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67 Publications
2020 | Journal Article | IST-REx-ID: 7508 
Bossmann, Lea, Nataša Pavlović, Peter Pickl, and Avy Soffer. “Higher Order Corrections to the Mean-Field Description of the Dynamics of Interacting Bosons.” Journal of Statistical Physics, 2020. https://doi.org/10.1007/s10955-020-02500-8.
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2019 | Journal Article | IST-REx-ID: 80
Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics 368, no. 2 (2019): 723–76. https://doi.org/10.1007/s00220-018-3239-0.
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2019 | Journal Article | IST-REx-ID: 6840
Mysliwy, Krzysztof, and Marek Napiórkowski. “Thermodynamics of Inhomogeneous Imperfect Quantum Gases in Harmonic Traps.” Journal of Statistical Mechanics: Theory and Experiment 2019, no. 6 (2019). https://doi.org/10.1088/1742-5468/ab190d.
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2019 | Journal Article | IST-REx-ID: 7235
Lieb, Elliott H., and Robert Seiringer. “Divergence of the Effective Mass of a Polaron in the Strong Coupling Limit.” Journal of Statistical Physics, 2019. https://doi.org/10.1007/s10955-019-02322-3.
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2019 | Journal Article | IST-REx-ID: 7413
Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “Bogoliubov Theory in the Gross–Pitaevskii Limit.” Acta Mathematica 222, no. 2 (2019): 219–335. https://doi.org/10.4310/acta.2019.v222.n2.a1.
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2019 | Journal Article | IST-REx-ID: 6649
Benedikter, Niels P, Phan Thành Nam, Marcello Porta, Benjamin Schlein, and Robert Seiringer. “Optimal Upper Bound for the Correlation Energy of a Fermi Gas in the Mean-Field Regime.” Communications in Mathematical Physics, 2019. https://doi.org/10.1007/s00220-019-03505-5.
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2019 | Journal Article | IST-REx-ID: 6788
Leopold, Nikolai K, and Sören P Petrat. “Mean-Field Dynamics for the Nelson Model with Fermions.” Annales Henri Poincare 20, no. 10 (2019): 3471–3508. https://doi.org/10.1007/s00023-019-00828-w.
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2019 | Journal Article | IST-REx-ID: 7015
Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B 100, no. 3 (2019). https://doi.org/10.1103/physrevb.100.035127.
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2019 | Journal Article | IST-REx-ID: 7100
Jeblick, Maximilian, Nikolai K Leopold, and Peter Pickl. “Derivation of the Time Dependent Gross–Pitaevskii Equation in Two Dimensions.” Communications in Mathematical Physics 372, no. 1 (2019): 1–69. https://doi.org/10.1007/s00220-019-03599-x.
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2019 | Journal Article | IST-REx-ID: 5856
Moser, Thomas, and Robert Seiringer. “Energy Contribution of a Point-Interacting Impurity in a Fermi Gas.” Annales Henri Poincare 20, no. 4 (2019): 1325–1365. https://doi.org/10.1007/s00023-018-00757-0.
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2019 | Journal Article | IST-REx-ID: 6906
Boccato, Chiara, Christian Brennecke, Serena Cenatiempo, and Benjamin Schlein. “Optimal Rate for Bose-Einstein Condensation in the Gross-Pitaevskii Regime.” Communications in Mathematical Physics, 2019. https://doi.org/10.1007/s00220-019-03555-9.
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2019 | Journal Article | IST-REx-ID: 7226
Jaksic, Vojkan, and Robert Seiringer. “Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018.” Journal of Mathematical Physics 60, no. 12 (2019). https://doi.org/10.1063/1.5138135.
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2018 | Conference Paper | IST-REx-ID: 11
Leopold, Nikolai K, and Peter Pickl. “Mean-Field Limits of Particles in Interaction with Quantised Radiation Fields,” 270:185–214. Springer, 2018. https://doi.org/10.1007/978-3-030-01602-9_9.
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2018 | Journal Article | IST-REx-ID: 446
Frank, Rupert, Nam Phan Thanh, and Hanne Van Den Bosch. “The Ionization Conjecture in Thomas–Fermi–Dirac–von Weizsäcker Theory.” Communications on Pure and Applied Mathematics 71, no. 3 (2018): 577–614. https://doi.org/10.1002/cpa.21717.
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2018 | Journal Article | IST-REx-ID: 554
Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “The Bogoliubov Free Energy Functional II: The Dilute Limit.” Communications in Mathematical Physics 360, no. 1 (2018): 347–403. https://doi.org/10.1007/s00220-017-3064-x.
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2018 | Journal Article | IST-REx-ID: 295
Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics 108, no. 11 (2018): 2523–41. https://doi.org/10.1007/s11005-018-1091-y.
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2018 | Journal Article | IST-REx-ID: 400
Deuchert, Andreas, Alissa Geisinge, Christian Hainzl, and Michael Loss. “Persistence of Translational Symmetry in the BCS Model with Radial Pair Interaction.” Annales Henri Poincare 19, no. 5 (2018): 1507–27. https://doi.org/10.1007/s00023-018-0665-7.
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2018 | Journal Article | IST-REx-ID: 455
Benedikter, Niels P, Jérémy Sok, and Jan Solovej. “The Dirac–Frenkel Principle for Reduced Density Matrices and the Bogoliubov–de Gennes Equations.” Annales Henri Poincare 19, no. 4 (2018): 1167–1214. https://doi.org/10.1007/s00023-018-0644-z.
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2018 | Journal Article | IST-REx-ID: 5983
Yakaboylu, Enderalp, Bikashkali Midya, Andreas Deuchert, Nikolai K Leopold, and Mikhail Lemeshko. “Theory of the Rotating Polaron: Spectrum and Self-Localization.” Physical Review B 98, no. 22 (2018). https://doi.org/10.1103/physrevb.98.224506.
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2018 | Thesis | IST-REx-ID: 52
Moser, Thomas. Point Interactions in Systems of Fermions. IST Austria, 2018. https://doi.org/10.15479/AT:ISTA:th_1043.
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2018 | Journal Article | IST-REx-ID: 180
Lewi, Mathieu, Élliott Lieb, and Robert Seiringer. “Statistical Mechanics of the Uniform Electron Gas.” Journal de l’Ecole Polytechnique - Mathematiques 5 (2018): 79–116. https://doi.org/10.5802/jep.64.
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2018 | Journal Article | IST-REx-ID: 399
Napiórkowski, Marcin M, Robin Reuvers, and Jan Solovej. “Calculation of the Critical Temperature of a Dilute Bose Gas in the Bogoliubov Approximation.” EPL 121, no. 1 (2018). https://doi.org/10.1209/0295-5075/121/10007.
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2018 | Journal Article | IST-REx-ID: 154
Moser, Thomas, and Robert Seiringer. “Stability of the 2+2 Fermionic System with Point Interactions.” Mathematical Physics Analysis and Geometry 21, no. 3 (2018). https://doi.org/10.1007/s11040-018-9275-3.
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2018 | Journal Article | IST-REx-ID: 6002
Napiórkowski, Marcin M, Robin Reuvers, and Jan Philip Solovej. “The Bogoliubov Free Energy Functional I: Existence of Minimizers and Phase Diagram.” Archive for Rational Mechanics and Analysis 229, no. 3 (2018): 1037–90. https://doi.org/10.1007/s00205-018-1232-6.
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2017 | Journal Article | IST-REx-ID: 484
Nam, Phan, and Marcin M Napiórkowski. “Bogoliubov Correction to the Mean-Field Dynamics of Interacting Bosons.” Advances in Theoretical and Mathematical Physics 21, no. 3 (2017): 683–738. https://doi.org/10.4310/ATMP.2017.v21.n3.a4.
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2017 | Journal Article | IST-REx-ID: 632
Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “A Note on 2D Focusing Many Boson Systems.” Proceedings of the American Mathematical Society 145, no. 6 (2017): 2441–54. https://doi.org/10.1090/proc/13468.
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2017 | Journal Article | IST-REx-ID: 1198
Moser, Thomas, and Robert Seiringer. “Triviality of a Model of Particles with Point Interactions in the Thermodynamic Limit.” Letters in Mathematical Physics 107, no. 3 (2017): 533–52. https://doi.org/10.1007/s11005-016-0915-x.
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2017 | Journal Article | IST-REx-ID: 997
Yakaboylu, Enderalp, Andreas Deuchert, and Mikhail Lemeshko. “Emergence of Non-Abelian Magnetic Monopoles in a Quantum Impurity Problem.” APS Physics, Physical Review Letters 119, no. 23 (2017). https://doi.org/10.1103/PhysRevLett.119.235301.
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2017 | Journal Article | IST-REx-ID: 912
Deuchert, Andreas. “A Lower Bound for the BCS Functional with Boundary Conditions at Infinity.” Journal of Mathematical Physics 58, no. 8 (2017). https://doi.org/10.1063/1.4996580.
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2017 | Journal Article | IST-REx-ID: 1120
Li, Xiang, Robert Seiringer, and Mikhail Lemeshko. “Angular Self-Localization of Impurities Rotating in a Bosonic Bath.” Physical Review A 95, no. 3 (2017). https://doi.org/10.1103/PhysRevA.95.033608.
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2017 | Journal Article | IST-REx-ID: 1079
Nam, Phan, and Hanne Van Den Bosch. “Nonexistence in Thomas Fermi-Dirac-von Weizsäcker Theory with Small Nuclear Charges.” Mathematical Physics, Analysis and Geometry 20, no. 2 (2017). https://doi.org/10.1007/s11040-017-9238-0.
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2017 | Journal Article | IST-REx-ID: 741
Moser, Thomas, and Robert Seiringer. “Stability of a Fermionic N+1 Particle System with Point Interactions.” Communications in Mathematical Physics 356, no. 1 (2017): 329–55. https://doi.org/10.1007/s00220-017-2980-0.
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2017 | Journal Article | IST-REx-ID: 739
Nam, Phan, and Marcin M Napiórkowski. “A Note on the Validity of Bogoliubov Correction to Mean Field Dynamics.” Journal de Mathématiques Pures et Appliquées 108, no. 5 (2017): 662–88. https://doi.org/10.1016/j.matpur.2017.05.013.
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2016 | Journal Article | IST-REx-ID: 1267
Frank, Rupert, Rowan Killip, and Phan Nam. “Nonexistence of Large Nuclei in the Liquid Drop Model.” Letters in Mathematical Physics 106, no. 8 (2016): 1033–36. https://doi.org/10.1007/s11005-016-0860-8.
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2016 | Journal Article | IST-REx-ID: 1143
Nam, Phan, Nicolas Rougerie, and Robert Seiringer. “Ground States of Large Bosonic Systems: The Gross Pitaevskii Limit Revisited.” Analysis and PDE 9, no. 2 (2016): 459–85. https://doi.org/10.2140/apde.2016.9.459.
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2016 | Journal Article | IST-REx-ID: 1491
Lewin, Mathieu, Phan Nam, and Nicolas Rougerie. “The Mean-Field Approximation and the Non-Linear Schrödinger Functional for Trapped Bose Gases.” Transactions of the American Mathematical Society 368, no. 9 (2016): 6131–57. https://doi.org/10.1090/tran/6537.
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2016 | Journal Article | IST-REx-ID: 1422
Frank, Rupert, Christian Hainzl, Benjamin Schlein, and Robert Seiringer. “Incompatibility of Time-Dependent Bogoliubov–de-Gennes and Ginzburg–Landau Equations.” Letters in Mathematical Physics 106, no. 7 (2016): 913–23. https://doi.org/10.1007/s11005-016-0847-5.
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2016 | Journal Article | IST-REx-ID: 1620
Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “The External Field Dependence of the BCS Critical Temperature.” Communications in Mathematical Physics 342, no. 1 (2016): 189–216. https://doi.org/10.1007/s00220-015-2526-2.
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2016 | Conference Paper | IST-REx-ID: 1428
Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason. “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential.” In Journal of Physics: Conference Series, Vol. 691. IOP Publishing Ltd., 2016. https://doi.org/10.1088/1742-6596/691/1/012016.
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2016 | Journal Article | IST-REx-ID: 1478
Seiringer, Robert, and Simone Warzel. “Decay of Correlations and Absence of Superfluidity in the Disordered Tonks-Girardeau Gas.” New Journal of Physics 18, no. 3 (2016). https://doi.org/10.1088/1367-2630/18/3/035002.
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2016 | Journal Article | IST-REx-ID: 1493
Petrat, Sören P, and Peter Pickl. “A New Method and a New Scaling for Deriving Fermionic Mean-Field Dynamics.” Mathematical Physics, Analysis and Geometry 19, no. 1 (2016). https://doi.org/10.1007/s11040-016-9204-2.
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2016 | Journal Article | IST-REx-ID: 1486
Hainzl, Christian, and Robert Seiringer. “The Bardeen–Cooper–Schrieffer Functional of Superconductivity and Its Mathematical Properties.” Journal of Mathematical Physics 57, no. 2 (2016). https://doi.org/10.1063/1.4941723.
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2016 | Journal Article | IST-REx-ID: 1436
Bach, Volker, Sébastien Breteaux, Sören P Petrat, Peter Pickl, and Tim Tzaneteas. “Kinetic Energy Estimates for the Accuracy of the Time-Dependent Hartree-Fock Approximation with Coulomb Interaction.” Journal de Mathématiques Pures et Appliquées 105, no. 1 (2016): 1–30. https://doi.org/10.1016/j.matpur.2015.09.003.
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2016 | Journal Article | IST-REx-ID: 1291
Giuliani, Alessandro, and Robert Seiringer. “Periodic Striped Ground States in Ising Models with Competing Interactions.” Communications in Mathematical Physics 347, no. 3 (2016): 983–1007. https://doi.org/10.1007/s00220-016-2665-0.
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2016 | Journal Article | IST-REx-ID: 1622
Lundholm, Douglas, Phan Nam, and Fabian Portmann. “Fractional Hardy–Lieb–Thirring and Related Inequalities for Interacting Systems.” Archive for Rational Mechanics and Analysis 219, no. 3 (2016): 1343–82. https://doi.org/10.1007/s00205-015-0923-5.
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2016 | Journal Article | IST-REx-ID: 1259
Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Bogolubov–Hartree–Fock Theory for Strongly Interacting Fermions in the Low Density Limit.” Mathematical Physics, Analysis and Geometry 19, no. 2 (2016). https://doi.org/10.1007/s11040-016-9209-x.
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2016 | Journal Article | IST-REx-ID: 1545
Nam, Phan, Marcin M Napiórkowski, and Jan Solovej. “Diagonalization of Bosonic Quadratic Hamiltonians by Bogoliubov Transformations.” Journal of Functional Analysis 270, no. 11 (2016): 4340–68. https://doi.org/10.1016/j.jfa.2015.12.007.
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2015 | Journal Article | IST-REx-ID: 1572
Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity of the Spin-Wave Approximation for the Free Energy of the Heisenberg Ferromagnet.” Communications in Mathematical Physics 339, no. 1 (2015): 279–307. https://doi.org/10.1007/s00220-015-2402-0.
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2015 | Journal Article | IST-REx-ID: 1573
Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer. “Unconditional Uniqueness for the Cubic Gross Pitaevskii Hierarchy via Quantum de Finetti.” Communications on Pure and Applied Mathematics 68, no. 10 (2015): 1845–84. https://doi.org/10.1002/cpa.21552.
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2015 | Journal Article | IST-REx-ID: 1807
Goldman, Michael, and Jimena Royo-Letelier. “Sharp Interface Limit for Two Components Bose-Einstein Condensates.” ESAIM - Control, Optimisation and Calculus of Variations 21, no. 3 (2015): 603–24. https://doi.org/10.1051/cocv/2014040.
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