Robert Seiringer

175 Publications

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[175]
2025 | Published | Journal Article | IST-REx-ID: 19403 | OA
Roos, Barbara, and Robert Seiringer. “BCS Critical Temperature on Half-Spaces.” Archive for Rational Mechanics and Analysis, vol. 249, 20, Springer Nature, 2025, doi:10.1007/s00205-025-02088-x.
[Published Version] View | Files available | DOI | PubMed | Europe PMC | arXiv
 
[174]
2025 | Published | Journal Article | IST-REx-ID: 19628 | OA | PlanS
Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner for the Linear BCS Equation.” Forum of Mathematics, Sigma, vol. 13, e71, Cambridge University Press, 2025, doi:10.1017/fms.2024.145.
[Published Version] View | Files available | DOI | arXiv
 
[173]
2024 | Published | Journal Article | IST-REx-ID: 17478 | OA
Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part II — Energy-Momentum Relation and Effective Mass.” Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques, vol. 140, Springer Nature, 2024, pp. 271–309, doi:10.1007/s10240-024-00150-0.
[Published Version] View | Files available | DOI | arXiv
 
[172]
2024 | Published | Journal Article | IST-REx-ID: 18958
Hainzl, Christian, et al. “Many-Body Quantum Systems.” Oberwolfach Reports, vol. 20, no. 3, EMS Press, 2024, pp. 2247–302, doi:10.4171/owr/2023/39.
View | DOI
 
[171]
2024 | Published | Journal Article | IST-REx-ID: 14931 | OA
Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy of the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” Journal of Functional Analysis, vol. 286, no. 7, 110320, Elsevier, 2024, doi:10.1016/j.jfa.2024.110320.
[Published Version] View | Files available | DOI | arXiv
 
[170]
2024 | Published | Journal Article | IST-REx-ID: 18107 | OA
Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Pressure of a Dilute Spin-Polarized Fermi Gas: Lower Bound.” Forum of Mathematics, Sigma, vol. 12, e78, Cambridge University Press, 2024, doi:10.1017/fms.2024.56.
[Published Version] View | Files available | DOI | arXiv
 
[169]
2023 | Published | Journal Article | IST-REx-ID: 14254 | OA
Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” Journal of Functional Analysis, vol. 285, no. 10, 110129, Elsevier, 2023, doi:10.1016/j.jfa.2023.110129.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[168]
2023 | Published | Book Chapter | IST-REx-ID: 14992 | OA
Lewin, Mathieu, et al. “Universal Functionals in Density Functional Theory.” Density Functional Theory, edited by Eric Cances and Gero Friesecke, 1st ed., Springer, 2023, pp. 115–82, doi:10.1007/978-3-031-22340-2_3.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[167]
2023 | Published | Journal Article | IST-REx-ID: 13225 | OA
Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential.” Archive for Rational Mechanics and Analysis, vol. 247, no. 4, 65, Springer Nature, 2023, doi:10.1007/s00205-023-01893-6.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[166]
2023 | Published | Journal Article | IST-REx-ID: 13178 | OA
Mitrouskas, David Johannes, et al. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” Forum of Mathematics, vol. 11, Cambridge University Press, 2023, pp. 1–52, doi:10.1017/fms.2023.45.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[165]
2023 | Published | Journal Article | IST-REx-ID: 14441 | OA
Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part I - The Quantum Correction to the Classical Energy.” Communications in Mathematical Physics, vol. 404, Springer Nature, 2023, pp. 287–337, doi:10.1007/s00220-023-04841-3.
[Published Version] View | Files available | DOI | arXiv
 
[164]
2023 | Published | Journal Article | IST-REx-ID: 17074 | OA
Brooks, Morris, and Robert Seiringer. “Validity of Bogoliubov’s Approximation Fortranslation-Invariant Bose Gases.” Probability and Mathematical Physics, vol. 3, no. 4, Mathematical Sciences Publishers, 2023, pp. 939–1000, doi:10.2140/pmp.2022.3.939.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[163]
2023 | Published | Journal Article | IST-REx-ID: 12183 | OA
Boccato, Chiara, and Robert Seiringer. “The Bose Gas in a Box with Neumann Boundary Conditions.” Annales Henri Poincare, vol. 24, Springer Nature, 2023, pp. 1505–60, doi:10.1007/s00023-022-01252-3.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[162]
2023 | Published | Journal Article | IST-REx-ID: 14854 | OA
Mitrouskas, David Johannes, and Robert Seiringer. “Ubiquity of Bound States for the Strongly Coupled Polaron.” Pure and Applied Analysis, vol. 5, no. 4, Mathematical Sciences Publishers, 2023, pp. 973–1008, doi:10.2140/paa.2023.5.973.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[161]
2023 | Published | Journal Article | IST-REx-ID: 13207 | OA
Hainzl, Christian, et al. “Boundary Superconductivity in the BCS Model.” Journal of Spectral Theory, vol. 12, no. 4, EMS Press, 2023, pp. 1507–1540, doi:10.4171/JST/439.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[160]
2023 | Published | Journal Article | IST-REx-ID: 14662 | OA
Seiringer, Robert. “Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling.” Journal of Spectral Theory, vol. 13, no. 3, EMS Press, 2023, pp. 1045–55, doi:10.4171/JST/469.
[Published Version] View | Files available | DOI | arXiv
 
[159]
2022 | Published | Journal Article | IST-REx-ID: 10537 | OA
Benedikter, Niels P., et al. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré, vol. 23, no. 5, Springer Nature, 2022, pp. 1725–64, doi:10.1007/s00023-021-01136-y.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[158]
2022 | Published | Journal Article | IST-REx-ID: 12246 | OA
Lewin, Mathieu, et al. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” Letters in Mathematical Physics, vol. 112, no. 5, 92, Springer Nature, 2022, doi:10.1007/s11005-022-01584-5.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[157]
2022 | Published | Journal Article | IST-REx-ID: 10564 | OA
Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” Journal of Statistical Physics, vol. 186, no. 1, 5, Springer Nature, 2022, doi:10.1007/s10955-021-02851-w.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[156]
2022 | Published | Journal Article | IST-REx-ID: 11917 | OA
Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” Journal of Statistical Physics, vol. 188, 9, Springer Nature, 2022, doi:10.1007/s10955-022-02940-4.
[Published Version] View | Files available | DOI | WoS
 
[155]
2022 | Published | Journal Article | IST-REx-ID: 10755 | OA
Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 1, 015201, IOP Publishing, 2022, doi:10.1088/1751-8121/ac3947.
[Published Version] View | Files available | DOI | arXiv
 
[154]
2022 | Published | Journal Article | IST-REx-ID: 10850 | OA
Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” Journal of Functional Analysis, vol. 282, no. 12, 109455, Elsevier, 2022, doi:10.1016/j.jfa.2022.109455.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[153]
2021 | Published | Journal Article | IST-REx-ID: 10738 | OA
Leopold, Nikolai K., et al. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” Analysis and PDE, vol. 14, no. 7, Mathematical Sciences Publishers, 2021, pp. 2079–100, doi:10.2140/APDE.2021.14.2079.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[152]
2021 | Published | Journal Article | IST-REx-ID: 9462 | OA
Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” Journal of Functional Analysis, vol. 281, no. 6, 109096, Elsevier, 2021, doi:10.1016/j.jfa.2021.109096.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[151]
2021 | Published | Journal Article | IST-REx-ID: 10852 | OA
Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical Physics, vol. 33, no. 01, 2060012, World Scientific Publishing, 2021, doi:10.1142/s0129055x20600120.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[150]
2021 | Published | Journal Article | IST-REx-ID: 10224 | OA
Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational Mechanics and Analysis, vol. 242, no. 3, Springer Nature, 2021, pp. 1835–1906, doi:10.1007/s00205-021-01715-7.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[149]
2021 | Published | Journal Article | IST-REx-ID: 7901 | OA
Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” Inventiones Mathematicae, vol. 225, Springer, 2021, pp. 885–979, doi:10.1007/s00222-021-01041-5.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[148]
2021 | Published | Journal Article | IST-REx-ID: 14889 | OA
Leopold, Nikolai K., et al. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” Pure and Applied Analysis, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 653–76, doi:10.2140/paa.2021.3.653.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[147]
2021 | Published | Journal Article | IST-REx-ID: 9318 | OA
Bossmann, Lea, et al. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” Forum of Mathematics, Sigma, vol. 9, e28, Cambridge University Press, 2021, doi:10.1017/fms.2021.22.
[Published Version] View | Files available | DOI | WoS
 
[146]
2021 | Published | Journal Article | IST-REx-ID: 9225 | OA
Feliciangeli, Dario, et al. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics, vol. 111, 19, Springer Nature, 2021, doi:10.1007/s11005-020-01350-5.
[Published Version] View | Files available | DOI | WoS
 
[145]
2021 | Draft | Preprint | IST-REx-ID: 9787 | OA
Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, 2101.12566, doi:10.48550/arXiv.2101.12566.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[144]
2021 | Draft | Preprint | IST-REx-ID: 9791 | OA
Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, 2107.03720, doi:10.48550/arXiv.2107.03720.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[143]
2021 | Published | Journal Article | IST-REx-ID: 9246 | OA
Leopold, Nikolai K., et al. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” Archive for Rational Mechanics and Analysis, vol. 240, Springer Nature, 2021, pp. 383–417, doi:10.1007/s00205-021-01616-9.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[142]
2021 | Published | Journal Article | IST-REx-ID: 9256 | OA
Napiórkowski, Marcin M., and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” Letters in Mathematical Physics, vol. 111, no. 2, 31, Springer Nature, 2021, doi:10.1007/s11005-021-01375-4.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 
[141]
2021 | Published | Journal Article | IST-REx-ID: 8603 | OA
Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” Communications on Pure and Applied Mathematics, vol. 74, no. 3, Wiley, 2021, pp. 544–88, doi:10.1002/cpa.21944.
[Published Version] View | Files available | DOI | WoS
 
[140]
2020 | Published | Journal Article | IST-REx-ID: 14891 | OA
Lewin, Mathieu, et al. “ The Local Density Approximation in Density Functional Theory.” Pure and Applied Analysis, vol. 2, no. 1, Mathematical Sciences Publishers, 2020, pp. 35–73, doi:10.2140/paa.2020.2.35.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[139]
2020 | Published | Journal Article | IST-REx-ID: 15072
Hainzl, Christian, et al. “Many-Body Quantum Systems.” Oberwolfach Reports, vol. 16, no. 3, European Mathematical Society, 2020, pp. 2541–603, doi:10.4171/owr/2019/41.
View | DOI
 
[138]
2020 | Published | Journal Article | IST-REx-ID: 7650 | OA
Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis, vol. 236, no. 6, Springer Nature, 2020, pp. 1217–71, doi:10.1007/s00205-020-01489-4.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[137]
2020 | Published | Journal Article | IST-REx-ID: 7235 | OA
Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics, vol. 180, Springer Nature, 2020, pp. 23–33, doi:10.1007/s10955-019-02322-3.
[Published Version] View | Files available | DOI | WoS
 
[136]
2020 | Published | Journal Article | IST-REx-ID: 8705 | OA
Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales Henri Poincare, vol. 21, no. 12, Springer Nature, 2020, pp. 4003–25, doi:10.1007/s00023-020-00969-3.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[135]
2020 | Published | Journal Article | IST-REx-ID: 8769 | OA
Yakaboylu, Enderalp, et al. “Quantum Impurity Model for Anyons.” Physical Review B, vol. 102, no. 14, 144109, American Physical Society, 2020, doi:10.1103/physrevb.102.144109.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[134]
2020 | Published | Journal Article | IST-REx-ID: 9781 | OA
Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical Analysis, vol. 52, no. 1, Society for Industrial and Applied Mathematics , 2020, pp. 605–22, doi:10.1137/19m126284x.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[133]
2020 | Published | Journal Article | IST-REx-ID: 7790 | OA
Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma, vol. 8, e20, Cambridge University Press, 2020, doi:10.1017/fms.2020.17.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[132]
2020 | Published | Journal Article | IST-REx-ID: 8091 | OA
Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics, vol. 181, Springer, 2020, pp. 448–64, doi:10.1007/s10955-020-02586-0.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[131]
2020 | Published | Journal Article | IST-REx-ID: 8134 | OA
Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” Journal of Mathematical Physics, vol. 61, no. 6, 061901, AIP Publishing, 2020, doi:10.1063/5.0005950.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[130]
2020 | Published | Journal Article | IST-REx-ID: 6649 | OA
Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics, vol. 374, Springer Nature, 2020, pp. 2097–2150, doi:10.1007/s00220-019-03505-5.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[129]
2019 | Published | Journal Article | IST-REx-ID: 7015 | OA
Lewin, Mathieu, et al. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B, vol. 100, no. 3, 035127, American Physical Society, 2019, doi:10.1103/physrevb.100.035127.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[128]
2019 | Published | Journal Article | IST-REx-ID: 80 | OA
Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics, vol. 368, no. 2, Springer, 2019, pp. 723–76, doi:10.1007/s00220-018-3239-0.
[Published Version] View | Files available | DOI | WoS
 
[127]
2019 | Draft | Preprint | IST-REx-ID: 7524 | OA
Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv, 1910.03372, doi:10.48550/arXiv.1910.03372.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[126]
2019 | Published | Journal Article | IST-REx-ID: 5856 | OA
Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare, vol. 20, no. 4, Springer, 2019, pp. 1325–1365, doi:10.1007/s00023-018-00757-0.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[125]
2019 | Published | Journal Article | IST-REx-ID: 7226 | OA
Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical Physics, vol. 60, no. 12, 123504, AIP Publishing, 2019, doi:10.1063/1.5138135.
[Published Version] View | Files available | DOI | WoS
 
[124]
2018 | Published | Journal Article | IST-REx-ID: 180 | OA
Lewi, Mathieu, et al. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5, Ecole Polytechnique, 2018, pp. 79–116, doi:10.5802/jep.64.
[Published Version] View | Files available | DOI | arXiv
 
[123]
2018 | Published | Journal Article | IST-REx-ID: 295 | OA
Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics, vol. 108, no. 11, Springer, 2018, pp. 2523–41, doi:10.1007/s11005-018-1091-y.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[122]
2018 | Published | Journal Article | IST-REx-ID: 154 | OA
Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry, vol. 21, no. 3, 19, Springer, 2018, doi:10.1007/s11040-018-9275-3.
[Published Version] View | Files available | DOI | WoS
 
[121]
2017 | Published | Journal Article | IST-REx-ID: 1198 | OA
Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics, vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:10.1007/s11005-016-0915-x.
[Published Version] View | Files available | DOI | WoS
 
[120]
2017 | Published | Journal Article | IST-REx-ID: 1120 | OA
Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A, vol. 95, no. 3, 033608, American Physical Society, 2017, doi:10.1103/PhysRevA.95.033608.
[Published Version] View | Files available | DOI | Download Published Version (ext.) | WoS | arXiv
 
[119]
2017 | Published | Journal Article | IST-REx-ID: 741 | OA
Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics, vol. 356, no. 1, Springer, 2017, pp. 329–55, doi:10.1007/s00220-017-2980-0.
[Published Version] View | Files available | DOI | WoS
 
[118]
2016 | Published | Conference Paper | IST-REx-ID: 1428 | OA
Könenberg, Martin, et al. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” Journal of Physics: Conference Series, vol. 691, no. 1, 012016, IOP Publishing, 2016, doi:10.1088/1742-6596/691/1/012016.
[Published Version] View | Files available | DOI
 
[117]
2016 | Published | Journal Article | IST-REx-ID: 1478 | OA
Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics, vol. 18, no. 3, 035002, IOP Publishing, 2016, doi:10.1088/1367-2630/18/3/035002.
[Published Version] View | Files available | DOI
 
[116]
2016 | Published | Journal Article | IST-REx-ID: 1259 | OA
Bräunlich, Gerhard, et al. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2, 13, Springer, 2016, doi:10.1007/s11040-016-9209-x.
[Published Version] View | Files available | DOI
 
[115]
2016 | Published | Journal Article | IST-REx-ID: 1291 | OA
Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics, vol. 347, no. 3, Springer, 2016, pp. 983–1007, doi:10.1007/s00220-016-2665-0.
[Published Version] View | Files available | DOI
 
[114]
2016 | Published | Journal Article | IST-REx-ID: 1422 | OA
Frank, Rupert, et al. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” Letters in Mathematical Physics, vol. 106, no. 7, Springer, 2016, pp. 913–23, doi:10.1007/s11005-016-0847-5.
[Published Version] View | Files available | DOI
 
[113]
2016 | Published | Journal Article | IST-REx-ID: 1143 | OA
Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE, vol. 9, no. 2, Mathematical Sciences Publishers, 2016, pp. 459–85, doi:10.2140/apde.2016.9.459.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[112]
2016 | Published | Journal Article | IST-REx-ID: 1486 | OA
Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” Journal of Mathematical Physics, vol. 57, no. 2, 021101, American Institute of Physics, 2016, doi:10.1063/1.4941723.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[111]
2016 | Published | Journal Article | IST-REx-ID: 1620 | OA
Frank, Rupert, et al. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics, vol. 342, no. 1, Springer, 2016, pp. 189–216, doi:10.1007/s00220-015-2526-2.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | arXiv
 
[110]
2015 | Published | Journal Article | IST-REx-ID: 1880 | OA
Könenberg, Martin, et al. “Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” New Journal of Physics, vol. 17, 013022, IOP Publishing, 2015, doi:10.1088/1367-2630/17/1/013022.
[Published Version] View | Files available | DOI
 
[109]
2015 | Published | Journal Article | IST-REx-ID: 1572 | OA
Correggi, Michele, et al. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical Physics, vol. 339, no. 1, Springer, 2015, pp. 279–307, doi:10.1007/s00220-015-2402-0.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[108]
2015 | Published | Journal Article | IST-REx-ID: 1573 | OA
Chen, Thomas, et al. “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics, vol. 68, no. 10, Wiley, 2015, pp. 1845–84, doi:10.1002/cpa.21552.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[107]
2015 | Published | Journal Article | IST-REx-ID: 1704 | OA
Deuchert, Andreas, et al. “Note on a Family of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics, vol. 105, no. 10, Springer, 2015, pp. 1449–66, doi:10.1007/s11005-015-0787-5.
[Preprint] View | Files available | DOI | arXiv
 
[106]
2015 | Published | Journal Article | IST-REx-ID: 2085 | OA
Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the Mean-Field Regime.” Archive for Rational Mechanics and Analysis, vol. 215, no. 2, Springer, 2015, pp. 381–417, doi:10.1007/s00205-014-0781-6.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[105]
2014 | Published | Journal Article | IST-REx-ID: 2281 | OA
Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” Letters in Mathematical Physics, vol. 104, no. 2, Springer, 2014, pp. 141–56, doi:10.1007/s11005-013-0667-9.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[104]
2014 | Published | Conference Paper | IST-REx-ID: 1516 | OA
Bräunlich, Gerhard, et al. “On the BCS Gap Equation for Superfluid Fermionic Gases.” Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–37, doi:10.1142/9789814618144_0007.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[103]
2014 | Published | Journal Article | IST-REx-ID: 1822
Jakšić, Vojkan, et al. “Introduction.” Journal of Mathematical Physics, vol. 55, no. 7, 075101, American Institute of Physics, 2014, doi:10.1063/1.4884877.
View | DOI
 
[102]
2014 | Published | Journal Article | IST-REx-ID: 1889 | OA
Bräunlich, Gerhard, et al. “Translation-Invariant Quasi-Free States for Fermionic Systems and the BCS Approximation.” Reviews in Mathematical Physics, vol. 26, no. 7, 1450012, World Scientific Publishing, 2014, doi:10.1142/S0129055X14500123.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | arXiv
 
[101]
2014 | Published | Journal Article | IST-REx-ID: 1935 | OA
Giuliani, Alessandro, et al. “Formation of Stripes and Slabs near the Ferromagnetic Transition.” Communications in Mathematical Physics, vol. 331, Springer, 2014, pp. 333–50, doi:10.1007/s00220-014-1923-2.
[Published Version] View | Files available | DOI | arXiv
 
[100]
2014 | Published | Journal Article | IST-REx-ID: 10814
Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.” Jahresbericht Der Deutschen Mathematiker-Vereinigung, vol. 116, Springer Nature, 2014, pp. 21–41, doi:10.1365/s13291-014-0083-9.
View | DOI
 
[99]
2014 | Published | Journal Article | IST-REx-ID: 1821 | OA
Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” Journal of Mathematical Physics, vol. 55, no. 7, 1.4881536, American Institute of Physics, 2014, doi:10.1063/1.4881536.
[Submitted Version] View | Files available | DOI
 
[98]
2014 | Published | Journal Article | IST-REx-ID: 2407 | OA
Lieb, Élliott, and Robert Seiringer. “Equivalence of Two Definitions of the Effective Mass of a Polaron.” Journal of Statistical Physics, vol. 154, no. 1–2, Springer, 2014, pp. 51–57, doi:10.1007/s10955-013-0791-z.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[97]
2014 | Published | Journal Article | IST-REx-ID: 1918 | OA
Bellazzini, Jacopo, et al. “Existence of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical Physics, vol. 26, no. 1, 1350021, World Scientific Publishing, 2014, doi:10.1142/S0129055X13500219.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | arXiv
 
[96]
2014 | Published | Journal Article | IST-REx-ID: 1904 | OA
Frank, Rupert, et al. “Strichartz Inequality for Orthonormal Functions.” Journal of the European Mathematical Society, vol. 16, no. 7, European Mathematical Society, 2014, pp. 1507–26, doi:10.4171/JEMS/467.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | arXiv
 
[95]
2014 | Published | Journal Article | IST-REx-ID: 2186 | OA
Chen, Thomas, et al. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” Letters in Mathematical Physics, vol. 104, no. 7, Springer, 2014, pp. 871–91, doi:10.1007/s11005-014-0693-2.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | arXiv
 
[94]
2014 | Published | Journal Article | IST-REx-ID: 2029 | OA
Correggi, Michele, et al. “Validity of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL, vol. 108, no. 2, 20003, IOP Publishing, 2014, doi:10.1209/0295-5075/108/20003.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | arXiv
 
[93]
2014 | Published | Conference Paper | IST-REx-ID: 8044 | OA
Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum Systems.” Proceeding of the International Congress of Mathematicans, vol. 3, International Congress of Mathematicians, 2014, pp. 1175–94.
[Published Version] View | Download Published Version (ext.)
 
[92]
2013 | Published | Journal Article | IST-REx-ID: 2297 | OA
Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.” Japanese Journal of Mathematics, vol. 8, no. 2, Springer, 2013, pp. 185–232, doi:10.1007/s11537-013-1264-5.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[91]
2013 | Published | Journal Article | IST-REx-ID: 2300 | OA
Giuliani, Alessandro, et al. “Realization of Stripes and Slabs in Two and Three Dimensions.” Physical Review B, vol. 88, no. 6, 064401, American Physical Society, 2013, doi:10.1103/PhysRevB.88.064401.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[90]
2013 | Published | Conference Paper | IST-REx-ID: 2315 | OA
Seiringer, Robert, et al. Disordered Bose-Einstein Condensates with Interaction. World Scientific Publishing, 2013, pp. 610–19, doi:10.1142/9789814449243_0063.
View | DOI | Download None (ext.) | arXiv
 
[89]
2013 | Published | Conference Paper | IST-REx-ID: 2319 | OA
Frank, Rupert, et al. Derivation of Ginzburg-Landau Theory for a One-Dimensional System with Contact Interaction. Springer, 2013, pp. 57–88, doi:10.1007/978-3-0348-0531-5_3.
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[88]
2013 | Published | Journal Article | IST-REx-ID: 2404 | OA
Frank, Rupert, et al. “A Positive Density Analogue of the Lieb-Thirring Inequality.” Duke Mathematical Journal, vol. 162, no. 3, Duke University Press, 2013, pp. 435–95, doi:10.1215/00127094-2019477.
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[87]
2013 | Published | Journal Article | IST-REx-ID: 2405 | OA
Frank, Rupert, et al. “Symmetry of Bipolaron Bound States for Small Coulomb Repulsion.” Communications in Mathematical Physics, vol. 319, no. 2, Springer, 2013, pp. 557–73, doi:10.1007/s00220-012-1604-y.
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[86]
2013 | Published | Journal Article | IST-REx-ID: 2406
Seiringer, Robert, et al. “Condensation of Interacting Bosons in a Random Potential.” European Physical Journal: Special Topics, vol. 217, no. 1, Springer, 2013, pp. 103–07, doi:10.1140/epjst/e2013-01759-5.
View | DOI
 
[85]
2013 | Published | Journal Article | IST-REx-ID: 2408 | OA
Grech, Philip, and Robert Seiringer. “The Excitation Spectrum for Weakly Interacting Bosons in a Trap.” Communications in Mathematical Physics, vol. 322, no. 2, Springer, 2013, pp. 559–91, doi:10.1007/s00220-013-1736-8.
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[84]
2012 | Published | Conference Paper | IST-REx-ID: 2316 | OA
Frank, Rupert, et al. Ground State Properties of Multi-Polaron Systems. World Scientific Publishing, 2012, pp. 477–85, doi:10.1142/9789814449243_0045.
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[83]
2012 | Published | Conference Paper | IST-REx-ID: 2317 | OA
Frank, Rupert, et al. Microscopic Derivation of the Ginzburg-Landau Model. World Scientific Publishing, 2012, pp. 575–83, doi:10.1142/9789814449243_0060.
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[82]
2012 | Published | Journal Article | IST-REx-ID: 2394
Freiji, Abraham, et al. “The Gap Equation for Spin-Polarized Fermions.” Journal of Mathematical Physics, vol. 53, no. 1, American Institute of Physics, 2012, doi:10.1063/1.3670747.
View | DOI
 
[81]
2012 | Published | Journal Article | IST-REx-ID: 2395 | OA
Frank, Rupert, et al. “Microscopic Derivation of Ginzburg-Landau Theory.” Journal of the American Mathematical Society, vol. 25, no. 3, American Mathematical Society, 2012, pp. 667–713, doi:10.1090/S0894-0347-2012-00735-8.
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[80]
2012 | Published | Journal Article | IST-REx-ID: 2396 | OA
Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” Letters in Mathematical Physics, vol. 100, no. 3, Springer, 2012, pp. 237–43, doi:10.1007/s11005-012-0566-5.
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[79]
2012 | Published | Journal Article | IST-REx-ID: 2397 | OA
Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics, vol. 100, no. 2, Springer, 2012, pp. 119–38, doi:10.1007/s11005-011-0535-4.
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[78]
2012 | Published | Book Review | IST-REx-ID: 2398 | OA
Jakšić, Vojkan, et al. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical Physics, vol. 24, no. 6, World Scientific Publishing, 2012, doi:10.1142/S0129055X12300026.
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[77]
2012 | Published | Book Chapter | IST-REx-ID: 2399
Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” Quantum Many Body Systems, edited by Vincent Rivasseau et al., vol. 2051, Springer, 2012, pp. 55–92, doi:10.1007/978-3-642-29511-9_2.
View | DOI
 
[76]
2012 | Published | Journal Article | IST-REx-ID: 2400 | OA
Frank, Rupert, et al. “Binding of Polarons and Atoms at Threshold.” Communications in Mathematical Physics, vol. 313, no. 2, Springer, 2012, pp. 405–24, doi:10.1007/s00220-012-1436-9.
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[75]
2012 | Published | Journal Article | IST-REx-ID: 2401 | OA
Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics, vol. 149, no. 1, Springer, 2012, pp. 86–91, doi:10.1007/s10955-012-0585-8.
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[74]
2012 | Published | Journal Article | IST-REx-ID: 2402 | OA
Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” Journal of Mathematical Physics, vol. 53, no. 9, American Institute of Physics, 2012, doi:10.1063/1.3697416.
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[73]
2012 | Published | Journal Article | IST-REx-ID: 2403 | OA
Seiringer, Robert, et al. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical Mechanics Theory and Experiment, vol. 2012, no. 11, IOP Publishing Ltd., 2012, doi:10.1088/1742-5468/2012/11/P11007.
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[72]
2012 | Published | Journal Article | IST-REx-ID: 2318 | OA
Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory, vol. 2, no. 3, European Mathematical Society, 2012, pp. 321–28, doi:10.4171/JST/31.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[71]
2011 | Published | Conference Paper | IST-REx-ID: 2320 | OA
Frank, Rupert, et al. Binding, Stability, and Non-Binding of Multi-Polaron Systems. World Scientific Publishing, 2011, pp. 21–32, doi:10.1142/9789814350365_0002.
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[70]
2011 | Published | Conference Paper | IST-REx-ID: 2321 | OA
Frank, Rupert, et al. A Sharp Bound on Eigenvalues of Schrödinger Operators on the Halfline with Complex-Valued Potentials. Vol. 214, Springer, 2011, pp. 39–44, doi:10.1007/978-3-7643-9994-8_3.
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[69]
2011 | Published | Journal Article | IST-REx-ID: 2390 | OA
Frank, Rupert, et al. “Stability and Absence of Binding for Multi-Polaron Systems.” Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques, vol. 113, no. 1, Springer, 2011, pp. 39–67, doi:10.1007/s10240-011-0031-5.
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[68]
2011 | Published | Journal Article | IST-REx-ID: 2391 | OA
Frank, Rupert, et al. “Energy Cost to Make a Hole in the Fermi Sea.” Physical Review Letters, vol. 106, no. 15, American Physical Society, 2011, doi:10.1103/PhysRevLett.106.150402.
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[67]
2011 | Published | Journal Article | IST-REx-ID: 2393 | OA
Seiringer, Robert. “The Excitation Spectrum for Weakly Interacting Bosons.” Communications in Mathematical Physics, vol. 306, no. 2, Springer, 2011, pp. 565–78, doi:10.1007/s00220-011-1261-6.
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[66]
2010 | Published | Conference Paper | IST-REx-ID: 2322 | OA
Frank, Rupert, et al. Equivalence of Sobolev Inequalities and Lieb-Thirring Inequalities. World Scientific Publishing, 2010, pp. 523–35, doi:10.1142/9789814304634_0045 .
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[65]
2010 | Published | Conference Paper | IST-REx-ID: 2323 | OA
Seiringer, Robert. Hot Topics on Cold Gases. World Scientific Publishing, 2010, pp. 231–45, doi:10.1142/9789814304634_0013.
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[64]
2010 | Published | Book Chapter | IST-REx-ID: 2324 | OA
Frank, Rupert, and Robert Seiringer. “Sharp Fractional Hardy Inequalities in Half-Spaces.” Around the Research of Vladimir Maz’ya I, vol. 11, Springer, 2010, pp. 161–67, doi:10.1007/978-1-4419-1341-8_6.
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[63]
2010 | Published | Journal Article | IST-REx-ID: 2389 | OA
Hainzl, Christian, and Robert Seiringer. “Asymptotic Behavior of Eigenvalues of Schrödinger Type Operators with Degenerate Kinetic Energy.” Mathematische Nachrichten, vol. 283, no. 3, Wiley-Blackwell, 2010, pp. 489–99, doi:10.1002/mana.200810195.
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[62]
2010 | Published | Journal Article | IST-REx-ID: 2392 | OA
Frank, Rupert, et al. “Bipolaron and N-Polaron Binding Energies.” Physical Review Letters, vol. 104, no. 21, American Physical Society, 2010, doi:10.1103/PhysRevLett.104.210402.
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[61]
2009 | Published | Book | IST-REx-ID: 2326
Lieb, Élliott, and Robert Seiringer. The Stability of Matter in Quantum Mechanics. Cambridge University Press, 2009.
View | Download None (ext.)
 
[60]
2009 | Published | Conference Paper | IST-REx-ID: 2330
Hainzl, Christian, and Robert Seiringer. A Linear Criterion for Solutions of Non-Linear Equations, with Application to the BCS Gap Equation. Vol. 500, American Mathematical Society, 2009, pp. 101–04, doi:10.1090/conm/500/09823.
View | DOI
 
[59]
2009 | Published | Journal Article | IST-REx-ID: 2384 | OA
Giuliani, Alessandro, and Robert Seiringer. “The Ground State Energy of the Weakly Interacting Bose Gas at High Density.” Journal of Statistical Physics, vol. 135, no. 5–6, Springer, 2009, pp. 915–34, doi:10.1007/s10955-009-9718-0.
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[58]
2009 | Published | Journal Article | IST-REx-ID: 2385 | OA
Lieb, Élliott, et al. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 79, no. 6, American Physical Society, 2009, doi:10.1103/PhysRevA.79.063626.
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[57]
2009 | Published | Journal Article | IST-REx-ID: 2386 | OA
Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases.” Physical Review B - Condensed Matter and Materials Physics, vol. 80, no. 1, American Physical Society, 2009, doi:10.1103/PhysRevB.80.014502.
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[56]
2009 | Published | Journal Article | IST-REx-ID: 2387 | OA
Lewin, Mathieu, and Robert Seiringer. “Strongly Correlated Phases in Rapidly Rotating Bose Gases.” Journal of Statistical Physics, vol. 137, no. 5, Springer, 2009, pp. 1040–62, doi:10.1007/s10955-009-9833-y.
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[55]
2009 | Published | Journal Article | IST-REx-ID: 2388 | OA
Predd, Joel, et al. “Probabilistic Coherence and Proper Scoring Rules.” IEEE Transactions on Information Theory, vol. 55, no. 10, IEEE, 2009, pp. 4786–92, doi:10.1109/TIT.2009.2027573.
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[54]
2008 | Published | Conference Paper | IST-REx-ID: 2331 | OA
Hainzl, Christian, and Robert Seiringer. Spectral Properties of the BCS Gap Equation of Superfluidity. World Scientific Publishing, 2008, pp. 117–36, doi:10.1142/9789812832382_0009.
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[53]
2008 | Published | Conference Paper | IST-REx-ID: 2332 | OA
Seiringer, Robert. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. World Scientific Publishing, 2008, pp. 241–54, doi:10.1142/9789812832382_0017.
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[52]
2008 | Published | Journal Article | IST-REx-ID: 2374 | OA
Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” Communications in Mathematical Physics, vol. 279, no. 3, Springer, 2008, pp. 595–636, doi:10.1007/s00220-008-0428-2.
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[51]
2008 | Published | Journal Article | IST-REx-ID: 2376 | OA
Hainzl, Christian, and Robert Seiringer. “Critical Temperature and Energy Gap for the BCS Equation.” Physical Review B - Condensed Matter and Materials Physics, vol. 77, no. 18, American Physical Society, 2008, doi:10.1103/PhysRevB.77.184517.
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[50]
2008 | Published | Journal Article | IST-REx-ID: 2377 | OA
Hainzl, Christian, and Robert Seiringer. “The BCS Critical Temperature for Potentials with Negative Scattering Length.” Letters in Mathematical Physics, vol. 84, no. 2–3, Springer, 2008, pp. 99–107, doi:10.1007/s11005-008-0242-y.
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[49]
2008 | Published | Journal Article | IST-REx-ID: 2378 | OA
Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density Hubbard Model.” Journal of Statistical Physics, vol. 131, no. 6, Springer, 2008, pp. 1139–54, doi:10.1007/s10955-008-9527-x.
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[48]
2008 | Published | Journal Article | IST-REx-ID: 2379 | OA
Frank, Rupert, et al. “Hardy-Lieb-Thirring Inequalities for Fractional Schrödinger Operators.” Journal of the American Mathematical Society, vol. 21, no. 4, American Mathematical Society, 2008, pp. 925–50, doi:10.1090/S0894-0347-07-00582-6.
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[47]
2008 | Published | Journal Article | IST-REx-ID: 2380 | OA
Hainzl, Christian, et al. “The BCS Functional for General Pair Interactions.” Communications in Mathematical Physics, vol. 281, no. 2, Springer, 2008, pp. 349–67, doi:10.1007/s00220-008-0489-2.
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[46]
2008 | Published | Journal Article | IST-REx-ID: 2381 | OA
Frank, Rupert, and Robert Seiringer. “Non-Linear Ground State Representations and Sharp Hardy Inequalities.” Journal of Functional Analysis, vol. 255, no. 12, Academic Press, 2008, pp. 3407–30, doi:10.1016/j.jfa.2008.05.015.
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[45]
2008 | Published | Journal Article | IST-REx-ID: 2382 | OA
Seiringer, Robert, and Jun Yin. “The Lieb-Liniger Model as a Limit of Dilute Bosons in Three Dimensions.” Communications in Mathematical Physics, vol. 284, no. 2, Springer, 2008, pp. 459–79, doi:10.1007/s00220-008-0521-6.
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[44]
2008 | Published | Journal Article | IST-REx-ID: 2383 | OA
Hainzl, Christian, et al. “A Nonlinear Model for Relativistic Electrons at Positive Temperature.” Reviews in Mathematical Physics, vol. 20, no. 10, World Scientific Publishing, 2008, pp. 1283–307, doi:10.1142/S0129055X08003547.
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[43]
2007 | Published | Journal Article | IST-REx-ID: 2367 | OA
Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.” Letters in Mathematical Physics, vol. 80, no. 3, Springer, 2007, pp. 285–88, doi:10.1007/s11005-007-0159-x.
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[42]
2007 | Published | Journal Article | IST-REx-ID: 2370 | OA
Lieb, Élliott, et al. “Bose-Einstein Condensation and Spontaneous Symmetry Breaking.” Reports on Mathematical Physics, vol. 59, no. 3, Elsevier, 2007, pp. 389–99, doi:10.1016/S0034-4877(07)80074-7.
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[41]
2007 | Published | Journal Article | IST-REx-ID: 2371 | OA
Frank, Rupert, et al. “Stability of Relativistic Matter with Magnetic Fields for Nuclear Charges up to the Critical Value.” Communications in Mathematical Physics, vol. 275, no. 2, Springer, 2007, pp. 479–89, doi:10.1007/s00220-007-0307-2.
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[40]
2007 | Published | Journal Article | IST-REx-ID: 2372 | OA
Frank, Rupert, et al. “Müller’s Exchange-Correlation Energy in Density-Matrix-Functional Theory.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 76, no. 5, American Physical Society, 2007, doi:10.1103/PhysRevA.76.052517.
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[39]
2007 | Published | Journal Article | IST-REx-ID: 2373 | OA
Frank, Rupert, et al. “The Critical Temperature for the BCS Equation at Weak Coupling.” Journal of Geometric Analysis, vol. 17, no. 4, Springer, 2007, pp. 559–67, doi:10.1007/BF02937429.
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[38]
2007 | Published | Journal Article | IST-REx-ID: 2375 | OA
Frank, Rupert, et al. “Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials.” Letters in Mathematical Physics, vol. 82, no. 2–3, Springer, 2007, pp. 107–16, doi:10.1007/s11005-007-0211-x.
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[37]
2006 | Published | Conference Paper | IST-REx-ID: 2333 | OA
Lieb, Élliott, et al. Ground-State Energy of a Dilute Fermi Gas. Vol. 412, American Mathematical Society, 2006, pp. 239–48, doi:10.1090/conm/412.
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[36]
2006 | Published | Conference Paper | IST-REx-ID: 2334 | OA
Seiringer, Robert, et al. One-Dimensional Behavior of Dilute, Trapped Bose Gases in Traps. Edited by Jean Zambrini, World Scientific Publishing, 2006, doi:10.1007/s00220-003-0993-3.
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[35]
2006 | Published | Book Review | IST-REx-ID: 2363 | OA
Lieb, Élliott, and Robert Seiringer. “Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases.” Communications in Mathematical Physics, vol. 264, no. 2, Springer, 2006, pp. 505–37, doi:10.1007/s00220-006-1524-9.
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[34]
2006 | Published | Journal Article | IST-REx-ID: 2364 | OA
Seiringer, Robert. “A Correlation Estimate for Quantum Many-Body Systems at Positive Temperature.” Reviews in Mathematical Physics, vol. 18, no. 3, World Scientific Publishing, 2006, pp. 233–53, doi:10.1142/S0129055X06002632.
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[33]
2006 | Published | Journal Article | IST-REx-ID: 2365 | OA
Seiringer, Robert. “The Thermodynamic Pressure of a Dilute Fermi Gas.” Communications in Mathematical Physics, vol. 261, no. 3, Springer, 2006, pp. 729–57, doi:10.1007/s00220-005-1433-3.
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[32]
2006 | Published | Journal Article | IST-REx-ID: 2366 | OA
Frank, Rupert, et al. “Lieb-Thirring Inequalities for Schrödinger Operators with Complex-Valued Potentials.” Letters in Mathematical Physics, vol. 77, no. 3, Springer, 2006, pp. 309–16, doi:10.1007/s11005-006-0095-1.
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[31]
2006 | Published | Book Chapter | IST-REx-ID: 2368
Seiringer, Robert. “Dilute, Trapped Bose Gases and Bose-Einstein Condensation.” Large Coulomb Systems, edited by Jan Dereziński and Heinz Siedentop, vol. 695, Springer, 2006, pp. 249–74, doi:10.1007/3-540-32579-4_6.
View | DOI
 
[30]
2006 | Published | Book Chapter | IST-REx-ID: 2369 | OA
Aizenman, Michael, et al. “Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice.” Mathematical Physics of Quantum Mechanics, edited by Joachim Asch and Alain Joye, vol. 690, Springer, 2006, pp. 199–215, doi:10.1007/b11573432.
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[29]
2005 | Published | Book | IST-REx-ID: 2335 | OA
Lieb, Élliott, et al. The Mathematics of the Bose Gas and Its Condensation. Vol. 34, Birkhäuser Verlag, 2005, doi:10.1007/b137508.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[28]
2005 | Published | Book Chapter | IST-REx-ID: 2336 | OA
Lieb, Élliott, et al. “The Quantum-Mechanical Many-Body Problem: The Bose Gas.” Perspectives in Analysis, edited by Michael Benedicks et al., vol. 27, Springer, 2005, pp. 97–183, doi:10.1007/3-540-30434-7_9.
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[27]
2005 | Published | Journal Article | IST-REx-ID: 2359 | OA
Lieb, Élliott, et al. “Justification of C-Number Substitutions in Bosonic Hamiltonians.” Physical Review Letters, vol. 94, no. 8, American Physical Society, 2005, doi:10.1103/PhysRevLett.94.080401.
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[26]
2005 | Published | Journal Article | IST-REx-ID: 2361 | OA
Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 6, American Physical Society, 2005, doi:10.1103/PhysRevA.71.062329.
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[25]
2005 | Published | Journal Article | IST-REx-ID: 2362 | OA
Lieb, Élliott, et al. “Ground State Energy of the Low Density Fermi Gas.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 5, American Physical Society, 2005, doi:10.1103/PhysRevA.71.053605.
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[24]
2004 | Published | Journal Article | IST-REx-ID: 2355 | OA
Lieb, Élliott, and Robert Seiringer. “ Equivalent Forms of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics, vol. 115, no. 1–2, Springer, 2004, pp. 185–90, doi:10.1023/B:JOSS.0000019811.15510.27.
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[23]
2004 | Published | Journal Article | IST-REx-ID: 2356 | OA
Lieb, Élliott, et al. “One-Dimensional Behavior of Dilute, Trapped Bose Gases.” Communications in Mathematical Physics, vol. 244, no. 2, Springer, 2004, pp. 347–93, doi:10.1007/s00220-003-0993-3.
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[22]
2004 | Published | Journal Article | IST-REx-ID: 2360 | OA
Aizenman, Michael, et al. “Bose-Einstein Quantum Phase Transition in an Optical Lattice Model.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 70, no. 2, American Physical Society, 2004, pp. 023612-1-0236121-2, doi:10.1103/PhysRevA.70.023612.
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[21]
2003 | Published | Conference Paper | IST-REx-ID: 2337 | OA
Lieb, Élliott, and Robert Seiringer. Bose-Einstein Condensation of Dilute Gases in Traps . Edited by Yulia Karpeshina et al., vol. 327, American Mathematical Society, 2003, pp. 239–50, doi:10.1090/conm/327/05818.
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[20]
2003 | Published | Journal Article | IST-REx-ID: 2354 | OA
Seiringer, Robert. “Ground State Asymptotics of a Dilute, Rotating Gas.” Journal of Physics A: Mathematical and Theoretical, vol. 36, no. 37, IOP Publishing Ltd., 2003, pp. 9755–78, doi:10.1088/0305-4470/36/37/312.
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[19]
2003 | Published | Journal Article | IST-REx-ID: 2357 | OA
Lieb, Élliott, et al. “Poincaré Inequalities in Punctured Domains.” Annals of Mathematics, vol. 158, no. 3, Princeton University Press, 2003, pp. 1067–80, doi:10.4007/annals.2003.158.1067 .
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[18]
2003 | Published | Journal Article | IST-REx-ID: 2358 | OA
Lieb, Élliott, et al. “One-Dimensional Bosons in Three-Dimensional Traps.” Physical Review Letters, vol. 91, no. 15, American Physical Society, 2003, pp. 1504011–14, doi:10.1103/PhysRevLett.91.150401.
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[17]
2002 | Published | Book Chapter | IST-REx-ID: 2338 | OA
Lieb, Élliott, et al. “The Ground State of the Bose Gas.” Current Developments in Mathematics, 2001, International Press, 2002, pp. 131–78, doi:10.48550/arXiv.math-ph/0204027.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[16]
2002 | Published | Conference Paper | IST-REx-ID: 2339
Seiringer, Robert. Symmetry Breaking in a Model of a Rotating Bose Gas. Edited by Richardo Weder et al., vol. 307, World Scientific Publishing, 2002, pp. 281–86, doi:10.1090/conm/307.
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[15]
2002 | Published | Journal Article | IST-REx-ID: 2349 | OA
Lieb, Élliott, and Robert Seiringer. “Proof of Bose-Einstein Condensation for Dilute Trapped Gases.” Physical Review Letters, vol. 88, no. 17, American Physical Society, 2002, pp. 1704091–94, doi:10.1103/PhysRevLett.88.170409.
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[14]
2002 | Published | Journal Article | IST-REx-ID: 2350 | OA
Hainzl, Christian, and Robert Seiringer. “Mass Renormalization and Energy Level Shift in Non-Relativistic QED.” Advances in Theoretical and Mathematical Physics, vol. 6, no. 5, International Press, 2002, pp. 847–71, doi:10.4310/ATMP.2002.v6.n5.a3.
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[13]
2002 | Published | Journal Article | IST-REx-ID: 2351 | OA
Seiringer, Robert. “Gross-Pitaevskii Theory of the Rotating Bose Gas.” Communications in Mathematical Physics, vol. 229, no. 3, Springer, 2002, pp. 491–509, doi:10.1007/s00220-002-0695-2.
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[12]
2002 | Published | Journal Article | IST-REx-ID: 2352 | OA
Hainzl, Christian, and Robert Seiringer. “General Decomposition of Radial Functions on ℝn and Applications to N-Body Quantum Systems.” Letters in Mathematical Physics, vol. 61, no. 1, Springer, 2002, pp. 75–84, doi:10.1023/A:1020204818938.
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[11]
2002 | Published | Journal Article | IST-REx-ID: 2353 | OA
Lieb, Élliott, et al. “Superfluidity in Dilute Trapped Bose Gases.” Physical Review B - Condensed Matter and Materials Physics, vol. 66, no. 13, American Physical Society, 2002, doi:10.1103/PhysRevB.66.134529.
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[10]
2001 | Published | Conference Paper | IST-REx-ID: 2340 | OA
Seiringer, Robert. Bosons in a Trap: Asymptotic Exactness of the Gross-Pitaevskii Ground State Energy Formula. Edited by Michael Demuth and Bert Schultze, vol. 126, Birkhäuser, 2001, pp. 307–14, doi:10.1007/978-3-0348-8231-6.
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[9]
2001 | Published | Journal Article | IST-REx-ID: 2341 | OA
Baumgartner, Bernhard, and Robert Seiringer. “Atoms with Bosonic "Electrons" in Strong Magnetic Fields.” Annales Henri Poincare, vol. 2, no. 1, Birkhäuser, 2001, pp. 41–76, doi:10.1007/PL00001032.
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[8]
2001 | Published | Journal Article | IST-REx-ID: 2345 | OA
Seiringer, Robert. “On the Maximal Ionization of Atoms in Strong Magnetic Fields.” Journal of Physics A: Mathematical and General, vol. 34, no. 9, IOP Publishing Ltd., 2001, pp. 1943–48, doi:10.1088/0305-4470/34/9/311.
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[7]
2001 | Published | Journal Article | IST-REx-ID: 2346 | OA
Hainzl, Christian, and Robert Seiringer. “Bounds on One-Dimensional Exchange Energies with Application to Lowest Landau Band Quantum Mechanics.” Letters in Mathematical Physics, vol. 55, no. 2, Springer, 2001, pp. 133–42, doi:10.1023/A:1010951905548.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[6]
2001 | Published | Journal Article | IST-REx-ID: 2347 | OA
Lieb, Élliott, et al. “A Rigorous Derivation of the Gross-Pitaevskii Energy Functional for a Two-Dimensional Bose Gas.” Communications in Mathematical Physics, vol. 224, no. 1, Springer, 2001, pp. 17–31, doi:10.1007/s002200100533.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[5]
2001 | Published | Journal Article | IST-REx-ID: 2348 | OA
Hainzl, Christian, and Robert Seiringer. “A Discrete Density Matrix Theory for Atoms in Strong Magnetic Fields.” Communications in Mathematical Physics, vol. 217, no. 1, Springer, 2001, pp. 229–48, doi:10.1007/s002200100373.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[4]
2000 | Published | Conference Paper | IST-REx-ID: 2325
Seiringer, Robert. Inequalities for Schrödinger Operators and Applications to the Stability of Matter Problem . Vol. 529, American Mathematical Society, 2000, pp. 53–72, doi:10.1090/conm/529.
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[3]
2000 | Published | Conference Paper | IST-REx-ID: 2342 | OA
Seiringer, Robert, et al. “The Ground State Energy and Density of Interacting Bosons in a Trap.” Proceedings of the International Symposium on Quantum Theory and Symmetries, World Scientific Publishing, 2000, pp. 101–10.
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[2]
2000 | Published | Journal Article | IST-REx-ID: 2343 | OA
Baumgartner, Bernhard, and Robert Seiringer. “On the Ordering of Energy Levels in Homogeneous Magnetic Fields.” Letters in Mathematical Physics, vol. 54, no. 3, Springer, 2000, pp. 213–26, doi:    10.1023/A:1010978807635.
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[1]
2000 | Published | Journal Article | IST-REx-ID: 2344 | OA
Lieb, Élliott, et al. “Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 61, no. 4, American Physical Society, 2000, pp. 436021–4360213, doi:10.1103/PhysRevA.61.043602.
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3 Grants


Structure of the Excitation Spectrum for Many-Body Quantum Systems

2015-04-01 – 2018-09-30
Austrian Science Fund

Analysis of quantum many-body systems (AQUAMS)

2016-10-01 – 2022-03-31
European Research Council

Mathematical Challenges in BCS Theory of Superconductivity (MBQS)

2023-03-01 – 2027-02-28
Austrian Science Fund

175 Publications

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[175]
2025 | Published | Journal Article | IST-REx-ID: 19403 | OA
Roos, Barbara, and Robert Seiringer. “BCS Critical Temperature on Half-Spaces.” Archive for Rational Mechanics and Analysis, vol. 249, 20, Springer Nature, 2025, doi:10.1007/s00205-025-02088-x.
[Published Version] View | Files available | DOI | PubMed | Europe PMC | arXiv
 
[174]
2025 | Published | Journal Article | IST-REx-ID: 19628 | OA | PlanS
Roos, Barbara, and Robert Seiringer. “Enhanced Superconductivity at a Corner for the Linear BCS Equation.” Forum of Mathematics, Sigma, vol. 13, e71, Cambridge University Press, 2025, doi:10.1017/fms.2024.145.
[Published Version] View | Files available | DOI | arXiv
 
[173]
2024 | Published | Journal Article | IST-REx-ID: 17478 | OA
Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part II — Energy-Momentum Relation and Effective Mass.” Publications Mathematiques de l’Institut Des Hautes Etudes Scientifiques, vol. 140, Springer Nature, 2024, pp. 271–309, doi:10.1007/s10240-024-00150-0.
[Published Version] View | Files available | DOI | arXiv
 
[172]
2024 | Published | Journal Article | IST-REx-ID: 18958
Hainzl, Christian, et al. “Many-Body Quantum Systems.” Oberwolfach Reports, vol. 20, no. 3, EMS Press, 2024, pp. 2247–302, doi:10.4171/owr/2023/39.
View | DOI
 
[171]
2024 | Published | Journal Article | IST-REx-ID: 14931 | OA
Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Ground State Energy of the Dilute Spin-Polarized Fermi Gas: Upper Bound via Cluster Expansion.” Journal of Functional Analysis, vol. 286, no. 7, 110320, Elsevier, 2024, doi:10.1016/j.jfa.2024.110320.
[Published Version] View | Files available | DOI | arXiv
 
[170]
2024 | Published | Journal Article | IST-REx-ID: 18107 | OA
Lauritsen, Asbjørn Bækgaard, and Robert Seiringer. “Pressure of a Dilute Spin-Polarized Fermi Gas: Lower Bound.” Forum of Mathematics, Sigma, vol. 12, e78, Cambridge University Press, 2024, doi:10.1017/fms.2024.56.
[Published Version] View | Files available | DOI | arXiv
 
[169]
2023 | Published | Journal Article | IST-REx-ID: 14254 | OA
Seiringer, Robert, and Jan Philip Solovej. “A Simple Approach to Lieb-Thirring Type Inequalities.” Journal of Functional Analysis, vol. 285, no. 10, 110129, Elsevier, 2023, doi:10.1016/j.jfa.2023.110129.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[168]
2023 | Published | Book Chapter | IST-REx-ID: 14992 | OA
Lewin, Mathieu, et al. “Universal Functionals in Density Functional Theory.” Density Functional Theory, edited by Eric Cances and Gero Friesecke, 1st ed., Springer, 2023, pp. 115–82, doi:10.1007/978-3-031-22340-2_3.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[167]
2023 | Published | Journal Article | IST-REx-ID: 13225 | OA
Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential.” Archive for Rational Mechanics and Analysis, vol. 247, no. 4, 65, Springer Nature, 2023, doi:10.1007/s00205-023-01893-6.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[166]
2023 | Published | Journal Article | IST-REx-ID: 13178 | OA
Mitrouskas, David Johannes, et al. “Optimal Parabolic Upper Bound for the Energy-Momentum Relation of a Strongly Coupled Polaron.” Forum of Mathematics, vol. 11, Cambridge University Press, 2023, pp. 1–52, doi:10.1017/fms.2023.45.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[165]
2023 | Published | Journal Article | IST-REx-ID: 14441 | OA
Brooks, Morris, and Robert Seiringer. “The Fröhlich Polaron at Strong Coupling: Part I - The Quantum Correction to the Classical Energy.” Communications in Mathematical Physics, vol. 404, Springer Nature, 2023, pp. 287–337, doi:10.1007/s00220-023-04841-3.
[Published Version] View | Files available | DOI | arXiv
 
[164]
2023 | Published | Journal Article | IST-REx-ID: 17074 | OA
Brooks, Morris, and Robert Seiringer. “Validity of Bogoliubov’s Approximation Fortranslation-Invariant Bose Gases.” Probability and Mathematical Physics, vol. 3, no. 4, Mathematical Sciences Publishers, 2023, pp. 939–1000, doi:10.2140/pmp.2022.3.939.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[163]
2023 | Published | Journal Article | IST-REx-ID: 12183 | OA
Boccato, Chiara, and Robert Seiringer. “The Bose Gas in a Box with Neumann Boundary Conditions.” Annales Henri Poincare, vol. 24, Springer Nature, 2023, pp. 1505–60, doi:10.1007/s00023-022-01252-3.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[162]
2023 | Published | Journal Article | IST-REx-ID: 14854 | OA
Mitrouskas, David Johannes, and Robert Seiringer. “Ubiquity of Bound States for the Strongly Coupled Polaron.” Pure and Applied Analysis, vol. 5, no. 4, Mathematical Sciences Publishers, 2023, pp. 973–1008, doi:10.2140/paa.2023.5.973.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[161]
2023 | Published | Journal Article | IST-REx-ID: 13207 | OA
Hainzl, Christian, et al. “Boundary Superconductivity in the BCS Model.” Journal of Spectral Theory, vol. 12, no. 4, EMS Press, 2023, pp. 1507–1540, doi:10.4171/JST/439.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[160]
2023 | Published | Journal Article | IST-REx-ID: 14662 | OA
Seiringer, Robert. “Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling.” Journal of Spectral Theory, vol. 13, no. 3, EMS Press, 2023, pp. 1045–55, doi:10.4171/JST/469.
[Published Version] View | Files available | DOI | arXiv
 
[159]
2022 | Published | Journal Article | IST-REx-ID: 10537 | OA
Benedikter, Niels P., et al. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré, vol. 23, no. 5, Springer Nature, 2022, pp. 1725–64, doi:10.1007/s00023-021-01136-y.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[158]
2022 | Published | Journal Article | IST-REx-ID: 12246 | OA
Lewin, Mathieu, et al. “Improved Lieb–Oxford Bound on the Indirect and Exchange Energies.” Letters in Mathematical Physics, vol. 112, no. 5, 92, Springer Nature, 2022, doi:10.1007/s11005-022-01584-5.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[157]
2022 | Published | Journal Article | IST-REx-ID: 10564 | OA
Mysliwy, Krzysztof, and Robert Seiringer. “Polaron Models with Regular Interactions at Strong Coupling.” Journal of Statistical Physics, vol. 186, no. 1, 5, Springer Nature, 2022, doi:10.1007/s10955-021-02851-w.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[156]
2022 | Published | Journal Article | IST-REx-ID: 11917 | OA
Rademacher, Simone Anna Elvira, and Robert Seiringer. “Large Deviation Estimates for Weakly Interacting Bosons.” Journal of Statistical Physics, vol. 188, 9, Springer Nature, 2022, doi:10.1007/s10955-022-02940-4.
[Published Version] View | Files available | DOI | WoS
 
[155]
2022 | Published | Journal Article | IST-REx-ID: 10755 | OA
Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” Journal of Physics A: Mathematical and Theoretical, vol. 55, no. 1, 015201, IOP Publishing, 2022, doi:10.1088/1751-8121/ac3947.
[Published Version] View | Files available | DOI | arXiv
 
[154]
2022 | Published | Journal Article | IST-REx-ID: 10850 | OA
Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” Journal of Functional Analysis, vol. 282, no. 12, 109455, Elsevier, 2022, doi:10.1016/j.jfa.2022.109455.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[153]
2021 | Published | Journal Article | IST-REx-ID: 10738 | OA
Leopold, Nikolai K., et al. “ The Landau–Pekar Equations: Adiabatic Theorem and Accuracy.” Analysis and PDE, vol. 14, no. 7, Mathematical Sciences Publishers, 2021, pp. 2079–100, doi:10.2140/APDE.2021.14.2079.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[152]
2021 | Published | Journal Article | IST-REx-ID: 9462 | OA
Deuchert, Andreas, and Robert Seiringer. “Semiclassical Approximation and Critical Temperature Shift for Weakly Interacting Trapped Bosons.” Journal of Functional Analysis, vol. 281, no. 6, 109096, Elsevier, 2021, doi:10.1016/j.jfa.2021.109096.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[151]
2021 | Published | Journal Article | IST-REx-ID: 10852 | OA
Seiringer, Robert. “The Polaron at Strong Coupling.” Reviews in Mathematical Physics, vol. 33, no. 01, 2060012, World Scientific Publishing, 2021, doi:10.1142/s0129055x20600120.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[150]
2021 | Published | Journal Article | IST-REx-ID: 10224 | OA
Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational Mechanics and Analysis, vol. 242, no. 3, Springer Nature, 2021, pp. 1835–1906, doi:10.1007/s00205-021-01715-7.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[149]
2021 | Published | Journal Article | IST-REx-ID: 7901 | OA
Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi Gas.” Inventiones Mathematicae, vol. 225, Springer, 2021, pp. 885–979, doi:10.1007/s00222-021-01041-5.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[148]
2021 | Published | Journal Article | IST-REx-ID: 14889 | OA
Leopold, Nikolai K., et al. “Landau–Pekar Equations and Quantum Fluctuations for the Dynamics of a Strongly Coupled Polaron.” Pure and Applied Analysis, vol. 3, no. 4, Mathematical Sciences Publishers, 2021, pp. 653–76, doi:10.2140/paa.2021.3.653.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[147]
2021 | Published | Journal Article | IST-REx-ID: 9318 | OA
Bossmann, Lea, et al. “Asymptotic Expansion of Low-Energy Excitations for Weakly Interacting Bosons.” Forum of Mathematics, Sigma, vol. 9, e28, Cambridge University Press, 2021, doi:10.1017/fms.2021.22.
[Published Version] View | Files available | DOI | WoS
 
[146]
2021 | Published | Journal Article | IST-REx-ID: 9225 | OA
Feliciangeli, Dario, et al. “Persistence of the Spectral Gap for the Landau–Pekar Equations.” Letters in Mathematical Physics, vol. 111, 19, Springer Nature, 2021, doi:10.1007/s11005-020-01350-5.
[Published Version] View | Files available | DOI | WoS
 
[145]
2021 | Draft | Preprint | IST-REx-ID: 9787 | OA
Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on the Torus: Quantum Corrections to the Pekar Asymptotics.” ArXiv, 2101.12566, doi:10.48550/arXiv.2101.12566.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[144]
2021 | Draft | Preprint | IST-REx-ID: 9791 | OA
Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, 2107.03720, doi:10.48550/arXiv.2107.03720.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[143]
2021 | Published | Journal Article | IST-REx-ID: 9246 | OA
Leopold, Nikolai K., et al. “Derivation of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” Archive for Rational Mechanics and Analysis, vol. 240, Springer Nature, 2021, pp. 383–417, doi:10.1007/s00205-021-01616-9.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC | arXiv
 
[142]
2021 | Published | Journal Article | IST-REx-ID: 9256 | OA
Napiórkowski, Marcin M., and Robert Seiringer. “Free Energy Asymptotics of the Quantum Heisenberg Spin Chain.” Letters in Mathematical Physics, vol. 111, no. 2, 31, Springer Nature, 2021, doi:10.1007/s11005-021-01375-4.
[Published Version] View | Files available | DOI | WoS | PubMed | Europe PMC
 
[141]
2021 | Published | Journal Article | IST-REx-ID: 8603 | OA
Frank, Rupert, and Robert Seiringer. “Quantum Corrections to the Pekar Asymptotics of a Strongly Coupled Polaron.” Communications on Pure and Applied Mathematics, vol. 74, no. 3, Wiley, 2021, pp. 544–88, doi:10.1002/cpa.21944.
[Published Version] View | Files available | DOI | WoS
 
[140]
2020 | Published | Journal Article | IST-REx-ID: 14891 | OA
Lewin, Mathieu, et al. “ The Local Density Approximation in Density Functional Theory.” Pure and Applied Analysis, vol. 2, no. 1, Mathematical Sciences Publishers, 2020, pp. 35–73, doi:10.2140/paa.2020.2.35.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[139]
2020 | Published | Journal Article | IST-REx-ID: 15072
Hainzl, Christian, et al. “Many-Body Quantum Systems.” Oberwolfach Reports, vol. 16, no. 3, European Mathematical Society, 2020, pp. 2541–603, doi:10.4171/owr/2019/41.
View | DOI
 
[138]
2020 | Published | Journal Article | IST-REx-ID: 7650 | OA
Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis, vol. 236, no. 6, Springer Nature, 2020, pp. 1217–71, doi:10.1007/s00205-020-01489-4.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[137]
2020 | Published | Journal Article | IST-REx-ID: 7235 | OA
Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics, vol. 180, Springer Nature, 2020, pp. 23–33, doi:10.1007/s10955-019-02322-3.
[Published Version] View | Files available | DOI | WoS
 
[136]
2020 | Published | Journal Article | IST-REx-ID: 8705 | OA
Mysliwy, Krzysztof, and Robert Seiringer. “Microscopic Derivation of the Fröhlich Hamiltonian for the Bose Polaron in the Mean-Field Limit.” Annales Henri Poincare, vol. 21, no. 12, Springer Nature, 2020, pp. 4003–25, doi:10.1007/s00023-020-00969-3.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[135]
2020 | Published | Journal Article | IST-REx-ID: 8769 | OA
Yakaboylu, Enderalp, et al. “Quantum Impurity Model for Anyons.” Physical Review B, vol. 102, no. 14, 144109, American Physical Society, 2020, doi:10.1103/physrevb.102.144109.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[134]
2020 | Published | Journal Article | IST-REx-ID: 9781 | OA
Feliciangeli, Dario, and Robert Seiringer. “Uniqueness and Nondegeneracy of Minimizers of the Pekar Functional on a Ball.” SIAM Journal on Mathematical Analysis, vol. 52, no. 1, Society for Industrial and Applied Mathematics , 2020, pp. 605–22, doi:10.1137/19m126284x.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[133]
2020 | Published | Journal Article | IST-REx-ID: 7790 | OA
Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” Forum of Mathematics, Sigma, vol. 8, e20, Cambridge University Press, 2020, doi:10.1017/fms.2020.17.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[132]
2020 | Published | Journal Article | IST-REx-ID: 8091 | OA
Seiringer, Robert, and Jakob Yngvason. “Emergence of Haldane Pseudo-Potentials in Systems with Short-Range Interactions.” Journal of Statistical Physics, vol. 181, Springer, 2020, pp. 448–64, doi:10.1007/s10955-020-02586-0.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[131]
2020 | Published | Journal Article | IST-REx-ID: 8134 | OA
Mayer, Simon, and Robert Seiringer. “The Free Energy of the Two-Dimensional Dilute Bose Gas. II. Upper Bound.” Journal of Mathematical Physics, vol. 61, no. 6, 061901, AIP Publishing, 2020, doi:10.1063/5.0005950.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[130]
2020 | Published | Journal Article | IST-REx-ID: 6649 | OA
Benedikter, Niels P., et al. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics, vol. 374, Springer Nature, 2020, pp. 2097–2150, doi:10.1007/s00220-019-03505-5.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[129]
2019 | Published | Journal Article | IST-REx-ID: 7015 | OA
Lewin, Mathieu, et al. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B, vol. 100, no. 3, 035127, American Physical Society, 2019, doi:10.1103/physrevb.100.035127.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[128]
2019 | Published | Journal Article | IST-REx-ID: 80 | OA
Deuchert, Andreas, et al. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics, vol. 368, no. 2, Springer, 2019, pp. 723–76, doi:10.1007/s00220-018-3239-0.
[Published Version] View | Files available | DOI | WoS
 
[127]
2019 | Draft | Preprint | IST-REx-ID: 7524 | OA
Deuchert, Andreas, et al. “The Free Energy of the Two-Dimensional Dilute Bose Gas. I. Lower Bound.” ArXiv, 1910.03372, doi:10.48550/arXiv.1910.03372.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | arXiv
 
[126]
2019 | Published | Journal Article | IST-REx-ID: 5856 | OA
Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare, vol. 20, no. 4, Springer, 2019, pp. 1325–1365, doi:10.1007/s00023-018-00757-0.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[125]
2019 | Published | Journal Article | IST-REx-ID: 7226 | OA
Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical Physics, vol. 60, no. 12, 123504, AIP Publishing, 2019, doi:10.1063/1.5138135.
[Published Version] View | Files available | DOI | WoS
 
[124]
2018 | Published | Journal Article | IST-REx-ID: 180 | OA
Lewi, Mathieu, et al. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5, Ecole Polytechnique, 2018, pp. 79–116, doi:10.5802/jep.64.
[Published Version] View | Files available | DOI | arXiv
 
[123]
2018 | Published | Journal Article | IST-REx-ID: 295 | OA
Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics, vol. 108, no. 11, Springer, 2018, pp. 2523–41, doi:10.1007/s11005-018-1091-y.
[Published Version] View | Files available | DOI | WoS | arXiv
 
[122]
2018 | Published | Journal Article | IST-REx-ID: 154 | OA
Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry, vol. 21, no. 3, 19, Springer, 2018, doi:10.1007/s11040-018-9275-3.
[Published Version] View | Files available | DOI | WoS
 
[121]
2017 | Published | Journal Article | IST-REx-ID: 1198 | OA
Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics, vol. 107, no. 3, Springer, 2017, pp. 533–52, doi:10.1007/s11005-016-0915-x.
[Published Version] View | Files available | DOI | WoS
 
[120]
2017 | Published | Journal Article | IST-REx-ID: 1120 | OA
Li, Xiang, et al. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A, vol. 95, no. 3, 033608, American Physical Society, 2017, doi:10.1103/PhysRevA.95.033608.
[Published Version] View | Files available | DOI | Download Published Version (ext.) | WoS | arXiv
 
[119]
2017 | Published | Journal Article | IST-REx-ID: 741 | OA
Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics, vol. 356, no. 1, Springer, 2017, pp. 329–55, doi:10.1007/s00220-017-2980-0.
[Published Version] View | Files available | DOI | WoS
 
[118]
2016 | Published | Conference Paper | IST-REx-ID: 1428 | OA
Könenberg, Martin, et al. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” Journal of Physics: Conference Series, vol. 691, no. 1, 012016, IOP Publishing, 2016, doi:10.1088/1742-6596/691/1/012016.
[Published Version] View | Files available | DOI
 
[117]
2016 | Published | Journal Article | IST-REx-ID: 1478 | OA
Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics, vol. 18, no. 3, 035002, IOP Publishing, 2016, doi:10.1088/1367-2630/18/3/035002.
[Published Version] View | Files available | DOI
 
[116]
2016 | Published | Journal Article | IST-REx-ID: 1259 | OA
Bräunlich, Gerhard, et al. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2, 13, Springer, 2016, doi:10.1007/s11040-016-9209-x.
[Published Version] View | Files available | DOI
 
[115]
2016 | Published | Journal Article | IST-REx-ID: 1291 | OA
Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics, vol. 347, no. 3, Springer, 2016, pp. 983–1007, doi:10.1007/s00220-016-2665-0.
[Published Version] View | Files available | DOI
 
[114]
2016 | Published | Journal Article | IST-REx-ID: 1422 | OA
Frank, Rupert, et al. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” Letters in Mathematical Physics, vol. 106, no. 7, Springer, 2016, pp. 913–23, doi:10.1007/s11005-016-0847-5.
[Published Version] View | Files available | DOI
 
[113]
2016 | Published | Journal Article | IST-REx-ID: 1143 | OA
Nam, Phan, et al. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE, vol. 9, no. 2, Mathematical Sciences Publishers, 2016, pp. 459–85, doi:10.2140/apde.2016.9.459.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[112]
2016 | Published | Journal Article | IST-REx-ID: 1486 | OA
Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” Journal of Mathematical Physics, vol. 57, no. 2, 021101, American Institute of Physics, 2016, doi:10.1063/1.4941723.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[111]
2016 | Published | Journal Article | IST-REx-ID: 1620 | OA
Frank, Rupert, et al. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics, vol. 342, no. 1, Springer, 2016, pp. 189–216, doi:10.1007/s00220-015-2526-2.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | arXiv
 
[110]
2015 | Published | Journal Article | IST-REx-ID: 1880 | OA
Könenberg, Martin, et al. “Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” New Journal of Physics, vol. 17, 013022, IOP Publishing, 2015, doi:10.1088/1367-2630/17/1/013022.
[Published Version] View | Files available | DOI
 
[109]
2015 | Published | Journal Article | IST-REx-ID: 1572 | OA
Correggi, Michele, et al. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical Physics, vol. 339, no. 1, Springer, 2015, pp. 279–307, doi:10.1007/s00220-015-2402-0.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[108]
2015 | Published | Journal Article | IST-REx-ID: 1573 | OA
Chen, Thomas, et al. “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics, vol. 68, no. 10, Wiley, 2015, pp. 1845–84, doi:10.1002/cpa.21552.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[107]
2015 | Published | Journal Article | IST-REx-ID: 1704 | OA
Deuchert, Andreas, et al. “Note on a Family of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics, vol. 105, no. 10, Springer, 2015, pp. 1449–66, doi:10.1007/s11005-015-0787-5.
[Preprint] View | Files available | DOI | arXiv
 
[106]
2015 | Published | Journal Article | IST-REx-ID: 2085 | OA
Nam, Phan, and Robert Seiringer. “Collective Excitations of Bose Gases in the Mean-Field Regime.” Archive for Rational Mechanics and Analysis, vol. 215, no. 2, Springer, 2015, pp. 381–417, doi:10.1007/s00205-014-0781-6.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[105]
2014 | Published | Journal Article | IST-REx-ID: 2281 | OA
Guo, Yujin, and Robert Seiringer. “On the Mass Concentration for Bose-Einstein Condensates with Attractive Interactions.” Letters in Mathematical Physics, vol. 104, no. 2, Springer, 2014, pp. 141–56, doi:10.1007/s11005-013-0667-9.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[104]
2014 | Published | Conference Paper | IST-REx-ID: 1516 | OA
Bräunlich, Gerhard, et al. “On the BCS Gap Equation for Superfluid Fermionic Gases.” Proceedings of the QMath12 Conference, World Scientific Publishing, 2014, pp. 127–37, doi:10.1142/9789814618144_0007.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[103]
2014 | Published | Journal Article | IST-REx-ID: 1822
Jakšić, Vojkan, et al. “Introduction.” Journal of Mathematical Physics, vol. 55, no. 7, 075101, American Institute of Physics, 2014, doi:10.1063/1.4884877.
View | DOI
 
[102]
2014 | Published | Journal Article | IST-REx-ID: 1889 | OA
Bräunlich, Gerhard, et al. “Translation-Invariant Quasi-Free States for Fermionic Systems and the BCS Approximation.” Reviews in Mathematical Physics, vol. 26, no. 7, 1450012, World Scientific Publishing, 2014, doi:10.1142/S0129055X14500123.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | arXiv
 
[101]
2014 | Published | Journal Article | IST-REx-ID: 1935 | OA
Giuliani, Alessandro, et al. “Formation of Stripes and Slabs near the Ferromagnetic Transition.” Communications in Mathematical Physics, vol. 331, Springer, 2014, pp. 333–50, doi:10.1007/s00220-014-1923-2.
[Published Version] View | Files available | DOI | arXiv
 
[100]
2014 | Published | Journal Article | IST-REx-ID: 10814
Seiringer, Robert. “The Excitation Spectrum for Bose Fluids with Weak Interactions.” Jahresbericht Der Deutschen Mathematiker-Vereinigung, vol. 116, Springer Nature, 2014, pp. 21–41, doi:10.1365/s13291-014-0083-9.
View | DOI
 
[99]
2014 | Published | Journal Article | IST-REx-ID: 1821 | OA
Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” Journal of Mathematical Physics, vol. 55, no. 7, 1.4881536, American Institute of Physics, 2014, doi:10.1063/1.4881536.
[Submitted Version] View | Files available | DOI
 
[98]
2014 | Published | Journal Article | IST-REx-ID: 2407 | OA
Lieb, Élliott, and Robert Seiringer. “Equivalence of Two Definitions of the Effective Mass of a Polaron.” Journal of Statistical Physics, vol. 154, no. 1–2, Springer, 2014, pp. 51–57, doi:10.1007/s10955-013-0791-z.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[97]
2014 | Published | Journal Article | IST-REx-ID: 1918 | OA
Bellazzini, Jacopo, et al. “Existence of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical Physics, vol. 26, no. 1, 1350021, World Scientific Publishing, 2014, doi:10.1142/S0129055X13500219.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | arXiv
 
[96]
2014 | Published | Journal Article | IST-REx-ID: 1904 | OA
Frank, Rupert, et al. “Strichartz Inequality for Orthonormal Functions.” Journal of the European Mathematical Society, vol. 16, no. 7, European Mathematical Society, 2014, pp. 1507–26, doi:10.4171/JEMS/467.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | arXiv
 
[95]
2014 | Published | Journal Article | IST-REx-ID: 2186 | OA
Chen, Thomas, et al. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” Letters in Mathematical Physics, vol. 104, no. 7, Springer, 2014, pp. 871–91, doi:10.1007/s11005-014-0693-2.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | arXiv
 
[94]
2014 | Published | Journal Article | IST-REx-ID: 2029 | OA
Correggi, Michele, et al. “Validity of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL, vol. 108, no. 2, 20003, IOP Publishing, 2014, doi:10.1209/0295-5075/108/20003.
[Submitted Version] View | DOI | Download Submitted Version (ext.) | arXiv
 
[93]
2014 | Published | Conference Paper | IST-REx-ID: 8044 | OA
Seiringer, Robert. “Structure of the Excitation Spectrum for Many-Body Quantum Systems.” Proceeding of the International Congress of Mathematicans, vol. 3, International Congress of Mathematicians, 2014, pp. 1175–94.
[Published Version] View | Download Published Version (ext.)
 
[92]
2013 | Published | Journal Article | IST-REx-ID: 2297 | OA
Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.” Japanese Journal of Mathematics, vol. 8, no. 2, Springer, 2013, pp. 185–232, doi:10.1007/s11537-013-1264-5.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[91]
2013 | Published | Journal Article | IST-REx-ID: 2300 | OA
Giuliani, Alessandro, et al. “Realization of Stripes and Slabs in Two and Three Dimensions.” Physical Review B, vol. 88, no. 6, 064401, American Physical Society, 2013, doi:10.1103/PhysRevB.88.064401.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[90]
2013 | Published | Conference Paper | IST-REx-ID: 2315 | OA
Seiringer, Robert, et al. Disordered Bose-Einstein Condensates with Interaction. World Scientific Publishing, 2013, pp. 610–19, doi:10.1142/9789814449243_0063.
View | DOI | Download None (ext.) | arXiv
 
[89]
2013 | Published | Conference Paper | IST-REx-ID: 2319 | OA
Frank, Rupert, et al. Derivation of Ginzburg-Landau Theory for a One-Dimensional System with Contact Interaction. Springer, 2013, pp. 57–88, doi:10.1007/978-3-0348-0531-5_3.
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[88]
2013 | Published | Journal Article | IST-REx-ID: 2404 | OA
Frank, Rupert, et al. “A Positive Density Analogue of the Lieb-Thirring Inequality.” Duke Mathematical Journal, vol. 162, no. 3, Duke University Press, 2013, pp. 435–95, doi:10.1215/00127094-2019477.
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[87]
2013 | Published | Journal Article | IST-REx-ID: 2405 | OA
Frank, Rupert, et al. “Symmetry of Bipolaron Bound States for Small Coulomb Repulsion.” Communications in Mathematical Physics, vol. 319, no. 2, Springer, 2013, pp. 557–73, doi:10.1007/s00220-012-1604-y.
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[86]
2013 | Published | Journal Article | IST-REx-ID: 2406
Seiringer, Robert, et al. “Condensation of Interacting Bosons in a Random Potential.” European Physical Journal: Special Topics, vol. 217, no. 1, Springer, 2013, pp. 103–07, doi:10.1140/epjst/e2013-01759-5.
View | DOI
 
[85]
2013 | Published | Journal Article | IST-REx-ID: 2408 | OA
Grech, Philip, and Robert Seiringer. “The Excitation Spectrum for Weakly Interacting Bosons in a Trap.” Communications in Mathematical Physics, vol. 322, no. 2, Springer, 2013, pp. 559–91, doi:10.1007/s00220-013-1736-8.
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[84]
2012 | Published | Conference Paper | IST-REx-ID: 2316 | OA
Frank, Rupert, et al. Ground State Properties of Multi-Polaron Systems. World Scientific Publishing, 2012, pp. 477–85, doi:10.1142/9789814449243_0045.
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[83]
2012 | Published | Conference Paper | IST-REx-ID: 2317 | OA
Frank, Rupert, et al. Microscopic Derivation of the Ginzburg-Landau Model. World Scientific Publishing, 2012, pp. 575–83, doi:10.1142/9789814449243_0060.
View | DOI | Download (ext.)
 
[82]
2012 | Published | Journal Article | IST-REx-ID: 2394
Freiji, Abraham, et al. “The Gap Equation for Spin-Polarized Fermions.” Journal of Mathematical Physics, vol. 53, no. 1, American Institute of Physics, 2012, doi:10.1063/1.3670747.
View | DOI
 
[81]
2012 | Published | Journal Article | IST-REx-ID: 2395 | OA
Frank, Rupert, et al. “Microscopic Derivation of Ginzburg-Landau Theory.” Journal of the American Mathematical Society, vol. 25, no. 3, American Mathematical Society, 2012, pp. 667–713, doi:10.1090/S0894-0347-2012-00735-8.
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[80]
2012 | Published | Journal Article | IST-REx-ID: 2396 | OA
Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” Letters in Mathematical Physics, vol. 100, no. 3, Springer, 2012, pp. 237–43, doi:10.1007/s11005-012-0566-5.
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[79]
2012 | Published | Journal Article | IST-REx-ID: 2397 | OA
Hainzl, Christian, and Robert Seiringer. “Low Density Limit of BCS Theory and Bose-Einstein Condensation of Fermion Pairs.” Letters in Mathematical Physics, vol. 100, no. 2, Springer, 2012, pp. 119–38, doi:10.1007/s11005-011-0535-4.
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[78]
2012 | Published | Book Review | IST-REx-ID: 2398 | OA
Jakšić, Vojkan, et al. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical Physics, vol. 24, no. 6, World Scientific Publishing, 2012, doi:10.1142/S0129055X12300026.
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[77]
2012 | Published | Book Chapter | IST-REx-ID: 2399
Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” Quantum Many Body Systems, edited by Vincent Rivasseau et al., vol. 2051, Springer, 2012, pp. 55–92, doi:10.1007/978-3-642-29511-9_2.
View | DOI
 
[76]
2012 | Published | Journal Article | IST-REx-ID: 2400 | OA
Frank, Rupert, et al. “Binding of Polarons and Atoms at Threshold.” Communications in Mathematical Physics, vol. 313, no. 2, Springer, 2012, pp. 405–24, doi:10.1007/s00220-012-1436-9.
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[75]
2012 | Published | Journal Article | IST-REx-ID: 2401 | OA
Lieb, Élliott, and Robert Seiringer. “Further Implications of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics, vol. 149, no. 1, Springer, 2012, pp. 86–91, doi:10.1007/s10955-012-0585-8.
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[74]
2012 | Published | Journal Article | IST-REx-ID: 2402 | OA
Frank, Rupert, and Robert Seiringer. “Lieb-Thirring Inequality for a Model of Particles with Point Interactions.” Journal of Mathematical Physics, vol. 53, no. 9, American Institute of Physics, 2012, doi:10.1063/1.3697416.
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[73]
2012 | Published | Journal Article | IST-REx-ID: 2403 | OA
Seiringer, Robert, et al. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical Mechanics Theory and Experiment, vol. 2012, no. 11, IOP Publishing Ltd., 2012, doi:10.1088/1742-5468/2012/11/P11007.
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[72]
2012 | Published | Journal Article | IST-REx-ID: 2318 | OA
Seiringer, Robert. “Absence of Bound States Implies Non-Negativity of the Scattering Length.” Journal of Spectral Theory, vol. 2, no. 3, European Mathematical Society, 2012, pp. 321–28, doi:10.4171/JST/31.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[71]
2011 | Published | Conference Paper | IST-REx-ID: 2320 | OA
Frank, Rupert, et al. Binding, Stability, and Non-Binding of Multi-Polaron Systems. World Scientific Publishing, 2011, pp. 21–32, doi:10.1142/9789814350365_0002.
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[70]
2011 | Published | Conference Paper | IST-REx-ID: 2321 | OA
Frank, Rupert, et al. A Sharp Bound on Eigenvalues of Schrödinger Operators on the Halfline with Complex-Valued Potentials. Vol. 214, Springer, 2011, pp. 39–44, doi:10.1007/978-3-7643-9994-8_3.
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[69]
2011 | Published | Journal Article | IST-REx-ID: 2390 | OA
Frank, Rupert, et al. “Stability and Absence of Binding for Multi-Polaron Systems.” Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques, vol. 113, no. 1, Springer, 2011, pp. 39–67, doi:10.1007/s10240-011-0031-5.
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[68]
2011 | Published | Journal Article | IST-REx-ID: 2391 | OA
Frank, Rupert, et al. “Energy Cost to Make a Hole in the Fermi Sea.” Physical Review Letters, vol. 106, no. 15, American Physical Society, 2011, doi:10.1103/PhysRevLett.106.150402.
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[67]
2011 | Published | Journal Article | IST-REx-ID: 2393 | OA
Seiringer, Robert. “The Excitation Spectrum for Weakly Interacting Bosons.” Communications in Mathematical Physics, vol. 306, no. 2, Springer, 2011, pp. 565–78, doi:10.1007/s00220-011-1261-6.
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[66]
2010 | Published | Conference Paper | IST-REx-ID: 2322 | OA
Frank, Rupert, et al. Equivalence of Sobolev Inequalities and Lieb-Thirring Inequalities. World Scientific Publishing, 2010, pp. 523–35, doi:10.1142/9789814304634_0045 .
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[65]
2010 | Published | Conference Paper | IST-REx-ID: 2323 | OA
Seiringer, Robert. Hot Topics on Cold Gases. World Scientific Publishing, 2010, pp. 231–45, doi:10.1142/9789814304634_0013.
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[64]
2010 | Published | Book Chapter | IST-REx-ID: 2324 | OA
Frank, Rupert, and Robert Seiringer. “Sharp Fractional Hardy Inequalities in Half-Spaces.” Around the Research of Vladimir Maz’ya I, vol. 11, Springer, 2010, pp. 161–67, doi:10.1007/978-1-4419-1341-8_6.
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[63]
2010 | Published | Journal Article | IST-REx-ID: 2389 | OA
Hainzl, Christian, and Robert Seiringer. “Asymptotic Behavior of Eigenvalues of Schrödinger Type Operators with Degenerate Kinetic Energy.” Mathematische Nachrichten, vol. 283, no. 3, Wiley-Blackwell, 2010, pp. 489–99, doi:10.1002/mana.200810195.
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[62]
2010 | Published | Journal Article | IST-REx-ID: 2392 | OA
Frank, Rupert, et al. “Bipolaron and N-Polaron Binding Energies.” Physical Review Letters, vol. 104, no. 21, American Physical Society, 2010, doi:10.1103/PhysRevLett.104.210402.
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[61]
2009 | Published | Book | IST-REx-ID: 2326
Lieb, Élliott, and Robert Seiringer. The Stability of Matter in Quantum Mechanics. Cambridge University Press, 2009.
View | Download None (ext.)
 
[60]
2009 | Published | Conference Paper | IST-REx-ID: 2330
Hainzl, Christian, and Robert Seiringer. A Linear Criterion for Solutions of Non-Linear Equations, with Application to the BCS Gap Equation. Vol. 500, American Mathematical Society, 2009, pp. 101–04, doi:10.1090/conm/500/09823.
View | DOI
 
[59]
2009 | Published | Journal Article | IST-REx-ID: 2384 | OA
Giuliani, Alessandro, and Robert Seiringer. “The Ground State Energy of the Weakly Interacting Bose Gas at High Density.” Journal of Statistical Physics, vol. 135, no. 5–6, Springer, 2009, pp. 915–34, doi:10.1007/s10955-009-9718-0.
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[58]
2009 | Published | Journal Article | IST-REx-ID: 2385 | OA
Lieb, Élliott, et al. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 79, no. 6, American Physical Society, 2009, doi:10.1103/PhysRevA.79.063626.
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[57]
2009 | Published | Journal Article | IST-REx-ID: 2386 | OA
Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases.” Physical Review B - Condensed Matter and Materials Physics, vol. 80, no. 1, American Physical Society, 2009, doi:10.1103/PhysRevB.80.014502.
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[56]
2009 | Published | Journal Article | IST-REx-ID: 2387 | OA
Lewin, Mathieu, and Robert Seiringer. “Strongly Correlated Phases in Rapidly Rotating Bose Gases.” Journal of Statistical Physics, vol. 137, no. 5, Springer, 2009, pp. 1040–62, doi:10.1007/s10955-009-9833-y.
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[55]
2009 | Published | Journal Article | IST-REx-ID: 2388 | OA
Predd, Joel, et al. “Probabilistic Coherence and Proper Scoring Rules.” IEEE Transactions on Information Theory, vol. 55, no. 10, IEEE, 2009, pp. 4786–92, doi:10.1109/TIT.2009.2027573.
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[54]
2008 | Published | Conference Paper | IST-REx-ID: 2331 | OA
Hainzl, Christian, and Robert Seiringer. Spectral Properties of the BCS Gap Equation of Superfluidity. World Scientific Publishing, 2008, pp. 117–36, doi:10.1142/9789812832382_0009.
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[53]
2008 | Published | Conference Paper | IST-REx-ID: 2332 | OA
Seiringer, Robert. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. World Scientific Publishing, 2008, pp. 241–54, doi:10.1142/9789812832382_0017.
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[52]
2008 | Published | Journal Article | IST-REx-ID: 2374 | OA
Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.” Communications in Mathematical Physics, vol. 279, no. 3, Springer, 2008, pp. 595–636, doi:10.1007/s00220-008-0428-2.
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[51]
2008 | Published | Journal Article | IST-REx-ID: 2376 | OA
Hainzl, Christian, and Robert Seiringer. “Critical Temperature and Energy Gap for the BCS Equation.” Physical Review B - Condensed Matter and Materials Physics, vol. 77, no. 18, American Physical Society, 2008, doi:10.1103/PhysRevB.77.184517.
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[50]
2008 | Published | Journal Article | IST-REx-ID: 2377 | OA
Hainzl, Christian, and Robert Seiringer. “The BCS Critical Temperature for Potentials with Negative Scattering Length.” Letters in Mathematical Physics, vol. 84, no. 2–3, Springer, 2008, pp. 99–107, doi:10.1007/s11005-008-0242-y.
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[49]
2008 | Published | Journal Article | IST-REx-ID: 2378 | OA
Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density Hubbard Model.” Journal of Statistical Physics, vol. 131, no. 6, Springer, 2008, pp. 1139–54, doi:10.1007/s10955-008-9527-x.
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[48]
2008 | Published | Journal Article | IST-REx-ID: 2379 | OA
Frank, Rupert, et al. “Hardy-Lieb-Thirring Inequalities for Fractional Schrödinger Operators.” Journal of the American Mathematical Society, vol. 21, no. 4, American Mathematical Society, 2008, pp. 925–50, doi:10.1090/S0894-0347-07-00582-6.
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[47]
2008 | Published | Journal Article | IST-REx-ID: 2380 | OA
Hainzl, Christian, et al. “The BCS Functional for General Pair Interactions.” Communications in Mathematical Physics, vol. 281, no. 2, Springer, 2008, pp. 349–67, doi:10.1007/s00220-008-0489-2.
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[46]
2008 | Published | Journal Article | IST-REx-ID: 2381 | OA
Frank, Rupert, and Robert Seiringer. “Non-Linear Ground State Representations and Sharp Hardy Inequalities.” Journal of Functional Analysis, vol. 255, no. 12, Academic Press, 2008, pp. 3407–30, doi:10.1016/j.jfa.2008.05.015.
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[45]
2008 | Published | Journal Article | IST-REx-ID: 2382 | OA
Seiringer, Robert, and Jun Yin. “The Lieb-Liniger Model as a Limit of Dilute Bosons in Three Dimensions.” Communications in Mathematical Physics, vol. 284, no. 2, Springer, 2008, pp. 459–79, doi:10.1007/s00220-008-0521-6.
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[44]
2008 | Published | Journal Article | IST-REx-ID: 2383 | OA
Hainzl, Christian, et al. “A Nonlinear Model for Relativistic Electrons at Positive Temperature.” Reviews in Mathematical Physics, vol. 20, no. 10, World Scientific Publishing, 2008, pp. 1283–307, doi:10.1142/S0129055X08003547.
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[43]
2007 | Published | Journal Article | IST-REx-ID: 2367 | OA
Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.” Letters in Mathematical Physics, vol. 80, no. 3, Springer, 2007, pp. 285–88, doi:10.1007/s11005-007-0159-x.
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[42]
2007 | Published | Journal Article | IST-REx-ID: 2370 | OA
Lieb, Élliott, et al. “Bose-Einstein Condensation and Spontaneous Symmetry Breaking.” Reports on Mathematical Physics, vol. 59, no. 3, Elsevier, 2007, pp. 389–99, doi:10.1016/S0034-4877(07)80074-7.
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[41]
2007 | Published | Journal Article | IST-REx-ID: 2371 | OA
Frank, Rupert, et al. “Stability of Relativistic Matter with Magnetic Fields for Nuclear Charges up to the Critical Value.” Communications in Mathematical Physics, vol. 275, no. 2, Springer, 2007, pp. 479–89, doi:10.1007/s00220-007-0307-2.
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[40]
2007 | Published | Journal Article | IST-REx-ID: 2372 | OA
Frank, Rupert, et al. “Müller’s Exchange-Correlation Energy in Density-Matrix-Functional Theory.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 76, no. 5, American Physical Society, 2007, doi:10.1103/PhysRevA.76.052517.
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[39]
2007 | Published | Journal Article | IST-REx-ID: 2373 | OA
Frank, Rupert, et al. “The Critical Temperature for the BCS Equation at Weak Coupling.” Journal of Geometric Analysis, vol. 17, no. 4, Springer, 2007, pp. 559–67, doi:10.1007/BF02937429.
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[38]
2007 | Published | Journal Article | IST-REx-ID: 2375 | OA
Frank, Rupert, et al. “Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials.” Letters in Mathematical Physics, vol. 82, no. 2–3, Springer, 2007, pp. 107–16, doi:10.1007/s11005-007-0211-x.
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[37]
2006 | Published | Conference Paper | IST-REx-ID: 2333 | OA
Lieb, Élliott, et al. Ground-State Energy of a Dilute Fermi Gas. Vol. 412, American Mathematical Society, 2006, pp. 239–48, doi:10.1090/conm/412.
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[36]
2006 | Published | Conference Paper | IST-REx-ID: 2334 | OA
Seiringer, Robert, et al. One-Dimensional Behavior of Dilute, Trapped Bose Gases in Traps. Edited by Jean Zambrini, World Scientific Publishing, 2006, doi:10.1007/s00220-003-0993-3.
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[35]
2006 | Published | Book Review | IST-REx-ID: 2363 | OA
Lieb, Élliott, and Robert Seiringer. “Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases.” Communications in Mathematical Physics, vol. 264, no. 2, Springer, 2006, pp. 505–37, doi:10.1007/s00220-006-1524-9.
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[34]
2006 | Published | Journal Article | IST-REx-ID: 2364 | OA
Seiringer, Robert. “A Correlation Estimate for Quantum Many-Body Systems at Positive Temperature.” Reviews in Mathematical Physics, vol. 18, no. 3, World Scientific Publishing, 2006, pp. 233–53, doi:10.1142/S0129055X06002632.
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[33]
2006 | Published | Journal Article | IST-REx-ID: 2365 | OA
Seiringer, Robert. “The Thermodynamic Pressure of a Dilute Fermi Gas.” Communications in Mathematical Physics, vol. 261, no. 3, Springer, 2006, pp. 729–57, doi:10.1007/s00220-005-1433-3.
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[32]
2006 | Published | Journal Article | IST-REx-ID: 2366 | OA
Frank, Rupert, et al. “Lieb-Thirring Inequalities for Schrödinger Operators with Complex-Valued Potentials.” Letters in Mathematical Physics, vol. 77, no. 3, Springer, 2006, pp. 309–16, doi:10.1007/s11005-006-0095-1.
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[31]
2006 | Published | Book Chapter | IST-REx-ID: 2368
Seiringer, Robert. “Dilute, Trapped Bose Gases and Bose-Einstein Condensation.” Large Coulomb Systems, edited by Jan Dereziński and Heinz Siedentop, vol. 695, Springer, 2006, pp. 249–74, doi:10.1007/3-540-32579-4_6.
View | DOI
 
[30]
2006 | Published | Book Chapter | IST-REx-ID: 2369 | OA
Aizenman, Michael, et al. “Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice.” Mathematical Physics of Quantum Mechanics, edited by Joachim Asch and Alain Joye, vol. 690, Springer, 2006, pp. 199–215, doi:10.1007/b11573432.
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[29]
2005 | Published | Book | IST-REx-ID: 2335 | OA
Lieb, Élliott, et al. The Mathematics of the Bose Gas and Its Condensation. Vol. 34, Birkhäuser Verlag, 2005, doi:10.1007/b137508.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[28]
2005 | Published | Book Chapter | IST-REx-ID: 2336 | OA
Lieb, Élliott, et al. “The Quantum-Mechanical Many-Body Problem: The Bose Gas.” Perspectives in Analysis, edited by Michael Benedicks et al., vol. 27, Springer, 2005, pp. 97–183, doi:10.1007/3-540-30434-7_9.
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[27]
2005 | Published | Journal Article | IST-REx-ID: 2359 | OA
Lieb, Élliott, et al. “Justification of C-Number Substitutions in Bosonic Hamiltonians.” Physical Review Letters, vol. 94, no. 8, American Physical Society, 2005, doi:10.1103/PhysRevLett.94.080401.
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[26]
2005 | Published | Journal Article | IST-REx-ID: 2361 | OA
Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 6, American Physical Society, 2005, doi:10.1103/PhysRevA.71.062329.
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[25]
2005 | Published | Journal Article | IST-REx-ID: 2362 | OA
Lieb, Élliott, et al. “Ground State Energy of the Low Density Fermi Gas.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 5, American Physical Society, 2005, doi:10.1103/PhysRevA.71.053605.
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[24]
2004 | Published | Journal Article | IST-REx-ID: 2355 | OA
Lieb, Élliott, and Robert Seiringer. “ Equivalent Forms of the Bessis-Moussa-Villani Conjecture.” Journal of Statistical Physics, vol. 115, no. 1–2, Springer, 2004, pp. 185–90, doi:10.1023/B:JOSS.0000019811.15510.27.
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[23]
2004 | Published | Journal Article | IST-REx-ID: 2356 | OA
Lieb, Élliott, et al. “One-Dimensional Behavior of Dilute, Trapped Bose Gases.” Communications in Mathematical Physics, vol. 244, no. 2, Springer, 2004, pp. 347–93, doi:10.1007/s00220-003-0993-3.
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[22]
2004 | Published | Journal Article | IST-REx-ID: 2360 | OA
Aizenman, Michael, et al. “Bose-Einstein Quantum Phase Transition in an Optical Lattice Model.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 70, no. 2, American Physical Society, 2004, pp. 023612-1-0236121-2, doi:10.1103/PhysRevA.70.023612.
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[21]
2003 | Published | Conference Paper | IST-REx-ID: 2337 | OA
Lieb, Élliott, and Robert Seiringer. Bose-Einstein Condensation of Dilute Gases in Traps . Edited by Yulia Karpeshina et al., vol. 327, American Mathematical Society, 2003, pp. 239–50, doi:10.1090/conm/327/05818.
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[20]
2003 | Published | Journal Article | IST-REx-ID: 2354 | OA
Seiringer, Robert. “Ground State Asymptotics of a Dilute, Rotating Gas.” Journal of Physics A: Mathematical and Theoretical, vol. 36, no. 37, IOP Publishing Ltd., 2003, pp. 9755–78, doi:10.1088/0305-4470/36/37/312.
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[19]
2003 | Published | Journal Article | IST-REx-ID: 2357 | OA
Lieb, Élliott, et al. “Poincaré Inequalities in Punctured Domains.” Annals of Mathematics, vol. 158, no. 3, Princeton University Press, 2003, pp. 1067–80, doi:10.4007/annals.2003.158.1067 .
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[18]
2003 | Published | Journal Article | IST-REx-ID: 2358 | OA
Lieb, Élliott, et al. “One-Dimensional Bosons in Three-Dimensional Traps.” Physical Review Letters, vol. 91, no. 15, American Physical Society, 2003, pp. 1504011–14, doi:10.1103/PhysRevLett.91.150401.
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[17]
2002 | Published | Book Chapter | IST-REx-ID: 2338 | OA
Lieb, Élliott, et al. “The Ground State of the Bose Gas.” Current Developments in Mathematics, 2001, International Press, 2002, pp. 131–78, doi:10.48550/arXiv.math-ph/0204027.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[16]
2002 | Published | Conference Paper | IST-REx-ID: 2339
Seiringer, Robert. Symmetry Breaking in a Model of a Rotating Bose Gas. Edited by Richardo Weder et al., vol. 307, World Scientific Publishing, 2002, pp. 281–86, doi:10.1090/conm/307.
View | DOI
 
[15]
2002 | Published | Journal Article | IST-REx-ID: 2349 | OA
Lieb, Élliott, and Robert Seiringer. “Proof of Bose-Einstein Condensation for Dilute Trapped Gases.” Physical Review Letters, vol. 88, no. 17, American Physical Society, 2002, pp. 1704091–94, doi:10.1103/PhysRevLett.88.170409.
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[14]
2002 | Published | Journal Article | IST-REx-ID: 2350 | OA
Hainzl, Christian, and Robert Seiringer. “Mass Renormalization and Energy Level Shift in Non-Relativistic QED.” Advances in Theoretical and Mathematical Physics, vol. 6, no. 5, International Press, 2002, pp. 847–71, doi:10.4310/ATMP.2002.v6.n5.a3.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[13]
2002 | Published | Journal Article | IST-REx-ID: 2351 | OA
Seiringer, Robert. “Gross-Pitaevskii Theory of the Rotating Bose Gas.” Communications in Mathematical Physics, vol. 229, no. 3, Springer, 2002, pp. 491–509, doi:10.1007/s00220-002-0695-2.
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[12]
2002 | Published | Journal Article | IST-REx-ID: 2352 | OA
Hainzl, Christian, and Robert Seiringer. “General Decomposition of Radial Functions on ℝn and Applications to N-Body Quantum Systems.” Letters in Mathematical Physics, vol. 61, no. 1, Springer, 2002, pp. 75–84, doi:10.1023/A:1020204818938.
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[11]
2002 | Published | Journal Article | IST-REx-ID: 2353 | OA
Lieb, Élliott, et al. “Superfluidity in Dilute Trapped Bose Gases.” Physical Review B - Condensed Matter and Materials Physics, vol. 66, no. 13, American Physical Society, 2002, doi:10.1103/PhysRevB.66.134529.
View | DOI | Download None (ext.) | arXiv
 
[10]
2001 | Published | Conference Paper | IST-REx-ID: 2340 | OA
Seiringer, Robert. Bosons in a Trap: Asymptotic Exactness of the Gross-Pitaevskii Ground State Energy Formula. Edited by Michael Demuth and Bert Schultze, vol. 126, Birkhäuser, 2001, pp. 307–14, doi:10.1007/978-3-0348-8231-6.
View | DOI | Download None (ext.) | arXiv
 
[9]
2001 | Published | Journal Article | IST-REx-ID: 2341 | OA
Baumgartner, Bernhard, and Robert Seiringer. “Atoms with Bosonic "Electrons" in Strong Magnetic Fields.” Annales Henri Poincare, vol. 2, no. 1, Birkhäuser, 2001, pp. 41–76, doi:10.1007/PL00001032.
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[8]
2001 | Published | Journal Article | IST-REx-ID: 2345 | OA
Seiringer, Robert. “On the Maximal Ionization of Atoms in Strong Magnetic Fields.” Journal of Physics A: Mathematical and General, vol. 34, no. 9, IOP Publishing Ltd., 2001, pp. 1943–48, doi:10.1088/0305-4470/34/9/311.
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[7]
2001 | Published | Journal Article | IST-REx-ID: 2346 | OA
Hainzl, Christian, and Robert Seiringer. “Bounds on One-Dimensional Exchange Energies with Application to Lowest Landau Band Quantum Mechanics.” Letters in Mathematical Physics, vol. 55, no. 2, Springer, 2001, pp. 133–42, doi:10.1023/A:1010951905548.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[6]
2001 | Published | Journal Article | IST-REx-ID: 2347 | OA
Lieb, Élliott, et al. “A Rigorous Derivation of the Gross-Pitaevskii Energy Functional for a Two-Dimensional Bose Gas.” Communications in Mathematical Physics, vol. 224, no. 1, Springer, 2001, pp. 17–31, doi:10.1007/s002200100533.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
[5]
2001 | Published | Journal Article | IST-REx-ID: 2348 | OA
Hainzl, Christian, and Robert Seiringer. “A Discrete Density Matrix Theory for Atoms in Strong Magnetic Fields.” Communications in Mathematical Physics, vol. 217, no. 1, Springer, 2001, pp. 229–48, doi:10.1007/s002200100373.
[Preprint] View | DOI | Download Preprint (ext.) | arXiv
 
[4]
2000 | Published | Conference Paper | IST-REx-ID: 2325
Seiringer, Robert. Inequalities for Schrödinger Operators and Applications to the Stability of Matter Problem . Vol. 529, American Mathematical Society, 2000, pp. 53–72, doi:10.1090/conm/529.
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[3]
2000 | Published | Conference Paper | IST-REx-ID: 2342 | OA
Seiringer, Robert, et al. “The Ground State Energy and Density of Interacting Bosons in a Trap.” Proceedings of the International Symposium on Quantum Theory and Symmetries, World Scientific Publishing, 2000, pp. 101–10.
View | Download None (ext.) | arXiv
 
[2]
2000 | Published | Journal Article | IST-REx-ID: 2343 | OA
Baumgartner, Bernhard, and Robert Seiringer. “On the Ordering of Energy Levels in Homogeneous Magnetic Fields.” Letters in Mathematical Physics, vol. 54, no. 3, Springer, 2000, pp. 213–26, doi:    10.1023/A:1010978807635.
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[1]
2000 | Published | Journal Article | IST-REx-ID: 2344 | OA
Lieb, Élliott, et al. “Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional.” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 61, no. 4, American Physical Society, 2000, pp. 436021–4360213, doi:10.1103/PhysRevA.61.043602.
[Published Version] View | DOI | Download Published Version (ext.) | arXiv
 
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