 10738 |

Leopold NK, Rademacher SAE, Schlein B, Seiringer R. 2021. The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. 14(7), 2079–2100.
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2021 | Published | Journal Article | IST-REx-ID: 9462 |

Deuchert A, Seiringer R. 2021. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 281(6), 109096.
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2021 | Published | Journal Article | IST-REx-ID: 8603 |

Frank R, Seiringer R. 2021. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 74(3), 544–588.
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2021 | Published | Journal Article | IST-REx-ID: 9246 |

Leopold NK, Mitrouskas DJ, Seiringer R. 2021. Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. 240, 383–417.
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2021 | Published | Journal Article | IST-REx-ID: 9256 |

Napiórkowski MM, Seiringer R. 2021. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 111(2), 31.
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2021 | Published | Journal Article | IST-REx-ID: 9318 |

Bossmann L, Petrat SP, Seiringer R. 2021. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 9, e28.
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2021 | Published | Journal Article | IST-REx-ID: 10224 |

Feliciangeli D, Seiringer R. 2021. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. 242(3), 1835–1906.
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2021 | Draft | Preprint | IST-REx-ID: 9787 |

Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv, 2101.12566.
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2021 | Draft | Preprint | IST-REx-ID: 9791 |

Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv, 2107.03720.
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2021 | Published | Journal Article | IST-REx-ID: 10852 |

Seiringer R. 2021. The polaron at strong coupling. Reviews in Mathematical Physics. 33(01), 2060012.
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2021 | Published | Journal Article | IST-REx-ID: 14889 |

Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. 2021. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. 3(4), 653–676.
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2021 | Published | Journal Article | IST-REx-ID: 7901 |

Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 225, 885–979.
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2020 | Published | Journal Article | IST-REx-ID: 9781 |

Feliciangeli D, Seiringer R. 2020. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 52(1), 605–622.
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2020 | Published | Journal Article | IST-REx-ID: 8705 |

Mysliwy K, Seiringer R. 2020. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. 21(12), 4003–4025.
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2020 | Published | Journal Article | IST-REx-ID: 8769 |

Yakaboylu E, Ghazaryan A, Lundholm D, Rougerie N, Lemeshko M, Seiringer R. 2020. Quantum impurity model for anyons. Physical Review B. 102(14), 144109.
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2020 | Published | Journal Article | IST-REx-ID: 7790 |

Deuchert A, Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 8, e20.
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2020 | Published | Journal Article | IST-REx-ID: 14891 |

Lewin M, Lieb EH, Seiringer R. 2020. The local density approximation in density functional theory. Pure and Applied Analysis. 2(1), 35–73.
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2020 | Published | Journal Article | IST-REx-ID: 7650 |

Deuchert A, Seiringer R. 2020. Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis. 236(6), 1217–1271.
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2020 | Published | Journal Article | IST-REx-ID: 8091 |

Seiringer R, Yngvason J. 2020. Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. 181, 448–464.
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2020 | Published | Journal Article | IST-REx-ID: 8134 |

Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics. 61(6), 061901.
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2020 | Published | Journal Article | IST-REx-ID: 6649 |

Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2020. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 374, 2097–2150.
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2020 | Published | Journal Article | IST-REx-ID: 7235 |

Lieb EH, Seiringer R. 2020. Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. 180, 23–33.
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2019 | Published | Journal Article | IST-REx-ID: 5856 |

Moser T, Seiringer R. 2019. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 20(4), 1325–1365.
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2019 | Draft | Preprint | IST-REx-ID: 7524 |

Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv, 61.
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2019 | Published | Journal Article | IST-REx-ID: 80 |

Deuchert A, Seiringer R, Yngvason J. 2019. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. 368(2), 723–776.
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2019 | Published | Journal Article | IST-REx-ID: 7015 |

Lewin M, Lieb EH, Seiringer R. 2019. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 100(3), 035127.
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2019 | Published | Journal Article | IST-REx-ID: 7226 |

Jaksic V, Seiringer R. 2019. Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. 60(12), 123504.
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2018 | Published | Journal Article | IST-REx-ID: 154 |

Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 21(3), 19.
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2018 | Published | Journal Article | IST-REx-ID: 180 |

Lewi M, Lieb É, Seiringer R. 2018. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 5, 79–116.
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2018 | Published | Journal Article | IST-REx-ID: 295 |

Lundholm D, Seiringer R. 2018. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 108(11), 2523–2541.
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2017 | Published | Journal Article | IST-REx-ID: 741 |

Moser T, Seiringer R. 2017. Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. 356(1), 329–355.
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2017 | Published | Journal Article | IST-REx-ID: 1198 |

Moser T, Seiringer R. 2017. Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. 107(3), 533–552.
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2017 | Published | Journal Article | IST-REx-ID: 1120 |

Li X, Seiringer R, Lemeshko M. 2017. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 95(3), 033608.
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2016 | Published | Conference Paper | IST-REx-ID: 1428 |

Könenberg M, Moser T, Seiringer R, Yngvason J. 2016. Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. Journal of Physics: Conference Series. 24th International Laser Physics Workshop (LPHYS’15) vol. 691, 012016.
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2016 | Published | Journal Article | IST-REx-ID: 1478 |

Seiringer R, Warzel S. 2016. Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics. 18(3), 035002.
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2016 | Published | Journal Article | IST-REx-ID: 1422 |

Frank R, Hainzl C, Schlein B, Seiringer R. 2016. Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. 106(7), 913–923.
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2016 | Published | Journal Article | IST-REx-ID: 1143 |

Nam P, Rougerie N, Seiringer R. 2016. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. 9(2), 459–485.
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2016 | Published | Journal Article | IST-REx-ID: 1259 |

Bräunlich G, Hainzl C, Seiringer R. 2016. Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry. 19(2), 13.
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2016 | Published | Journal Article | IST-REx-ID: 1291 |

Giuliani A, Seiringer R. 2016. Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. 347(3), 983–1007.
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2016 | Published | Journal Article | IST-REx-ID: 1486 |

Hainzl C, Seiringer R. 2016. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. 57(2), 021101.
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2016 | Published | Journal Article | IST-REx-ID: 1620 |

Frank R, Hainzl C, Seiringer R, Solovej J. 2016. The external field dependence of the BCS critical temperature. Communications in Mathematical Physics. 342(1), 189–216.
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2015 | Published | Journal Article | IST-REx-ID: 1880 |

Könenberg M, Moser T, Seiringer R, Yngvason J. 2015. Superfluid behavior of a Bose-Einstein condensate in a random potential. New Journal of Physics. 17, 013022.
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2015 | Published | Journal Article | IST-REx-ID: 1704 |

Deuchert A, Hainzl C, Seiringer R. 2015. Note on a family of monotone quantum relative entropies. Letters in Mathematical Physics. 105(10), 1449–1466.
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2015 | Published | Journal Article | IST-REx-ID: 1572 |

Correggi M, Giuliani A, Seiringer R. 2015. Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. Communications in Mathematical Physics. 339(1), 279–307.
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2015 | Published | Journal Article | IST-REx-ID: 1573 |

Chen T, Hainzl C, Pavlović N, Seiringer R. 2015. Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications on Pure and Applied Mathematics. 68(10), 1845–1884.
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2015 | Published | Journal Article | IST-REx-ID: 2085 |

Nam P, Seiringer R. 2015. Collective excitations of Bose gases in the mean-field regime. Archive for Rational Mechanics and Analysis. 215(2), 381–417.
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2014 | Published | Journal Article | IST-REx-ID: 2029 |

Correggi M, Giuliani A, Seiringer R. 2014. Validity of spin-wave theory for the quantum Heisenberg model. EPL. 108(2), 20003.
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2014 | Published | Journal Article | IST-REx-ID: 2281 |

Guo Y, Seiringer R. 2014. On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics. 104(2), 141–156.
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2014 | Published | Journal Article | IST-REx-ID: 2407 |

Lieb É, Seiringer R. 2014. Equivalence of two definitions of the effective mass of a polaron. Journal of Statistical Physics. 154(1–2), 51–57.
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2014 | Published | Conference Paper | IST-REx-ID: 1516 |

Bräunlich G, Hainzl C, Seiringer R. 2014. On the BCS gap equation for superfluid fermionic gases. Proceedings of the QMath12 Conference. QMath: Mathematical Results in Quantum Physics, 127–137.
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2014 | Published | Conference Paper | IST-REx-ID: 8044 |

Seiringer R. 2014. Structure of the excitation spectrum for many-body quantum systems. Proceeding of the International Congress of Mathematicans. ICM: International Congress of Mathematicans vol. 3, 1175–1194.
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2014 | Published | Journal Article | IST-REx-ID: 1821 |

Seiringer R. 2014. Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. Journal of Mathematical Physics. 55(7), 1.4881536.
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2014 | Published | Journal Article | IST-REx-ID: 1889 |

Bräunlich G, Hainzl C, Seiringer R. 2014. Translation-invariant quasi-free states for fermionic systems and the BCS approximation. Reviews in Mathematical Physics. 26(7), 1450012.
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2014 | Published | Journal Article | IST-REx-ID: 1904 |

Frank R, Lewin M, Lieb É, Seiringer R. 2014. Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society. 16(7), 1507–1526.
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2014 | Published | Journal Article | IST-REx-ID: 1918 |

Bellazzini J, Frank R, Lieb É, Seiringer R. 2014. Existence of ground states for negative ions at the binding threshold. Reviews in Mathematical Physics. 26(1), 1350021.
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2014 | Published | Journal Article | IST-REx-ID: 1935 |

Giuliani A, Lieb É, Seiringer R. 2014. Formation of stripes and slabs near the ferromagnetic transition. Communications in Mathematical Physics. 331, 333–350.
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2014 | Published | Journal Article | IST-REx-ID: 2186 |

Chen T, Hainzl C, Pavlović N, Seiringer R. 2014. On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters in Mathematical Physics. 104(7), 871–891.
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2013 | Published | Journal Article | IST-REx-ID: 2297 |

Seiringer R. 2013. Hot topics in cold gases: A mathematical physics perspective. Japanese Journal of Mathematics. 8(2), 185–232.
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2013 | Published | Journal Article | IST-REx-ID: 2300 |

Giuliani A, Lieb É, Seiringer R. 2013. Realization of stripes and slabs in two and three dimensions. Physical Review B. 88(6), 064401.
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2013 | Published | Conference Paper | IST-REx-ID: 2315 |

Seiringer R, Yngvason J, Zagrebnov V. 2013. Disordered Bose-Einstein condensates with interaction. ICMP: International Congress on Mathematical Physics, 610–619.
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2013 | Published | Conference Paper | IST-REx-ID: 2319 |

Frank R, Hainzl C, Seiringer R, Solovej J. 2013. Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction. OTAMP: Operator Theory, Analysis and Mathematical Physics, 57–88.
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2013 | Published | Journal Article | IST-REx-ID: 2404 |

Frank R, Lewin M, Lieb É, Seiringer R. 2013. A positive density analogue of the Lieb-Thirring inequality. Duke Mathematical Journal. 162(3), 435–495.
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2013 | Published | Journal Article | IST-REx-ID: 2405 |

Frank R, Lieb É, Seiringer R. 2013. Symmetry of bipolaron bound states for small Coulomb repulsion. Communications in Mathematical Physics. 319(2), 557–573.
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2013 | Published | Journal Article | IST-REx-ID: 2408 |

Grech P, Seiringer R. 2013. The excitation spectrum for weakly interacting Bosons in a trap. Communications in Mathematical Physics. 322(2), 559–591.
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2012 | Published | Conference Paper | IST-REx-ID: 2316 |

Frank R, Lieb É, Seiringer R, Thomas L. 2012. Ground state properties of multi-polaron systems. ICMP: International Congress on Mathematical Physics, 477–485.
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2012 | Published | Conference Paper | IST-REx-ID: 2317 |

Frank R, Hainzl C, Seiringer R, Solovej J. 2012. Microscopic derivation of the Ginzburg-Landau model. ICMP: International Congress on Mathematical Physics, 575–583.
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2012 | Published | Journal Article | IST-REx-ID: 2318 |

Seiringer R. 2012. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2(3), 321–328.
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2012 | Published | Journal Article | IST-REx-ID: 2395 |

Frank R, Hainzl C, Seiringer R, Solovej J. 2012. Microscopic derivation of Ginzburg-Landau theory. Journal of the American Mathematical Society. 25(3), 667–713.
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2012 | Published | Journal Article | IST-REx-ID: 2396 |

Landon B, Seiringer R. 2012. The scattering length at positive temperature. Letters in Mathematical Physics. 100(3), 237–243.
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2012 | Published | Journal Article | IST-REx-ID: 2397 |

Hainzl C, Seiringer R. 2012. Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics. 100(2), 119–138.
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2012 | Published | Book Review | IST-REx-ID: 2398 |

Jakšić V, Ogata Y, Pillet C, Seiringer R. 2012. Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 24(6).
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2012 | Published | Journal Article | IST-REx-ID: 2400 |

Frank R, Lieb É, Seiringer R. 2012. Binding of polarons and atoms at threshold. Communications in Mathematical Physics. 313(2), 405–424.
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2012 | Published | Journal Article | IST-REx-ID: 2401 |

Lieb É, Seiringer R. 2012. Further implications of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 149(1), 86–91.
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2012 | Published | Journal Article | IST-REx-ID: 2402 |

Frank R, Seiringer R. 2012. Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. 53(9).
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2012 | Published | Journal Article | IST-REx-ID: 2403 |

Seiringer R, Yngvason J, Zagrebnov V. 2012. Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment. 2012(11).
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2011 | Published | Conference Paper | IST-REx-ID: 2320 |

Frank R, Lieb É, Seiringer R, Thomas L. 2011. Binding, stability, and non-binding of multi-polaron systems. QMath: Mathematical Results in Quantum Physics, 21–32.
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2011 | Published | Conference Paper | IST-REx-ID: 2321 |

Frank R, Laptev A, Seiringer R. 2011. A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials. OTAMP: Operator Theory, Analysis and Mathematical Physics, Operator Theory: Advances and Applications, vol. 214, 39–44.
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2011 | Published | Journal Article | IST-REx-ID: 2390 |

Frank R, Lieb É, Seiringer R, Thomas L. 2011. Stability and absence of binding for multi-polaron systems. Publications Mathematiques de l Institut des Hautes Etudes Scientifiques. 113(1), 39–67.
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2011 | Published | Journal Article | IST-REx-ID: 2391 |

Frank R, Lewin M, Lieb É, Seiringer R. 2011. Energy cost to make a hole in the fermi sea. Physical Review Letters. 106(15).
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2011 | Published | Journal Article | IST-REx-ID: 2393 |

Seiringer R. 2011. The excitation spectrum for weakly interacting Bosons. Communications in Mathematical Physics. 306(2), 565–578.
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2010 | Published | Conference Paper | IST-REx-ID: 2322 |

Frank R, Lieb É, Seiringer R. 2010. Equivalence of Sobolev inequalities and Lieb-Thirring inequalities. ICMP: International Congress on Mathematical Physics, 523–535.
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2010 | Published | Conference Paper | IST-REx-ID: 2323 |

Seiringer R. 2010. Hot topics on cold gases. ICMP: International Congress on Mathematical Physics, 231–245.
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2010 | Published | Book Chapter | IST-REx-ID: 2324 |

Frank R, Seiringer R. 2010.Sharp fractional Hardy inequalities in half-spaces. In: Around the Research of Vladimir Maz’ya I. International Mathematical Series, vol. 11, 161–167.
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2010 | Published | Journal Article | IST-REx-ID: 2389 |

Hainzl C, Seiringer R. 2010. Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy. Mathematische Nachrichten. 283(3), 489–499.
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2010 | Published | Journal Article | IST-REx-ID: 2392 |

Frank R, Lieb É, Seiringer R, Thomas L. 2010. Bipolaron and N-polaron binding energies. Physical Review Letters. 104(21).
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2009 | Published | Book | IST-REx-ID: 2326
Lieb É, Seiringer R. 2009. The Stability of Matter in Quantum Mechanics, Cambridge University Press, 310p.
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2009 | Published | Conference Paper | IST-REx-ID: 2330
Hainzl C, Seiringer R. 2009. A linear criterion for solutions of non-linear equations, with application to the BCS gap equation. Spectral and Scattering Theory for Quantum Magnetic Systems, Contemporary Mathematics, vol. 500, 101–104.
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2009 | Published | Journal Article | IST-REx-ID: 2384 |

Giuliani A, Seiringer R. 2009. The ground state energy of the weakly interacting Bose gas at high density. Journal of Statistical Physics. 135(5–6), 915–934.
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2009 | Published | Journal Article | IST-REx-ID: 2385 |

Lieb É, Seiringer R, Yngvason J. 2009. Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime. Physical Review A - Atomic, Molecular, and Optical Physics. 79(6).
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2009 | Published | Journal Article | IST-REx-ID: 2386 |

Seiringer R, Ueltschi D. 2009. Rigorous upper bound on the critical temperature of dilute Bose gases. Physical Review B - Condensed Matter and Materials Physics. 80(1).
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2009 | Published | Journal Article | IST-REx-ID: 2387 |

Lewin M, Seiringer R. 2009. Strongly correlated phases in rapidly rotating Bose gases. Journal of Statistical Physics. 137(5), 1040–1062.
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2009 | Published | Journal Article | IST-REx-ID: 2388 |

Predd J, Seiringer R, Lieb É, Osherson D, Poor H, Kulkarni S. 2009. Probabilistic coherence and proper scoring rules. IEEE Transactions on Information Theory. 55(10), 4786–4792.
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2008 | Published | Conference Paper | IST-REx-ID: 2331 |

Hainzl C, Seiringer R. 2008. Spectral properties of the BCS gap equation of superfluidity. QMath: Mathematical Results in Quantum Physics, 117–136.
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2008 | Published | Conference Paper | IST-REx-ID: 2332 |

Seiringer R. 2008. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. QMath: Mathematical Results in Quantum Physics, 241–254.
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2008 | Published | Journal Article | IST-REx-ID: 2374 |

Seiringer R. 2008. Free energy of a dilute Bose gas: Lower bound. Communications in Mathematical Physics. 279(3), 595–636.
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2008 | Published | Journal Article | IST-REx-ID: 2376 |

Hainzl C, Seiringer R. 2008. Critical temperature and energy gap for the BCS equation. Physical Review B - Condensed Matter and Materials Physics. 77(18).
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2008 | Published | Journal Article | IST-REx-ID: 2377 |

Hainzl C, Seiringer R. 2008. The BCS critical temperature for potentials with negative scattering length. Letters in Mathematical Physics. 84(2–3), 99–107.
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2008 | Published | Journal Article | IST-REx-ID: 2378 |

Seiringer R, Yin J. 2008. Ground state energy of the low density hubbard model. Journal of Statistical Physics. 131(6), 1139–1154.
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2008 | Published | Journal Article | IST-REx-ID: 2379 |

Frank R, Lieb É, Seiringer R. 2008. Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Journal of the American Mathematical Society. 21(4), 925–950.
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2008 | Published | Journal Article | IST-REx-ID: 2380 |

Hainzl C, Hamza E, Seiringer R, Solovej J. 2008. The BCS functional for general pair interactions. Communications in Mathematical Physics. 281(2), 349–367.
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2008 | Published | Journal Article | IST-REx-ID: 2381 |

Frank R, Seiringer R. 2008. Non-linear ground state representations and sharp Hardy inequalities. Journal of Functional Analysis. 255(12), 3407–3430.
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2008 | Published | Journal Article | IST-REx-ID: 2382 |

Seiringer R, Yin J. 2008. The Lieb-Liniger model as a limit of dilute bosons in three dimensions. Communications in Mathematical Physics. 284(2), 459–479.
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2008 | Published | Journal Article | IST-REx-ID: 2383 |

Hainzl C, Lewin M, Seiringer R. 2008. A nonlinear model for relativistic electrons at positive temperature. Reviews in Mathematical Physics. 20(10), 1283–1307.
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2007 | Published | Journal Article | IST-REx-ID: 2367 |

Seiringer R. 2007. On the failure of subadditivity of the Wigner-Yanase entropy. Letters in Mathematical Physics. 80(3), 285–288.
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2007 | Published | Journal Article | IST-REx-ID: 2370 |

Lieb É, Seiringer R, Yngvason J. 2007. Bose-Einstein condensation and spontaneous symmetry breaking. Reports on Mathematical Physics. 59(3), 389–399.
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2007 | Published | Journal Article | IST-REx-ID: 2371 |

Frank R, Lieb É, Seiringer R. 2007. Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value. Communications in Mathematical Physics. 275(2), 479–489.
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2007 | Published | Journal Article | IST-REx-ID: 2372 |

Frank R, Lieb É, Seiringer R, Siedentop H. 2007. Müller’s exchange-correlation energy in density-matrix-functional theory. Physical Review A - Atomic, Molecular, and Optical Physics. 76(5).
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2007 | Published | Journal Article | IST-REx-ID: 2373 |

Frank R, Hainzl C, Naboko S, Seiringer R. 2007. The critical temperature for the BCS equation at weak coupling. Journal of Geometric Analysis. 17(4), 559–567.
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2007 | Published | Journal Article | IST-REx-ID: 2375 |

Frank R, Lieb É, Seiringer R. 2007. Number of bound states of Schrödinger operators with matrix-valued potentials. Letters in Mathematical Physics. 82(2–3), 107–116.
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2006 | Published | Conference Paper | IST-REx-ID: 2333 |

Lieb É, Seiringer R, Solovej J. 2006. Ground-state energy of a dilute Fermi gas. Differential Equations and Mathematical Physics, Contemporary Mathematics, vol. 412, 239–248.
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2006 | Published | Conference Paper | IST-REx-ID: 2334 |

Seiringer R, Lieb É, Yngvason J. 2006. One-dimensional behavior of dilute, trapped Bose gases in traps. ICMP: International Congress on Mathematical Physics.
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2006 | Published | Book Review | IST-REx-ID: 2363 |

Lieb É, Seiringer R. 2006. Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Communications in Mathematical Physics. 264(2), 505–537.
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2006 | Published | Journal Article | IST-REx-ID: 2364 |

Seiringer R. 2006. A correlation estimate for quantum many-body systems at positive temperature. Reviews in Mathematical Physics. 18(3), 233–253.
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2006 | Published | Journal Article | IST-REx-ID: 2365 |

Seiringer R. 2006. The thermodynamic pressure of a dilute Fermi gas. Communications in Mathematical Physics. 261(3), 729–757.
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2006 | Published | Journal Article | IST-REx-ID: 2366 |

Frank R, Laptev A, Lieb É, Seiringer R. 2006. Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Letters in Mathematical Physics. 77(3), 309–316.
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2006 | Published | Book Chapter | IST-REx-ID: 2369 |

Aizenman M, Lieb É, Seiringer R, Solovej J, Yngvason J. 2006.Bose-Einstein condensation as a quantum phase transition in an optical lattice. In: Mathematical Physics of Quantum Mechanics. LNP, vol. 690, 199–215.
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2005 | Published | Book | IST-REx-ID: 2335 |

Lieb É, Seiringer R, Solovej J, Yngvason J. 2005. The Mathematics of the Bose gas and its Condensation, Basel ; Berlin: Birkhäuser Verlag, VIII, 203p.
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2005 | Published | Book Chapter | IST-REx-ID: 2336 |

Lieb É, Seiringer R, Solovej J, Yngvason J. 2005.The quantum-mechanical many-body problem: The Bose gas. In: Perspectives in Analysis. Mathematical Physics Studies, vol. 27, 97–183.
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2005 | Published | Journal Article | IST-REx-ID: 2359 |

Lieb É, Seiringer R, Yngvason J. 2005. Justification of c-number substitutions in bosonic hamiltonians. Physical Review Letters. 94(8).
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2005 | Published | Journal Article | IST-REx-ID: 2361 |

Lieb É, Seiringer R. 2005. Stronger subadditivity of entropy. Physical Review A - Atomic, Molecular, and Optical Physics. 71(6).
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2005 | Published | Journal Article | IST-REx-ID: 2362 |

Lieb É, Seiringer R, Solovej J. 2005. Ground state energy of the low density Fermi gas. Physical Review A - Atomic, Molecular, and Optical Physics. 71(5).
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2004 | Published | Journal Article | IST-REx-ID: 2355 |

Lieb É, Seiringer R. 2004. Equivalent forms of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 115(1–2), 185–190.
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2004 | Published | Journal Article | IST-REx-ID: 2356 |

Lieb É, Seiringer R, Yngvason J. 2004. One-dimensional behavior of dilute, trapped Bose gases. Communications in Mathematical Physics. 244(2), 347–393.
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2004 | Published | Journal Article | IST-REx-ID: 2360 |

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

Lieb É, Seiringer R. 2003. Bose-Einstein condensation of dilute gases in traps . Differential Equations and Mathematical Physics, Contemporary Mathematics, vol. 327, 239–250.
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2003 | Published | Journal Article | IST-REx-ID: 2354 |

Seiringer R. 2003. Ground state asymptotics of a dilute, rotating gas. Journal of Physics A: Mathematical and Theoretical. 36(37), 9755–9778.
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2003 | Published | Journal Article | IST-REx-ID: 2357 |

Lieb É, Seiringer R, Yngvason J. 2003. Poincaré inequalities in punctured domains. Annals of Mathematics. 158(3), 1067–1080.
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2003 | Published | Journal Article | IST-REx-ID: 2358 |

Lieb É, Seiringer R, Yngvason J. 2003. One-dimensional Bosons in three-dimensional traps. Physical Review Letters. 91(15), 1504011–1504014.
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2002 | Published | Book Chapter | IST-REx-ID: 2338 |

Lieb É, Solovej J, Seiringer R, Yngvason J. 2002.The ground state of the Bose gas. In: Current Developments in Mathematics, 2001. Current Developments in Mathematics, , 131–178.
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2002 | Published | Journal Article | IST-REx-ID: 2349 |

Lieb É, Seiringer R. 2002. Proof of Bose-Einstein condensation for dilute trapped gases. Physical Review Letters. 88(17), 1704091–1704094.
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2002 | Published | Journal Article | IST-REx-ID: 2350 |

Hainzl C, Seiringer R. 2002. Mass renormalization and energy level shift in non-relativistic QED. Advances in Theoretical and Mathematical Physics. 6(5), 847–871.
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2002 | Published | Journal Article | IST-REx-ID: 2351 |

Seiringer R. 2002. Gross-Pitaevskii theory of the rotating Bose gas. Communications in Mathematical Physics. 229(3), 491–509.
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2002 | Published | Journal Article | IST-REx-ID: 2352 |

Hainzl C, Seiringer R. 2002. General decomposition of radial functions on ℝn and applications to N-body quantum systems. Letters in Mathematical Physics. 61(1), 75–84.
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2002 | Published | Journal Article | IST-REx-ID: 2353 |

Lieb É, Seiringer R, Yngvason J. 2002. Superfluidity in dilute trapped Bose gases. Physical Review B - Condensed Matter and Materials Physics. 66(13).
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2001 | Published | Conference Paper | IST-REx-ID: 2340 |

Seiringer R. 2001. Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula. PDE: Partial Differential Equations and Spectral Theory, Operator Theory: Advances and Applications, vol. 126, 307–314.
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2001 | Published | Journal Article | IST-REx-ID: 2341 |

Baumgartner B, Seiringer R. 2001. Atoms with bosonic "electrons" in strong magnetic fields. Annales Henri Poincare. 2(1), 41–76.
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2001 | Published | Journal Article | IST-REx-ID: 2345 |

Seiringer R. 2001. On the maximal ionization of atoms in strong magnetic fields. Journal of Physics A: Mathematical and General. 34(9), 1943–1948.
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2001 | Published | Journal Article | IST-REx-ID: 2346 |

Hainzl C, Seiringer R. 2001. Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics. Letters in Mathematical Physics. 55(2), 133–142.
[Published Version]
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2001 | Published | Journal Article | IST-REx-ID: 2347 |

Lieb É, Seiringer R, Yngvason J. 2001. A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas. Communications in Mathematical Physics. 224(1), 17–31.
[Published Version]
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2001 | Published | Journal Article | IST-REx-ID: 2348 |

Hainzl C, Seiringer R. 2001. A discrete density matrix theory for atoms in strong magnetic fields. Communications in Mathematical Physics. 217(1), 229–248.
[Preprint]
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2000 | Published | Conference Paper | IST-REx-ID: 2342 |

Seiringer R, Lieb É, Yngvason J. 2000. The ground state energy and density of interacting bosons in a trap. Proceedings of the International Symposium on Quantum Theory and Symmetries. ISQTS: Quantum Theory and Symmetries, 101–110.
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2000 | Published | Journal Article | IST-REx-ID: 2343 |

Baumgartner B, Seiringer R. 2000. On the ordering of energy levels in homogeneous magnetic fields. Letters in Mathematical Physics. 54(3), 213–226.
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2000 | Published | Journal Article | IST-REx-ID: 2344 |

Lieb É, Seiringer R, Yngvason J. 2000. Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional. Physical Review A - Atomic, Molecular, and Optical Physics. 61(4), 436021–4360213.
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173 Publications
2024 | Published | Journal Article | IST-REx-ID: 17478 |

Brooks M, Seiringer R. 2024. The Fröhlich polaron at strong coupling: Part II — Energy-momentum relation and effective mass. Publications Mathematiques de l’Institut des Hautes Etudes Scientifiques. 140, 271–309.
[Published Version]
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2024 | Published | Journal Article | IST-REx-ID: 14931 |

Lauritsen AB, Seiringer R. 2024. Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis. 286(7), 110320.
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2024 | Published | Journal Article | IST-REx-ID: 18107 |

Lauritsen AB, Seiringer R. 2024. Pressure of a dilute spin-polarized Fermi gas: Lower bound. Forum of Mathematics, Sigma. 12, e78.
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2023 | Published | Journal Article | IST-REx-ID: 13178 |

Mitrouskas DJ, Mysliwy K, Seiringer R. 2023. Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. Forum of Mathematics. 11, 1–52.
[Published Version]
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2023 | Published | Journal Article | IST-REx-ID: 13207 |

Hainzl C, Roos B, Seiringer R. 2023. Boundary superconductivity in the BCS model. Journal of Spectral Theory. 12(4), 1507–1540.
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2023 | Published | Journal Article | IST-REx-ID: 13225 |

Benedikter NP, Porta M, Schlein B, Seiringer R. 2023. Correlation energy of a weakly interacting Fermi gas with large interaction potential. Archive for Rational Mechanics and Analysis. 247(4), 65.
[Published Version]
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2023 | Published | Journal Article | IST-REx-ID: 14254 |

Seiringer R, Solovej JP. 2023. A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. 285(10), 110129.
[Published Version]
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2023 | Published | Journal Article | IST-REx-ID: 14441 |

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

Brooks M, Seiringer R. 2023. Validity of Bogoliubov’s approximation fortranslation-invariant Bose gases. Probability and Mathematical Physics. 3(4), 939–1000.
[Preprint]
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2023 | Published | Journal Article | IST-REx-ID: 12183 |

Boccato C, Seiringer R. 2023. The Bose Gas in a box with Neumann boundary conditions. Annales Henri Poincare. 24, 1505–1560.
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2023 | Published | Journal Article | IST-REx-ID: 14662 |

Seiringer R. 2023. Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory. 13(3), 1045–1055.
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2023 | Published | Book Chapter | IST-REx-ID: 14992 |

Lewin M, Lieb EH, Seiringer R. 2023.Universal Functionals in Density Functional Theory. In: Density Functional Theory. Mathematics and Molecular Modeling, , 115–182.
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2022 | Published | Journal Article | IST-REx-ID: 10537 |

Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2022. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. 23(5), 1725–1764.
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2022 | Published | Journal Article | IST-REx-ID: 10564 |

Mysliwy K, Seiringer R. 2022. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 186(1), 5.
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2022 | Published | Journal Article | IST-REx-ID: 10755 |

Feliciangeli D, Rademacher SAE, Seiringer R. 2022. The effective mass problem for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical. 55(1), 015201.
[Published Version]
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2022 | Published | Journal Article | IST-REx-ID: 10850 |

Roos B, Seiringer R. 2022. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 282(12), 109455.
[Published Version]
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| arXiv
2022 | Published | Journal Article | IST-REx-ID: 11917 |

Rademacher SAE, Seiringer R. 2022. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 188, 9.
[Published Version]
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2022 | Published | Journal Article | IST-REx-ID: 12246 |

Lewin M, Lieb EH, Seiringer R. 2022. Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. 112(5), 92.
[Preprint]
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| arXiv
2021 | Published | Journal Article | IST-REx-ID: 9225 |

Feliciangeli D, Rademacher SAE, Seiringer R. 2021. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 111, 19.
[Published Version]
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2021 | Published | Journal Article | IST-REx-ID: 10738 |

Leopold NK, Rademacher SAE, Schlein B, Seiringer R. 2021. The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. 14(7), 2079–2100.
[Preprint]
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| arXiv
2021 | Published | Journal Article | IST-REx-ID: 9462 |

Deuchert A, Seiringer R. 2021. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 281(6), 109096.
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2021 | Published | Journal Article | IST-REx-ID: 8603 |

Frank R, Seiringer R. 2021. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 74(3), 544–588.
[Published Version]
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2021 | Published | Journal Article | IST-REx-ID: 9246 |

Leopold NK, Mitrouskas DJ, Seiringer R. 2021. Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. 240, 383–417.
[Published Version]
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2021 | Published | Journal Article | IST-REx-ID: 9256 |

Napiórkowski MM, Seiringer R. 2021. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 111(2), 31.
[Published Version]
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2021 | Published | Journal Article | IST-REx-ID: 9318 |

Bossmann L, Petrat SP, Seiringer R. 2021. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 9, e28.
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2021 | Published | Journal Article | IST-REx-ID: 10224 |

Feliciangeli D, Seiringer R. 2021. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. 242(3), 1835–1906.
[Published Version]
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| arXiv
2021 | Draft | Preprint | IST-REx-ID: 9787 |

Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv, 2101.12566.
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2021 | Draft | Preprint | IST-REx-ID: 9791 |

Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv, 2107.03720.
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2021 | Published | Journal Article | IST-REx-ID: 10852 |

Seiringer R. 2021. The polaron at strong coupling. Reviews in Mathematical Physics. 33(01), 2060012.
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2021 | Published | Journal Article | IST-REx-ID: 14889 |

Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. 2021. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. 3(4), 653–676.
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2021 | Published | Journal Article | IST-REx-ID: 7901 |

Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2021. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 225, 885–979.
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2020 | Published | Journal Article | IST-REx-ID: 9781 |

Feliciangeli D, Seiringer R. 2020. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 52(1), 605–622.
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2020 | Published | Journal Article | IST-REx-ID: 8705 |

Mysliwy K, Seiringer R. 2020. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. 21(12), 4003–4025.
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2020 | Published | Journal Article | IST-REx-ID: 8769 |

Yakaboylu E, Ghazaryan A, Lundholm D, Rougerie N, Lemeshko M, Seiringer R. 2020. Quantum impurity model for anyons. Physical Review B. 102(14), 144109.
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2020 | Published | Journal Article | IST-REx-ID: 7790 |

Deuchert A, Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 8, e20.
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2020 | Published | Journal Article | IST-REx-ID: 14891 |

Lewin M, Lieb EH, Seiringer R. 2020. The local density approximation in density functional theory. Pure and Applied Analysis. 2(1), 35–73.
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2020 | Published | Journal Article | IST-REx-ID: 7650 |

Deuchert A, Seiringer R. 2020. Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis. 236(6), 1217–1271.
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2020 | Published | Journal Article | IST-REx-ID: 8091 |

Seiringer R, Yngvason J. 2020. Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. 181, 448–464.
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2020 | Published | Journal Article | IST-REx-ID: 8134 |

Mayer S, Seiringer R. 2020. The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics. 61(6), 061901.
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2020 | Published | Journal Article | IST-REx-ID: 6649 |

Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2020. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 374, 2097–2150.
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2020 | Published | Journal Article | IST-REx-ID: 7235 |

Lieb EH, Seiringer R. 2020. Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. 180, 23–33.
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2019 | Published | Journal Article | IST-REx-ID: 5856 |

Moser T, Seiringer R. 2019. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 20(4), 1325–1365.
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| arXiv
2019 | Draft | Preprint | IST-REx-ID: 7524 |

Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv, 61.
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2019 | Published | Journal Article | IST-REx-ID: 80 |

Deuchert A, Seiringer R, Yngvason J. 2019. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. 368(2), 723–776.
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2019 | Published | Journal Article | IST-REx-ID: 7015 |

Lewin M, Lieb EH, Seiringer R. 2019. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 100(3), 035127.
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2019 | Published | Journal Article | IST-REx-ID: 7226 |

Jaksic V, Seiringer R. 2019. Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. 60(12), 123504.
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2018 | Published | Journal Article | IST-REx-ID: 154 |

Moser T, Seiringer R. 2018. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 21(3), 19.
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2018 | Published | Journal Article | IST-REx-ID: 180 |

Lewi M, Lieb É, Seiringer R. 2018. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 5, 79–116.
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2018 | Published | Journal Article | IST-REx-ID: 295 |

Lundholm D, Seiringer R. 2018. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 108(11), 2523–2541.
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2017 | Published | Journal Article | IST-REx-ID: 741 |

Moser T, Seiringer R. 2017. Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. 356(1), 329–355.
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2017 | Published | Journal Article | IST-REx-ID: 1198 |

Moser T, Seiringer R. 2017. Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. 107(3), 533–552.
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2017 | Published | Journal Article | IST-REx-ID: 1120 |

Li X, Seiringer R, Lemeshko M. 2017. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 95(3), 033608.
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2016 | Published | Conference Paper | IST-REx-ID: 1428 |

Könenberg M, Moser T, Seiringer R, Yngvason J. 2016. Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. Journal of Physics: Conference Series. 24th International Laser Physics Workshop (LPHYS’15) vol. 691, 012016.
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2016 | Published | Journal Article | IST-REx-ID: 1478 |

Seiringer R, Warzel S. 2016. Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics. 18(3), 035002.
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2016 | Published | Journal Article | IST-REx-ID: 1422 |

Frank R, Hainzl C, Schlein B, Seiringer R. 2016. Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. 106(7), 913–923.
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2016 | Published | Journal Article | IST-REx-ID: 1143 |

Nam P, Rougerie N, Seiringer R. 2016. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. 9(2), 459–485.
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2016 | Published | Journal Article | IST-REx-ID: 1259 |

Bräunlich G, Hainzl C, Seiringer R. 2016. Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry. 19(2), 13.
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2016 | Published | Journal Article | IST-REx-ID: 1291 |

Giuliani A, Seiringer R. 2016. Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. 347(3), 983–1007.
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2016 | Published | Journal Article | IST-REx-ID: 1486 |

Hainzl C, Seiringer R. 2016. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. 57(2), 021101.
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2016 | Published | Journal Article | IST-REx-ID: 1620 |

Frank R, Hainzl C, Seiringer R, Solovej J. 2016. The external field dependence of the BCS critical temperature. Communications in Mathematical Physics. 342(1), 189–216.
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2015 | Published | Journal Article | IST-REx-ID: 1880 |

Könenberg M, Moser T, Seiringer R, Yngvason J. 2015. Superfluid behavior of a Bose-Einstein condensate in a random potential. New Journal of Physics. 17, 013022.
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2015 | Published | Journal Article | IST-REx-ID: 1704 |

Deuchert A, Hainzl C, Seiringer R. 2015. Note on a family of monotone quantum relative entropies. Letters in Mathematical Physics. 105(10), 1449–1466.
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2015 | Published | Journal Article | IST-REx-ID: 1572 |

Correggi M, Giuliani A, Seiringer R. 2015. Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. Communications in Mathematical Physics. 339(1), 279–307.
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2015 | Published | Journal Article | IST-REx-ID: 1573 |

Chen T, Hainzl C, Pavlović N, Seiringer R. 2015. Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications on Pure and Applied Mathematics. 68(10), 1845–1884.
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2015 | Published | Journal Article | IST-REx-ID: 2085 |

Nam P, Seiringer R. 2015. Collective excitations of Bose gases in the mean-field regime. Archive for Rational Mechanics and Analysis. 215(2), 381–417.
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2014 | Published | Journal Article | IST-REx-ID: 2029 |

Correggi M, Giuliani A, Seiringer R. 2014. Validity of spin-wave theory for the quantum Heisenberg model. EPL. 108(2), 20003.
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2014 | Published | Journal Article | IST-REx-ID: 2281 |

Guo Y, Seiringer R. 2014. On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics. 104(2), 141–156.
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2014 | Published | Journal Article | IST-REx-ID: 2407 |

Lieb É, Seiringer R. 2014. Equivalence of two definitions of the effective mass of a polaron. Journal of Statistical Physics. 154(1–2), 51–57.
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2014 | Published | Conference Paper | IST-REx-ID: 1516 |

Bräunlich G, Hainzl C, Seiringer R. 2014. On the BCS gap equation for superfluid fermionic gases. Proceedings of the QMath12 Conference. QMath: Mathematical Results in Quantum Physics, 127–137.
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2014 | Published | Conference Paper | IST-REx-ID: 8044 |

Seiringer R. 2014. Structure of the excitation spectrum for many-body quantum systems. Proceeding of the International Congress of Mathematicans. ICM: International Congress of Mathematicans vol. 3, 1175–1194.
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2014 | Published | Journal Article | IST-REx-ID: 1821 |

Seiringer R. 2014. Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. Journal of Mathematical Physics. 55(7), 1.4881536.
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2014 | Published | Journal Article | IST-REx-ID: 1889 |

Bräunlich G, Hainzl C, Seiringer R. 2014. Translation-invariant quasi-free states for fermionic systems and the BCS approximation. Reviews in Mathematical Physics. 26(7), 1450012.
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2014 | Published | Journal Article | IST-REx-ID: 1904 |

Frank R, Lewin M, Lieb É, Seiringer R. 2014. Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society. 16(7), 1507–1526.
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2014 | Published | Journal Article | IST-REx-ID: 1918 |

Bellazzini J, Frank R, Lieb É, Seiringer R. 2014. Existence of ground states for negative ions at the binding threshold. Reviews in Mathematical Physics. 26(1), 1350021.
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2014 | Published | Journal Article | IST-REx-ID: 1935 |

Giuliani A, Lieb É, Seiringer R. 2014. Formation of stripes and slabs near the ferromagnetic transition. Communications in Mathematical Physics. 331, 333–350.
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2014 | Published | Journal Article | IST-REx-ID: 2186 |

Chen T, Hainzl C, Pavlović N, Seiringer R. 2014. On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters in Mathematical Physics. 104(7), 871–891.
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2013 | Published | Journal Article | IST-REx-ID: 2297 |

Seiringer R. 2013. Hot topics in cold gases: A mathematical physics perspective. Japanese Journal of Mathematics. 8(2), 185–232.
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2013 | Published | Journal Article | IST-REx-ID: 2300 |

Giuliani A, Lieb É, Seiringer R. 2013. Realization of stripes and slabs in two and three dimensions. Physical Review B. 88(6), 064401.
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2013 | Published | Conference Paper | IST-REx-ID: 2315 |

Seiringer R, Yngvason J, Zagrebnov V. 2013. Disordered Bose-Einstein condensates with interaction. ICMP: International Congress on Mathematical Physics, 610–619.
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2013 | Published | Conference Paper | IST-REx-ID: 2319 |

Frank R, Hainzl C, Seiringer R, Solovej J. 2013. Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction. OTAMP: Operator Theory, Analysis and Mathematical Physics, 57–88.
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2013 | Published | Journal Article | IST-REx-ID: 2404 |

Frank R, Lewin M, Lieb É, Seiringer R. 2013. A positive density analogue of the Lieb-Thirring inequality. Duke Mathematical Journal. 162(3), 435–495.
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2013 | Published | Journal Article | IST-REx-ID: 2405 |

Frank R, Lieb É, Seiringer R. 2013. Symmetry of bipolaron bound states for small Coulomb repulsion. Communications in Mathematical Physics. 319(2), 557–573.
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2013 | Published | Journal Article | IST-REx-ID: 2408 |

Grech P, Seiringer R. 2013. The excitation spectrum for weakly interacting Bosons in a trap. Communications in Mathematical Physics. 322(2), 559–591.
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2012 | Published | Conference Paper | IST-REx-ID: 2316 |

Frank R, Lieb É, Seiringer R, Thomas L. 2012. Ground state properties of multi-polaron systems. ICMP: International Congress on Mathematical Physics, 477–485.
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2012 | Published | Conference Paper | IST-REx-ID: 2317 |

Frank R, Hainzl C, Seiringer R, Solovej J. 2012. Microscopic derivation of the Ginzburg-Landau model. ICMP: International Congress on Mathematical Physics, 575–583.
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2012 | Published | Journal Article | IST-REx-ID: 2318 |

Seiringer R. 2012. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2(3), 321–328.
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2012 | Published | Journal Article | IST-REx-ID: 2395 |

Frank R, Hainzl C, Seiringer R, Solovej J. 2012. Microscopic derivation of Ginzburg-Landau theory. Journal of the American Mathematical Society. 25(3), 667–713.
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2012 | Published | Journal Article | IST-REx-ID: 2396 |

Landon B, Seiringer R. 2012. The scattering length at positive temperature. Letters in Mathematical Physics. 100(3), 237–243.
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2012 | Published | Journal Article | IST-REx-ID: 2397 |

Hainzl C, Seiringer R. 2012. Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics. 100(2), 119–138.
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2012 | Published | Book Review | IST-REx-ID: 2398 |

Jakšić V, Ogata Y, Pillet C, Seiringer R. 2012. Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 24(6).
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2012 | Published | Journal Article | IST-REx-ID: 2400 |

Frank R, Lieb É, Seiringer R. 2012. Binding of polarons and atoms at threshold. Communications in Mathematical Physics. 313(2), 405–424.
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2012 | Published | Journal Article | IST-REx-ID: 2401 |

Lieb É, Seiringer R. 2012. Further implications of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 149(1), 86–91.
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2012 | Published | Journal Article | IST-REx-ID: 2402 |

Frank R, Seiringer R. 2012. Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. 53(9).
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2012 | Published | Journal Article | IST-REx-ID: 2403 |

Seiringer R, Yngvason J, Zagrebnov V. 2012. Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment. 2012(11).
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2011 | Published | Conference Paper | IST-REx-ID: 2320 |

Frank R, Lieb É, Seiringer R, Thomas L. 2011. Binding, stability, and non-binding of multi-polaron systems. QMath: Mathematical Results in Quantum Physics, 21–32.
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2011 | Published | Conference Paper | IST-REx-ID: 2321 |

Frank R, Laptev A, Seiringer R. 2011. A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials. OTAMP: Operator Theory, Analysis and Mathematical Physics, Operator Theory: Advances and Applications, vol. 214, 39–44.
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2011 | Published | Journal Article | IST-REx-ID: 2390 |

Frank R, Lieb É, Seiringer R, Thomas L. 2011. Stability and absence of binding for multi-polaron systems. Publications Mathematiques de l Institut des Hautes Etudes Scientifiques. 113(1), 39–67.
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2011 | Published | Journal Article | IST-REx-ID: 2391 |

Frank R, Lewin M, Lieb É, Seiringer R. 2011. Energy cost to make a hole in the fermi sea. Physical Review Letters. 106(15).
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2011 | Published | Journal Article | IST-REx-ID: 2393 |

Seiringer R. 2011. The excitation spectrum for weakly interacting Bosons. Communications in Mathematical Physics. 306(2), 565–578.
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2010 | Published | Conference Paper | IST-REx-ID: 2322 |

Frank R, Lieb É, Seiringer R. 2010. Equivalence of Sobolev inequalities and Lieb-Thirring inequalities. ICMP: International Congress on Mathematical Physics, 523–535.
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2010 | Published | Conference Paper | IST-REx-ID: 2323 |

Seiringer R. 2010. Hot topics on cold gases. ICMP: International Congress on Mathematical Physics, 231–245.
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2010 | Published | Book Chapter | IST-REx-ID: 2324 |

Frank R, Seiringer R. 2010.Sharp fractional Hardy inequalities in half-spaces. In: Around the Research of Vladimir Maz’ya I. International Mathematical Series, vol. 11, 161–167.
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2010 | Published | Journal Article | IST-REx-ID: 2389 |

Hainzl C, Seiringer R. 2010. Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy. Mathematische Nachrichten. 283(3), 489–499.
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2010 | Published | Journal Article | IST-REx-ID: 2392 |

Frank R, Lieb É, Seiringer R, Thomas L. 2010. Bipolaron and N-polaron binding energies. Physical Review Letters. 104(21).
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2009 | Published | Book | IST-REx-ID: 2326
Lieb É, Seiringer R. 2009. The Stability of Matter in Quantum Mechanics, Cambridge University Press, 310p.
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2009 | Published | Conference Paper | IST-REx-ID: 2330
Hainzl C, Seiringer R. 2009. A linear criterion for solutions of non-linear equations, with application to the BCS gap equation. Spectral and Scattering Theory for Quantum Magnetic Systems, Contemporary Mathematics, vol. 500, 101–104.
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2009 | Published | Journal Article | IST-REx-ID: 2384 |

Giuliani A, Seiringer R. 2009. The ground state energy of the weakly interacting Bose gas at high density. Journal of Statistical Physics. 135(5–6), 915–934.
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2009 | Published | Journal Article | IST-REx-ID: 2385 |

Lieb É, Seiringer R, Yngvason J. 2009. Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime. Physical Review A - Atomic, Molecular, and Optical Physics. 79(6).
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2009 | Published | Journal Article | IST-REx-ID: 2386 |

Seiringer R, Ueltschi D. 2009. Rigorous upper bound on the critical temperature of dilute Bose gases. Physical Review B - Condensed Matter and Materials Physics. 80(1).
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2009 | Published | Journal Article | IST-REx-ID: 2387 |

Lewin M, Seiringer R. 2009. Strongly correlated phases in rapidly rotating Bose gases. Journal of Statistical Physics. 137(5), 1040–1062.
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2009 | Published | Journal Article | IST-REx-ID: 2388 |

Predd J, Seiringer R, Lieb É, Osherson D, Poor H, Kulkarni S. 2009. Probabilistic coherence and proper scoring rules. IEEE Transactions on Information Theory. 55(10), 4786–4792.
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2008 | Published | Conference Paper | IST-REx-ID: 2331 |

Hainzl C, Seiringer R. 2008. Spectral properties of the BCS gap equation of superfluidity. QMath: Mathematical Results in Quantum Physics, 117–136.
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2008 | Published | Conference Paper | IST-REx-ID: 2332 |

Seiringer R. 2008. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. QMath: Mathematical Results in Quantum Physics, 241–254.
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2008 | Published | Journal Article | IST-REx-ID: 2374 |

Seiringer R. 2008. Free energy of a dilute Bose gas: Lower bound. Communications in Mathematical Physics. 279(3), 595–636.
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2008 | Published | Journal Article | IST-REx-ID: 2376 |

Hainzl C, Seiringer R. 2008. Critical temperature and energy gap for the BCS equation. Physical Review B - Condensed Matter and Materials Physics. 77(18).
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2008 | Published | Journal Article | IST-REx-ID: 2377 |

Hainzl C, Seiringer R. 2008. The BCS critical temperature for potentials with negative scattering length. Letters in Mathematical Physics. 84(2–3), 99–107.
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2008 | Published | Journal Article | IST-REx-ID: 2378 |

Seiringer R, Yin J. 2008. Ground state energy of the low density hubbard model. Journal of Statistical Physics. 131(6), 1139–1154.
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2008 | Published | Journal Article | IST-REx-ID: 2379 |

Frank R, Lieb É, Seiringer R. 2008. Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Journal of the American Mathematical Society. 21(4), 925–950.
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2008 | Published | Journal Article | IST-REx-ID: 2380 |

Hainzl C, Hamza E, Seiringer R, Solovej J. 2008. The BCS functional for general pair interactions. Communications in Mathematical Physics. 281(2), 349–367.
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2008 | Published | Journal Article | IST-REx-ID: 2381 |

Frank R, Seiringer R. 2008. Non-linear ground state representations and sharp Hardy inequalities. Journal of Functional Analysis. 255(12), 3407–3430.
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2008 | Published | Journal Article | IST-REx-ID: 2382 |

Seiringer R, Yin J. 2008. The Lieb-Liniger model as a limit of dilute bosons in three dimensions. Communications in Mathematical Physics. 284(2), 459–479.
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2008 | Published | Journal Article | IST-REx-ID: 2383 |

Hainzl C, Lewin M, Seiringer R. 2008. A nonlinear model for relativistic electrons at positive temperature. Reviews in Mathematical Physics. 20(10), 1283–1307.
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2007 | Published | Journal Article | IST-REx-ID: 2367 |

Seiringer R. 2007. On the failure of subadditivity of the Wigner-Yanase entropy. Letters in Mathematical Physics. 80(3), 285–288.
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2007 | Published | Journal Article | IST-REx-ID: 2370 |

Lieb É, Seiringer R, Yngvason J. 2007. Bose-Einstein condensation and spontaneous symmetry breaking. Reports on Mathematical Physics. 59(3), 389–399.
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2007 | Published | Journal Article | IST-REx-ID: 2371 |

Frank R, Lieb É, Seiringer R. 2007. Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value. Communications in Mathematical Physics. 275(2), 479–489.
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2007 | Published | Journal Article | IST-REx-ID: 2372 |

Frank R, Lieb É, Seiringer R, Siedentop H. 2007. Müller’s exchange-correlation energy in density-matrix-functional theory. Physical Review A - Atomic, Molecular, and Optical Physics. 76(5).
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2007 | Published | Journal Article | IST-REx-ID: 2373 |

Frank R, Hainzl C, Naboko S, Seiringer R. 2007. The critical temperature for the BCS equation at weak coupling. Journal of Geometric Analysis. 17(4), 559–567.
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2007 | Published | Journal Article | IST-REx-ID: 2375 |

Frank R, Lieb É, Seiringer R. 2007. Number of bound states of Schrödinger operators with matrix-valued potentials. Letters in Mathematical Physics. 82(2–3), 107–116.
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2006 | Published | Conference Paper | IST-REx-ID: 2333 |

Lieb É, Seiringer R, Solovej J. 2006. Ground-state energy of a dilute Fermi gas. Differential Equations and Mathematical Physics, Contemporary Mathematics, vol. 412, 239–248.
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2006 | Published | Conference Paper | IST-REx-ID: 2334 |

Seiringer R, Lieb É, Yngvason J. 2006. One-dimensional behavior of dilute, trapped Bose gases in traps. ICMP: International Congress on Mathematical Physics.
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2006 | Published | Book Review | IST-REx-ID: 2363 |

Lieb É, Seiringer R. 2006. Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Communications in Mathematical Physics. 264(2), 505–537.
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2006 | Published | Journal Article | IST-REx-ID: 2364 |

Seiringer R. 2006. A correlation estimate for quantum many-body systems at positive temperature. Reviews in Mathematical Physics. 18(3), 233–253.
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2006 | Published | Journal Article | IST-REx-ID: 2365 |

Seiringer R. 2006. The thermodynamic pressure of a dilute Fermi gas. Communications in Mathematical Physics. 261(3), 729–757.
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2006 | Published | Journal Article | IST-REx-ID: 2366 |

Frank R, Laptev A, Lieb É, Seiringer R. 2006. Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Letters in Mathematical Physics. 77(3), 309–316.
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2006 | Published | Book Chapter | IST-REx-ID: 2369 |

Aizenman M, Lieb É, Seiringer R, Solovej J, Yngvason J. 2006.Bose-Einstein condensation as a quantum phase transition in an optical lattice. In: Mathematical Physics of Quantum Mechanics. LNP, vol. 690, 199–215.
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2005 | Published | Book | IST-REx-ID: 2335 |

Lieb É, Seiringer R, Solovej J, Yngvason J. 2005. The Mathematics of the Bose gas and its Condensation, Basel ; Berlin: Birkhäuser Verlag, VIII, 203p.
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2005 | Published | Book Chapter | IST-REx-ID: 2336 |

Lieb É, Seiringer R, Solovej J, Yngvason J. 2005.The quantum-mechanical many-body problem: The Bose gas. In: Perspectives in Analysis. Mathematical Physics Studies, vol. 27, 97–183.
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2005 | Published | Journal Article | IST-REx-ID: 2359 |

Lieb É, Seiringer R, Yngvason J. 2005. Justification of c-number substitutions in bosonic hamiltonians. Physical Review Letters. 94(8).
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2005 | Published | Journal Article | IST-REx-ID: 2361 |

Lieb É, Seiringer R. 2005. Stronger subadditivity of entropy. Physical Review A - Atomic, Molecular, and Optical Physics. 71(6).
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2005 | Published | Journal Article | IST-REx-ID: 2362 |

Lieb É, Seiringer R, Solovej J. 2005. Ground state energy of the low density Fermi gas. Physical Review A - Atomic, Molecular, and Optical Physics. 71(5).
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2004 | Published | Journal Article | IST-REx-ID: 2355 |

Lieb É, Seiringer R. 2004. Equivalent forms of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 115(1–2), 185–190.
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2004 | Published | Journal Article | IST-REx-ID: 2356 |

Lieb É, Seiringer R, Yngvason J. 2004. One-dimensional behavior of dilute, trapped Bose gases. Communications in Mathematical Physics. 244(2), 347–393.
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2004 | Published | Journal Article | IST-REx-ID: 2360 |

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

Lieb É, Seiringer R. 2003. Bose-Einstein condensation of dilute gases in traps . Differential Equations and Mathematical Physics, Contemporary Mathematics, vol. 327, 239–250.
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2003 | Published | Journal Article | IST-REx-ID: 2354 |

Seiringer R. 2003. Ground state asymptotics of a dilute, rotating gas. Journal of Physics A: Mathematical and Theoretical. 36(37), 9755–9778.
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2003 | Published | Journal Article | IST-REx-ID: 2357 |

Lieb É, Seiringer R, Yngvason J. 2003. Poincaré inequalities in punctured domains. Annals of Mathematics. 158(3), 1067–1080.
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2003 | Published | Journal Article | IST-REx-ID: 2358 |

Lieb É, Seiringer R, Yngvason J. 2003. One-dimensional Bosons in three-dimensional traps. Physical Review Letters. 91(15), 1504011–1504014.
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2002 | Published | Book Chapter | IST-REx-ID: 2338 |

Lieb É, Solovej J, Seiringer R, Yngvason J. 2002.The ground state of the Bose gas. In: Current Developments in Mathematics, 2001. Current Developments in Mathematics, , 131–178.
[Published Version]
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2002 | Published | Journal Article | IST-REx-ID: 2349 |

Lieb É, Seiringer R. 2002. Proof of Bose-Einstein condensation for dilute trapped gases. Physical Review Letters. 88(17), 1704091–1704094.
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2002 | Published | Journal Article | IST-REx-ID: 2350 |

Hainzl C, Seiringer R. 2002. Mass renormalization and energy level shift in non-relativistic QED. Advances in Theoretical and Mathematical Physics. 6(5), 847–871.
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2002 | Published | Journal Article | IST-REx-ID: 2351 |

Seiringer R. 2002. Gross-Pitaevskii theory of the rotating Bose gas. Communications in Mathematical Physics. 229(3), 491–509.
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2002 | Published | Journal Article | IST-REx-ID: 2352 |

Hainzl C, Seiringer R. 2002. General decomposition of radial functions on ℝn and applications to N-body quantum systems. Letters in Mathematical Physics. 61(1), 75–84.
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2002 | Published | Journal Article | IST-REx-ID: 2353 |

Lieb É, Seiringer R, Yngvason J. 2002. Superfluidity in dilute trapped Bose gases. Physical Review B - Condensed Matter and Materials Physics. 66(13).
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2001 | Published | Conference Paper | IST-REx-ID: 2340 |

Seiringer R. 2001. Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula. PDE: Partial Differential Equations and Spectral Theory, Operator Theory: Advances and Applications, vol. 126, 307–314.
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2001 | Published | Journal Article | IST-REx-ID: 2341 |

Baumgartner B, Seiringer R. 2001. Atoms with bosonic "electrons" in strong magnetic fields. Annales Henri Poincare. 2(1), 41–76.
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2001 | Published | Journal Article | IST-REx-ID: 2345 |

Seiringer R. 2001. On the maximal ionization of atoms in strong magnetic fields. Journal of Physics A: Mathematical and General. 34(9), 1943–1948.
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2001 | Published | Journal Article | IST-REx-ID: 2346 |

Hainzl C, Seiringer R. 2001. Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics. Letters in Mathematical Physics. 55(2), 133–142.
[Published Version]
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2001 | Published | Journal Article | IST-REx-ID: 2347 |

Lieb É, Seiringer R, Yngvason J. 2001. A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas. Communications in Mathematical Physics. 224(1), 17–31.
[Published Version]
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2001 | Published | Journal Article | IST-REx-ID: 2348 |

Hainzl C, Seiringer R. 2001. A discrete density matrix theory for atoms in strong magnetic fields. Communications in Mathematical Physics. 217(1), 229–248.
[Preprint]
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2000 | Published | Conference Paper | IST-REx-ID: 2342 |

Seiringer R, Lieb É, Yngvason J. 2000. The ground state energy and density of interacting bosons in a trap. Proceedings of the International Symposium on Quantum Theory and Symmetries. ISQTS: Quantum Theory and Symmetries, 101–110.
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2000 | Published | Journal Article | IST-REx-ID: 2343 |

Baumgartner B, Seiringer R. 2000. On the ordering of energy levels in homogeneous magnetic fields. Letters in Mathematical Physics. 54(3), 213–226.
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2000 | Published | Journal Article | IST-REx-ID: 2344 |

Lieb É, Seiringer R, Yngvason J. 2000. Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional. Physical Review A - Atomic, Molecular, and Optical Physics. 61(4), 436021–4360213.
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