169 Publications

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[169]
2024 | 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 | DOI | Download Published Version (ext.) | arXiv
 
[168]
2023 | 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
 
[167]
2023 | 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
 
[166]
2023 | 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
 
[165]
2023 | 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
 
[164]
2023 | 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.
View | Files available | DOI | arXiv
 
[163]
2023 | 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
 
[162]
2023 | Journal Article | IST-REx-ID: 14854
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.
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[161]
2023 | 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
 
[160]
2023 | 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
 
[159]
2022 | 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
 
[158]
2022 | 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 | 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 | 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
 
[155]
2022 | 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]
2021 | 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
 
[153]
2021 | 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 | arXiv
 
[152]
2021 | 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
 
[151]
2021 | 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
 
[150]
2021 | 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
 
[149]
2021 | 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
 
[148]
2021 | Journal Article | IST-REx-ID: 10537 | OA
Benedikter, Niels P., et al. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré, Springer Nature, 2021, doi:10.1007/s00023-021-01136-y.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[147]
2021 | 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
 
[146]
2021 | 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
 
[145]
2021 | 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
 
[144]
2021 | 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.
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[143]
2021 | 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
 
[142]
2021 | 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
 
[141]
2021 | Preprint | IST-REx-ID: 9791 | OA
Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, 2107.03720.
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[140]
2020 | 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
 
[139]
2020 | 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
 
[138]
2020 | 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
 
[137]
2020 | 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
 
[136]
2020 | 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
 
[135]
2020 | 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
 
[134]
2020 | 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
 
[133]
2020 | 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 & Applied Mathematics , 2020, pp. 605–22, doi:10.1137/19m126284x.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[132]
2020 | 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
 
[131]
2020 | 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
 
[130]
2020 | 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
 
[129]
2019 | 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
 
[128]
2019 | 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
 
[127]
2019 | 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, ArXiv.
[Preprint] View | Files available | Download Preprint (ext.)
 
[126]
2019 | 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
 
[125]
2019 | 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.
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[124]
2018 | 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
 
[123]
2018 | 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
 
[122]
2018 | 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
 
[121]
2017 | 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 | 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
 
[119]
2017 | 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 | 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.
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[117]
2016 | 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
 
[116]
2016 | 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
 
[115]
2016 | 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 Ltd., 2016, doi:10.1088/1742-6596/691/1/012016.
[Published Version] View | Files available | DOI
 
[114]
2016 | 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 | 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 Ltd., 2016, doi:10.1088/1367-2630/18/3/035002.
[Published Version] View | Files available | DOI
 
[112]
2016 | 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.
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[111]
2016 | 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.)
 
[110]
2015 | 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.
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[109]
2015 | 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.
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[108]
2015 | 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 | Download Preprint (ext.)
 
[107]
2015 | 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 Ltd., 2015, doi:10.1088/1367-2630/17/1/013022.
[Published Version] View | Files available | DOI
 
[106]
2015 | 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.
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[105]
2014 | 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
 
[104]
2014 | 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
 
[103]
2014 | 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.
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[102]
2014 | 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 | 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.)
 
[100]
2014 | 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.)
 
[99]
2014 | 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
 
[98]
2014 | 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 Ltd., 2014, doi:10.1209/0295-5075/108/20003.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[97]
2014 | 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.)
 
[96]
2014 | 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.)
 
[95]
2014 | 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
 
[94]
2014 | 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.)
 
[93]
2014 | 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
 
[92]
2013 | 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 | 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 | 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 | 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 | 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 | 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
 
[86]
2013 | 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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[85]
2013 | 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 | 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.)
 
[83]
2012 | 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 | 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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[81]
2012 | 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
 
[80]
2012 | 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
 
[79]
2012 | 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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[78]
2012 | 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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[77]
2012 | 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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[76]
2012 | 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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[75]
2012 | 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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[74]
2012 | 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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[73]
2012 | 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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[72]
2012 | 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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[71]
2011 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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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[62]
2010 | 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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[61]
2009 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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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[53]
2008 | 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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[52]
2008 | 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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[51]
2008 | 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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[50]
2008 | 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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[49]
2008 | 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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[48]
2008 | 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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[47]
2008 | 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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[46]
2008 | 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 | 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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[44]
2008 | 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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[43]
2007 | 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 | 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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[41]
2007 | 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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[40]
2007 | 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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[39]
2007 | 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 | 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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[37]
2006 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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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[25]
2005 | 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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[24]
2004 | 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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[23]
2004 | 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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[22]
2004 | 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 | 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 | 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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[19]
2003 | 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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[18]
2003 | 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 | 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
 
[16]
2002 | 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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[15]
2002 | 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 | 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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[13]
2002 | 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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[12]
2002 | 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
 
[11]
2002 | 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
 
[10]
2001 | 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
 
[9]
2001 | 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
 
[8]
2001 | 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 | 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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[6]
2001 | 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
 
[5]
2001 | 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
 
[4]
2000 | 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.
View | DOI
 
[3]
2000 | 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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[2]
2000 | 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
 
[1]
2000 | 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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[169]
2024 | 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 | DOI | Download Published Version (ext.) | arXiv
 
[168]
2023 | 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
 
[167]
2023 | 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
 
[166]
2023 | 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
 
[165]
2023 | 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
 
[164]
2023 | 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.
View | Files available | DOI | arXiv
 
[163]
2023 | 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
 
[162]
2023 | Journal Article | IST-REx-ID: 14854
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.
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[161]
2023 | 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
 
[160]
2023 | 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
 
[159]
2022 | 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
 
[158]
2022 | 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 | 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 | 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
 
[155]
2022 | 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]
2021 | 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
 
[153]
2021 | 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 | arXiv
 
[152]
2021 | 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
 
[151]
2021 | 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
 
[150]
2021 | 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
 
[149]
2021 | 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
 
[148]
2021 | Journal Article | IST-REx-ID: 10537 | OA
Benedikter, Niels P., et al. “Bosonization of Fermionic Many-Body Dynamics.” Annales Henri Poincaré, Springer Nature, 2021, doi:10.1007/s00023-021-01136-y.
[Preprint] View | DOI | Download Preprint (ext.) | WoS | arXiv
 
[147]
2021 | 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
 
[146]
2021 | 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
 
[145]
2021 | 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
 
[144]
2021 | 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.
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[143]
2021 | 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
 
[142]
2021 | 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
 
[141]
2021 | Preprint | IST-REx-ID: 9791 | OA
Feliciangeli, Dario, et al. “The Effective Mass Problem for the Landau-Pekar Equations.” ArXiv, 2107.03720.
[Preprint] View | Files available | Download Preprint (ext.) | arXiv
 
[140]
2020 | 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
 
[139]
2020 | 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
 
[138]
2020 | 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
 
[137]
2020 | 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
 
[136]
2020 | 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
 
[135]
2020 | 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
 
[134]
2020 | 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
 
[133]
2020 | 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 & Applied Mathematics , 2020, pp. 605–22, doi:10.1137/19m126284x.
[Preprint] View | Files available | DOI | Download Preprint (ext.) | WoS | arXiv
 
[132]
2020 | 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
 
[131]
2020 | 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
 
[130]
2020 | 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
 
[129]
2019 | 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
 
[128]
2019 | 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
 
[127]
2019 | 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, ArXiv.
[Preprint] View | Files available | Download Preprint (ext.)
 
[126]
2019 | 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
 
[125]
2019 | 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
 
[124]
2018 | 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
 
[123]
2018 | 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
 
[122]
2018 | 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
 
[121]
2017 | 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 | 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
 
[119]
2017 | 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 | 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.)
 
[117]
2016 | 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
 
[116]
2016 | 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
 
[115]
2016 | 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 Ltd., 2016, doi:10.1088/1742-6596/691/1/012016.
[Published Version] View | Files available | DOI
 
[114]
2016 | 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 | 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 Ltd., 2016, doi:10.1088/1367-2630/18/3/035002.
[Published Version] View | Files available | DOI
 
[112]
2016 | 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.)
 
[111]
2016 | 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.)
 
[110]
2015 | 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.)
 
[109]
2015 | 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.)
 
[108]
2015 | 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 | Download Preprint (ext.)
 
[107]
2015 | 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 Ltd., 2015, doi:10.1088/1367-2630/17/1/013022.
[Published Version] View | Files available | DOI
 
[106]
2015 | 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.)
 
[105]
2014 | 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
 
[104]
2014 | 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
 
[103]
2014 | 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 | 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 | 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.)
 
[100]
2014 | 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.)
 
[99]
2014 | 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
 
[98]
2014 | 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 Ltd., 2014, doi:10.1209/0295-5075/108/20003.
[Submitted Version] View | DOI | Download Submitted Version (ext.)
 
[97]
2014 | 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.)
 
[96]
2014 | 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.)
 
[95]
2014 | 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
 
[94]
2014 | 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.)
 
[93]
2014 | 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
 
[92]
2013 | 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 | 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 | 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 | 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 | 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 | 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
 
[86]
2013 | 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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[85]
2013 | 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 | 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.)
 
[83]
2012 | 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 | 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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[81]
2012 | 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
 
[80]
2012 | 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
 
[79]
2012 | 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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[78]
2012 | 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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[77]
2012 | 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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[76]
2012 | 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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[75]
2012 | 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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[74]
2012 | 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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[73]
2012 | 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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[72]
2012 | 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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[71]
2011 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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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[62]
2010 | 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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[61]
2009 | Book | IST-REx-ID: 2326
Lieb, Élliott, and Robert Seiringer. The Stability of Matter in Quantum Mechanics. Cambridge University Press, 2009.
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[60]
2009 | 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 | 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 | 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 | 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 | 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 | 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 | 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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[53]
2008 | 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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[52]
2008 | 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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[51]
2008 | 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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[50]
2008 | 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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[49]
2008 | 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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[48]
2008 | 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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[47]
2008 | 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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[46]
2008 | 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 | 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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[44]
2008 | 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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[43]
2007 | 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 | 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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[41]
2007 | 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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[40]
2007 | 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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[39]
2007 | 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 | 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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[37]
2006 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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 | 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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[25]
2005 | 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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[24]
2004 | 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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[23]
2004 | 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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[22]
2004 | 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 | 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 | 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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[19]
2003 | 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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[18]
2003 | 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 | 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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[16]
2002 | 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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[15]
2002 | 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 | 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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[13]
2002 | 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
 
[12]
2002 | 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
 
[11]
2002 | 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
 
[10]
2001 | 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
 
[9]
2001 | 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
 
[8]
2001 | 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 | 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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[6]
2001 | 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
 
[5]
2001 | 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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[4]
2000 | 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 | 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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[2]
2000 | 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
 
[1]
2000 | 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
 

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