126 Publications

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[126]
2019 | Journal Article | IST-REx-ID: 6649   OA
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.
View | Files available | DOI | arXiv
 
[125]
2019 | Journal Article | IST-REx-ID: 7015   OA
Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B 100, no. 3 (2019): 035127. https://doi.org/10.1103/physrevb.100.035127.
View | DOI | Download (ext.) | arXiv
 
[124]
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, 2019. https://doi.org/10.1007/s00023-018-00757-0.
View | Files available | DOI | arXiv
 
[123]
2018 | Journal Article | IST-REx-ID: 80   OA
Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics, 2018. https://doi.org/10.1007/s00220-018-3239-0.
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[122]
2018 | Journal Article | IST-REx-ID: 295   OA
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.
View | Files available | DOI | arXiv
 
[121]
2018 | Journal Article | IST-REx-ID: 180   OA
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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[120]
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 21, no. 19 (2018). https://doi.org/10.1007/s11040-018-9275-3.
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[119]
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 107, no. 3 (2017): 533–52. https://doi.org/10.1007/s11005-016-0915-x.
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[118]
2017 | Journal Article | IST-REx-ID: 1120   OA
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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[117]
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 356, no. 1 (2017): 329–55. https://doi.org/10.1007/s00220-017-2980-0.
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[116]
2016 | Journal Article | IST-REx-ID: 1143   OA
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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[115]
2016 | Journal Article | IST-REx-ID: 1422   OA
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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[114]
2016 | Conference Paper | IST-REx-ID: 1428   OA
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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[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 18, no. 3 (2016). https://doi.org/10.1088/1367-2630/18/3/035002.
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[112]
2016 | Journal Article | IST-REx-ID: 1620   OA
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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[111]
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 57, no. 2 (2016). https://doi.org/10.1063/1.4941723.
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[110]
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 347, no. 3 (2016): 983–1007. https://doi.org/10.1007/s00220-016-2665-0.
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[109]
2016 | Journal Article | IST-REx-ID: 1259   OA
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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[108]
2015 | Journal Article | IST-REx-ID: 1572   OA
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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[107]
2015 | Journal Article | IST-REx-ID: 1573   OA
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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[106]
2015 | Journal Article | IST-REx-ID: 1880   OA
Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason. “Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” New Journal of Physics 17 (2015). https://doi.org/10.1088/1367-2630/17/1/013022.
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[105]
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 215, no. 2 (2015): 381–417. https://doi.org/10.1007/s00205-014-0781-6.
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[104]
2015 | Journal Article | IST-REx-ID: 1704   OA
Deuchert, Andreas, Christian Hainzl, and Robert Seiringer. “Note on a Family of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics 105, no. 10 (2015): 1449–66. https://doi.org/10.1007/s11005-015-0787-5.
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[103]
2014 | Conference Paper | IST-REx-ID: 1516
Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “On the BCS Gap Equation for Superfluid Fermionic Gases.” In Proceedings of the QMath12 Conference, edited by Pavel Exner, Wolfgang König, and Hagen Neidhardt, 127–37. World Scientific Publishing, 2014. https://doi.org/10.1142/9789814618144_0007 .
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[102]
2014 | Journal Article | IST-REx-ID: 1821   OA
Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” Journal of Mathematical Physics 55, no. 7 (2014). https://doi.org/10.1063/1.4881536.
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[101]
2014 | Journal Article | IST-REx-ID: 1889   OA
Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Translation-Invariant Quasi-Free States for Fermionic Systems and the BCS Approximation.” Reviews in Mathematical Physics 26, no. 7 (2014). https://doi.org/10.1142/S0129055X14500123.
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[100]
2014 | Journal Article | IST-REx-ID: 1935   OA
Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Formation of Stripes and Slabs near the Ferromagnetic Transition.” Communications in Mathematical Physics 331, no. 1 (2014): 333–50. https://doi.org/10.1007/s00220-014-1923-2.
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[99]
2014 | Journal Article | IST-REx-ID: 1822
Jakšić, Vojkan, Claude Pillet, and Robert Seiringer. “Introduction.” Journal of Mathematical Physics 55, no. 7 (2014). https://doi.org/10.1063/1.4884877.
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[98]
2014 | Journal Article | IST-REx-ID: 1904   OA
Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Strichartz Inequality for Orthonormal Functions.” Journal of the European Mathematical Society 16, no. 7 (2014): 1507–26. https://doi.org/10.4171/JEMS/467.
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[97]
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 104, no. 2 (2014): 141–56. https://doi.org/10.1007/s11005-013-0667-9.
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[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 154, no. 1–2 (2014): 51–57. https://doi.org/10.1007/s10955-013-0791-z.
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[95]
2014 | Journal Article | IST-REx-ID: 2186   OA
Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” Letters in Mathematical Physics 104, no. 7 (2014): 871–91. https://doi.org/10.1007/s11005-014-0693-2.
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[94]
2014 | Journal Article | IST-REx-ID: 1918   OA
Bellazzini, Jacopo, Rupert Frank, Élliott Lieb, and Robert Seiringer. “Existence of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical Physics 26, no. 1 (2014). https://doi.org/10.1142/S0129055X13500219.
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[93]
2014 | Journal Article | IST-REx-ID: 2029   OA
Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL 108, no. 2 (2014). https://doi.org/10.1209/0295-5075/108/20003.
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[92]
2013 | Journal Article | IST-REx-ID: 2405   OA
Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Symmetry of Bipolaron Bound States for Small Coulomb Repulsion.” Communications in Mathematical Physics 319, no. 2 (2013): 557–73. https://doi.org/10.1007/s00220-012-1604-y.
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[91]
2013 | Journal Article | IST-REx-ID: 2406
Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Condensation of Interacting Bosons in a Random Potential.” European Physical Journal: Special Topics 217, no. 1 (2013): 103–7. https://doi.org/10.1140/epjst/e2013-01759-5.
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[90]
2013 | Journal Article | IST-REx-ID: 2297   OA
Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.” Japanese Journal of Mathematics 8, no. 2 (2013): 185–232. https://doi.org/10.1007/s11537-013-1264-5.
View | DOI | Download (ext.) | arXiv
 
[89]
2013 | Journal Article | IST-REx-ID: 2300   OA
Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Realization of Stripes and Slabs in Two and Three Dimensions.” Physical Review B 88, no. 6 (2013): 064401. https://doi.org/10.1103/PhysRevB.88.064401.
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[88]
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 322, no. 2 (2013): 559–91. https://doi.org/10.1007/s00220-013-1736-8.
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[87]
2013 | Conference Paper | IST-REx-ID: 2319   OA
Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “ Derivation of Ginzburg-Landau Theory for a One-Dimensional System with Contact Interaction,” 57–88. Springer, 2013. https://doi.org/10.1007/978-3-0348-0531-5_3.
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[86]
2013 | Journal Article | IST-REx-ID: 2404   OA
Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “A Positive Density Analogue of the Lieb-Thirring Inequality.” Duke Mathematical Journal 162, no. 3 (2013): 435–95. https://doi.org/10.1215/00127094-2019477.
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[85]
2013 | Conference Paper | IST-REx-ID: 2315   OA
Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered Bose-Einstein Condensates with Interaction,” 610–19. World Scientific Publishing, 2013. https://doi.org/10.1142/9789814449243_0063.
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[84]
2012 | Conference Paper | IST-REx-ID: 2316   OA
Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Ground State Properties of Multi-Polaron Systems,” 477–85. World Scientific Publishing, 2012. https://doi.org/10.1142/9789814449243_0045.
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[83]
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 100, no. 2 (2012): 119–38. https://doi.org/10.1007/s11005-011-0535-4.
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[82]
2012 | Journal Article | IST-REx-ID: 2400   OA
Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Binding of Polarons and Atoms at Threshold.” Communications in Mathematical Physics 313, no. 2 (2012): 405–24. https://doi.org/10.1007/s00220-012-1436-9.
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[81]
2012 | Book Review | IST-REx-ID: 2398   OA
Jakšić, Vojkan, Yoshiko Ogata, Claude Pillet, and Robert Seiringer. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical Physics. World Scientific Publishing, 2012. https://doi.org/10.1142/S0129055X12300026.
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[80]
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 149, no. 1 (2012): 86–91. https://doi.org/10.1007/s10955-012-0585-8.
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[79]
2012 | Conference Paper | IST-REx-ID: 2317   OA
Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of the Ginzburg-Landau Model,” 575–83. World Scientific Publishing, 2012. https://doi.org/10.1142/9789814449243_0060.
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[78]
2012 | Journal Article | IST-REx-ID: 2394
Freiji, Abraham, Christian Hainzl, and Robert Seiringer. “The Gap Equation for Spin-Polarized Fermions.” Journal of Mathematical Physics 53, no. 1 (2012). https://doi.org/10.1063/1.3670747.
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[77]
2012 | Book Chapter | IST-REx-ID: 2399
Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” In Quantum Many Body Systems, edited by Vincent Rivasseau, Robert Seiringer, Jan Solovej, and Thomas Spencer, 2051:55–92. Springer, 2012. https://doi.org/10.1007/978-3-642-29511-9_2.
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[76]
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 53, no. 9 (2012). https://doi.org/10.1063/1.3697416.
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[75]
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 2, no. 3 (2012): 321–28. https://doi.org/10.4171/JST/31.
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[74]
2012 | Journal Article | IST-REx-ID: 2395   OA
Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of Ginzburg-Landau Theory.” Journal of the American Mathematical Society 25, no. 3 (2012): 667–713. https://doi.org/10.1090/S0894-0347-2012-00735-8.
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[73]
2012 | Journal Article | IST-REx-ID: 2403   OA
Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical Mechanics Theory and Experiment 2012, no. 11 (2012). https://doi.org/10.1088/1742-5468/2012/11/P11007.
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[72]
2012 | Journal Article | IST-REx-ID: 2396   OA
Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” Letters in Mathematical Physics 100, no. 3 (2012): 237–43. https://doi.org/10.1007/s11005-012-0566-5.
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[71]
2011 | Journal Article | IST-REx-ID: 2393   OA
Seiringer, Robert. “The Excitation Spectrum for Weakly Interacting Bosons.” Communications in Mathematical Physics 306, no. 2 (2011): 565–78. https://doi.org/10.1007/s00220-011-1261-6.
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[70]
2011 | Conference Paper | IST-REx-ID: 2320   OA
Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Binding, Stability, and Non-Binding of Multi-Polaron Systems,” 21–32. World Scientific Publishing, 2011. https://doi.org/10.1142/9789814350365_0002.
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[69]
2011 | Journal Article | IST-REx-ID: 2390   OA
Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Stability and Absence of Binding for Multi-Polaron Systems.” Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113, no. 1 (2011): 39–67. https://doi.org/10.1007/s10240-011-0031-5.
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[68]
2011 | Conference Paper | IST-REx-ID: 2321   OA
Frank, Rupert, Ari Laptev, and Robert Seiringer. “ A Sharp Bound on Eigenvalues of Schrödinger Operators on the Halfline with Complex-Valued Potentials,” 214:39–44. Springer, 2011. https://doi.org/10.1007/978-3-7643-9994-8_3.
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[67]
2011 | Journal Article | IST-REx-ID: 2391   OA
Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Energy Cost to Make a Hole in the Fermi Sea.” Physical Review Letters 106, no. 15 (2011). https://doi.org/10.1103/PhysRevLett.106.150402.
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[66]
2010 | Conference Paper | IST-REx-ID: 2323   OA
Seiringer, Robert. “Hot Topics on Cold Gases,” 231–45. World Scientific Publishing, 2010. https://doi.org/10.1142/9789814304634_0013.
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[65]
2010 | Journal Article | IST-REx-ID: 2392   OA
Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Bipolaron and N-Polaron Binding Energies.” Physical Review Letters 104, no. 21 (2010). https://doi.org/10.1103/PhysRevLett.104.210402.
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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.” In Around the Research of Vladimir Maz’ya I, 11:161–67. Springer, 2010. https://doi.org/10.1007/978-1-4419-1341-8_6.
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[63]
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 283, no. 3 (2010): 489–99. https://doi.org/10.1002/mana.200810195.
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[62]
2010 | Conference Paper | IST-REx-ID: 2322   OA
Frank, Rupert, Élliott Lieb, and Robert Seiringer. “ Equivalence of Sobolev Inequalities and Lieb-Thirring Inequalities,” 523–35. World Scientific Publishing, 2010. https://doi.org/10.1142/9789814304634_0045 .
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[61]
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,” 500:101–4. American Mathematical Society, 2009. https://doi.org/10.1090/conm/500/09823.
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[60]
2009 | Journal Article | IST-REx-ID: 2385   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.” Physical Review A - Atomic, Molecular, and Optical Physics 79, no. 6 (2009). https://doi.org/10.1103/PhysRevA.79.063626.
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[59]
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 80, no. 1 (2009). https://doi.org/10.1103/PhysRevB.80.014502.
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[58]
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 137, no. 5 (2009): 1040–62. https://doi.org/10.1007/s10955-009-9833-y.
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[57]
2009 | Journal Article | IST-REx-ID: 2388   OA
Predd, Joel, Robert Seiringer, Élliott Lieb, Daniel Osherson, Harold Poor, and Sanjeev Kulkarni. “Probabilistic Coherence and Proper Scoring Rules.” IEEE Transactions on Information Theory 55, no. 10 (2009): 4786–92. https://doi.org/10.1109/TIT.2009.2027573.
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[56]
2009 | Book | IST-REx-ID: 2326
Lieb, Élliott, and Robert Seiringer. The Stability of Matter in Quantum Mechanics. The Stability of Matter in Quantum Mechanics. Cambridge University Press, 2009.
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[55]
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 135, no. 5–6 (2009): 915–34. https://doi.org/10.1007/s10955-009-9718-0.
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[54]
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 131, no. 6 (2008): 1139–54. https://doi.org/10.1007/s10955-008-9527-x.
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[53]
2008 | Journal Article | IST-REx-ID: 2380   OA
Hainzl, Christian, Eman Hamza, Robert Seiringer, and Jan Solovej. “The BCS Functional for General Pair Interactions.” Communications in Mathematical Physics 281, no. 2 (2008): 349–67. https://doi.org/10.1007/s00220-008-0489-2.
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[52]
2008 | Conference Paper | IST-REx-ID: 2331   OA
Hainzl, Christian, and Robert Seiringer. “ Spectral Properties of the BCS Gap Equation of Superfluidity,” 117–36. World Scientific Publishing, 2008. https://doi.org/10.1142/9789812832382_0009.
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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 279, no. 3 (2008): 595–636. https://doi.org/10.1007/s00220-008-0428-2.
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[50]
2008 | Journal Article | IST-REx-ID: 2379   OA
Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Hardy-Lieb-Thirring Inequalities for Fractional Schrödinger Operators.” Journal of the American Mathematical Society 21, no. 4 (2008): 925–50. https://doi.org/10.1090/S0894-0347-07-00582-6.
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[49]
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 255, no. 12 (2008): 3407–30. https://doi.org/10.1016/j.jfa.2008.05.015.
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[48]
2008 | Conference Paper | IST-REx-ID: 2332   OA
Seiringer, Robert. “Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases,” 241–54. World Scientific Publishing, 2008. https://doi.org/10.1142/9789812832382_0017.
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[47]
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 284, no. 2 (2008): 459–79. https://doi.org/10.1007/s00220-008-0521-6.
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[46]
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 77, no. 18 (2008). https://doi.org/10.1103/PhysRevB.77.184517.
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[45]
2008 | Journal Article | IST-REx-ID: 2383   OA
Hainzl, Christian, Mathieu Lewin, and Robert Seiringer. “A Nonlinear Model for Relativistic Electrons at Positive Temperature.” Reviews in Mathematical Physics 20, no. 10 (2008): 1283–1307. https://doi.org/10.1142/S0129055X08003547.
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[44]
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 84, no. 2–3 (2008): 99–107. https://doi.org/10.1007/s11005-008-0242-y.
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[43]
2007 | Journal Article | IST-REx-ID: 2373   OA
Frank, Rupert, Christian Hainzl, Serguei Naboko, and Robert Seiringer. “The Critical Temperature for the BCS Equation at Weak Coupling.” Journal of Geometric Analysis 17, no. 4 (2007): 559–67. https://doi.org/10.1007/BF02937429.
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[42]
2007 | Journal Article | IST-REx-ID: 2367   OA
Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.” Letters in Mathematical Physics 80, no. 3 (2007): 285–88. https://doi.org/10.1007/s11005-007-0159-x.
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[41]
2007 | Journal Article | IST-REx-ID: 2370   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bose-Einstein Condensation and Spontaneous Symmetry Breaking.” Reports on Mathematical Physics 59, no. 3 (2007): 389–99. https://doi.org/10.1016/S0034-4877(07)80074-7.
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[40]
2007 | Journal Article | IST-REx-ID: 2375   OA
Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials.” Letters in Mathematical Physics 82, no. 2–3 (2007): 107–16. https://doi.org/10.1007/s11005-007-0211-x.
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[39]
2007 | Journal Article | IST-REx-ID: 2371   OA
Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Stability of Relativistic Matter with Magnetic Fields for Nuclear Charges up to the Critical Value.” Communications in Mathematical Physics 275, no. 2 (2007): 479–89. https://doi.org/10.1007/s00220-007-0307-2.
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[38]
2007 | Journal Article | IST-REx-ID: 2372   OA
Frank, Rupert, Élliott Lieb, Robert Seiringer, and Heinz Siedentop. “Müller’s Exchange-Correlation Energy in Density-Matrix-Functional Theory.” Physical Review A - Atomic, Molecular, and Optical Physics 76, no. 5 (2007). https://doi.org/10.1103/PhysRevA.76.052517.
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[37]
2006 | Journal Article | IST-REx-ID: 2366   OA
Frank, Rupert, Ari Laptev, Élliott Lieb, and Robert Seiringer. “Lieb-Thirring Inequalities for Schrödinger Operators with Complex-Valued Potentials.” Letters in Mathematical Physics 77, no. 3 (2006): 309–16. https://doi.org/10.1007/s11005-006-0095-1.
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[36]
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. Springer, 2006. https://doi.org/10.1007/s00220-006-1524-9.
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[35]
2006 | Book Chapter | IST-REx-ID: 2368
Seiringer, Robert. “Dilute, Trapped Bose Gases and Bose-Einstein Condensation.” In Large Coulomb Systems, edited by Jan Dereziński and Heinz Siedentop, 695:249–74. Springer, 2006. https://doi.org/10.1007/3-540-32579-4_6.
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[34]
2006 | Conference Paper | IST-REx-ID: 2333   OA
Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground-State Energy of a Dilute Fermi Gas,” 412:239–48. American Mathematical Society, 2006. https://doi.org/10.1090/conm/412.
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[33]
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 18, no. 3 (2006): 233–53. https://doi.org/10.1142/S0129055X06002632.
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[32]
2006 | Book Chapter | IST-REx-ID: 2369   OA
Aizenman, Michael, Élliott Lieb, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice.” In Mathematical Physics of Quantum Mechanics, edited by Joachim Asch and Alain Joye, 690:199–215. Springer, 2006. https://doi.org/10.1007/b11573432.
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[31]
2006 | Conference Paper | IST-REx-ID: 2334   OA
Seiringer, Robert, Élliott Lieb, and Jakob Yngvason. “One-Dimensional Behavior of Dilute, Trapped Bose Gases in Traps.” edited by Jean Zambrini. World Scientific Publishing, 2006. https://doi.org/10.1007/s00220-003-0993-3.
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[30]
2006 | Journal Article | IST-REx-ID: 2365   OA
Seiringer, Robert. “The Thermodynamic Pressure of a Dilute Fermi Gas.” Communications in Mathematical Physics 261, no. 3 (2006): 729–57. https://doi.org/10.1007/s00220-005-1433-3.
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[29]
2005 | Book | IST-REx-ID: 2335   OA
Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. The Mathematics of the Bose Gas and Its Condensation. The Mathematics of the Bose Gas and Its Condensation. Vol. 34. Birkhäuser, 2005.
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[28]
2005 | Journal Article | IST-REx-ID: 2359   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Justification of C-Number Substitutions in Bosonic Hamiltonians.” Physical Review Letters 94, no. 8 (2005). https://doi.org/10.1103/PhysRevLett.94.080401.
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[27]
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 71, no. 6 (2005). https://doi.org/10.1103/PhysRevA.71.062329.
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[26]
2005 | Book Chapter | IST-REx-ID: 2336   OA
Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “The Quantum-Mechanical Many-Body Problem: The Bose Gas.” In Perspectives in Analysis, edited by Michael Benedicks, Peter Jones, Stanislav Smirnov, and Björn Winckler, 27:97–183. Springer, 2005. https://doi.org/10.1007/3-540-30434-7_9.
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[25]
2005 | Journal Article | IST-REx-ID: 2362   OA
Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground State Energy of the Low Density Fermi Gas.” Physical Review A - Atomic, Molecular, and Optical Physics 71, no. 5 (2005). https://doi.org/10.1103/PhysRevA.71.053605.
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[24]
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 115, no. 1–2 (2004): 185–90. https://doi.org/10.1023/B:JOSS.0000019811.15510.27.
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[23]
2004 | Journal Article | IST-REx-ID: 2356   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “One-Dimensional Behavior of Dilute, Trapped Bose Gases.” Communications in Mathematical Physics 244, no. 2 (2004): 347–93. https://doi.org/10.1007/s00220-003-0993-3.
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[22]
2004 | Journal Article | IST-REx-ID: 2360   OA
Aizenman, Michael, Élliott Lieb, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “Bose-Einstein Quantum Phase Transition in an Optical Lattice Model.” Physical Review A - Atomic, Molecular, and Optical Physics 70, no. 2 (2004): 023612-1-0236121-2. https://doi.org/10.1103/PhysRevA.70.023612.
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[21]
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 36, no. 37 (2003): 9755–78. https://doi.org/10.1088/0305-4470/36/37/312.
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[20]
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, Rudi Weikard, and Yanni Zeng, 327:239–50. American Mathematical Society, 2003. https://doi.org/10.1090/conm/327/05818.
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[19]
2003 | Journal Article | IST-REx-ID: 2357   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Poincaré Inequalities in Punctured Domains.” Annals of Mathematics 158, no. 3 (2003): 1067–80. https://doi.org/10.4007/annals.2003.158.1067 .
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[18]
2003 | Journal Article | IST-REx-ID: 2358   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “One-Dimensional Bosons in Three-Dimensional Traps.” Physical Review Letters 91, no. 15 (2003): 1504011–14. https://doi.org/10.1103/PhysRevLett.91.150401.
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[17]
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 6, no. 5 (2002): 847–71.
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[16]
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 88, no. 17 (2002): 1704091–94. https://doi.org/10.1103/PhysRevLett.88.170409.
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[15]
2002 | Journal Article | IST-REx-ID: 2351   OA
Seiringer, Robert. “Gross-Pitaevskii Theory of the Rotating Bose Gas.” Communications in Mathematical Physics 229, no. 3 (2002): 491–509. https://doi.org/10.1007/s00220-002-0695-2.
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[14]
2002 | Book Chapter | IST-REx-ID: 2338
Lieb, Élliott, Jan Solovej, Robert Seiringer, and Jakob Yngvason. “The Ground State of the Bose Gas.” In Current Developments in Mathematics, 2001, 131–78. International Press, 2002. http://arxiv.org/abs/math-ph/0204027.
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[13]
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 61, no. 1 (2002): 75–84. https://doi.org/10.1023/A:1020204818938.
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[12]
2002 | Conference Paper | IST-REx-ID: 2339
Seiringer, Robert. “Symmetry Breaking in a Model of a Rotating Bose Gas.” edited by Richardo Weder, Pavel Exner, and Benoit Grébert, 307:281–86. World Scientific Publishing, 2002. https://doi.org/10.1090/conm/307.
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[11]
2002 | Journal Article | IST-REx-ID: 2353   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Superfluidity in Dilute Trapped Bose Gases.” Physical Review B - Condensed Matter and Materials Physics 66, no. 13 (2002). https://doi.org/10.1103/PhysRevB.66.134529.
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[10]
2001 | Journal Article | IST-REx-ID: 2347   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “A Rigorous Derivation of the Gross-Pitaevskii Energy Functional for a Two-Dimensional Bose Gas.” Communications in Mathematical Physics 224, no. 1 (2001): 17–31. https://doi.org/10.1007/s002200100533.
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[9]
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 217, no. 1 (2001): 229–48. https://doi.org/10.1007/s002200100373.
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[8]
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, 126:307–14. Birkhäuser, 2001. https://doi.org/10.1007/978-3-0348-8231-6.
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[7]
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 34, no. 9 (2001): 1943–48. https://doi.org/10.1088/0305-4470/34/9/311.
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[6]
2001 | Journal Article | IST-REx-ID: 2341   OA
Baumgartner, Bernhard, and Robert Seiringer. “Atoms with Bosonic "Electrons" in Strong Magnetic Fields.” Annales Henri Poincare 2, no. 1 (2001): 41–76. https://doi.org/10.1007/PL00001032.
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[5]
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 55, no. 2 (2001): 133–42. https://doi.org/10.1023/A:1010951905548.
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[4]
2000 | Conference Paper | IST-REx-ID: 2342   OA
Seiringer, Robert, Élliott Lieb, and Jakob Yngvason. “The Ground State Energy and Density of Interacting Bosons in a Trap,” 101–10. World Scientific Publishing, 2000.
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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 54, no. 3 (2000): 213–26. https://doi.org/    10.1023/A:1010978807635.
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[2]
2000 | Journal Article | IST-REx-ID: 2344   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional.” Physical Review A - Atomic, Molecular, and Optical Physics 61, no. 4 (2000): 436021–213. https://doi.org/10.1103/PhysRevA.61.043602.
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[1]
2000 | Conference Paper | IST-REx-ID: 2325
Seiringer, Robert. “Inequalities for Schrödinger Operators and Applications to the Stability of Matter Problem ,” 529:53–72. American Mathematical Society, 2000. https://doi.org/10.1090/conm/529.
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[126]
2019 | Journal Article | IST-REx-ID: 6649   OA
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.
View | Files available | DOI | arXiv
 
[125]
2019 | Journal Article | IST-REx-ID: 7015   OA
Lewin, Mathieu, Elliott H. Lieb, and Robert Seiringer. “Floating Wigner Crystal with No Boundary Charge Fluctuations.” Physical Review B 100, no. 3 (2019): 035127. https://doi.org/10.1103/physrevb.100.035127.
View | DOI | Download (ext.) | arXiv
 
[124]
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, 2019. https://doi.org/10.1007/s00023-018-00757-0.
View | Files available | DOI | arXiv
 
[123]
2018 | Journal Article | IST-REx-ID: 80   OA
Deuchert, Andreas, Robert Seiringer, and Jakob Yngvason. “Bose–Einstein Condensation in a Dilute, Trapped Gas at Positive Temperature.” Communications in Mathematical Physics, 2018. https://doi.org/10.1007/s00220-018-3239-0.
View | Files available | DOI
 
[122]
2018 | Journal Article | IST-REx-ID: 295   OA
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.
View | Files available | DOI | arXiv
 
[121]
2018 | Journal Article | IST-REx-ID: 180   OA
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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[120]
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 21, no. 19 (2018). https://doi.org/10.1007/s11040-018-9275-3.
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[119]
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 107, no. 3 (2017): 533–52. https://doi.org/10.1007/s11005-016-0915-x.
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[118]
2017 | Journal Article | IST-REx-ID: 1120   OA
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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[117]
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 356, no. 1 (2017): 329–55. https://doi.org/10.1007/s00220-017-2980-0.
View | Files available | DOI
 
[116]
2016 | Journal Article | IST-REx-ID: 1143   OA
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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[115]
2016 | Journal Article | IST-REx-ID: 1422   OA
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.
View | Files available | DOI
 
[114]
2016 | Conference Paper | IST-REx-ID: 1428   OA
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.
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 18, no. 3 (2016). https://doi.org/10.1088/1367-2630/18/3/035002.
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[112]
2016 | Journal Article | IST-REx-ID: 1620   OA
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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[111]
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 57, no. 2 (2016). https://doi.org/10.1063/1.4941723.
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[110]
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 347, no. 3 (2016): 983–1007. https://doi.org/10.1007/s00220-016-2665-0.
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[109]
2016 | Journal Article | IST-REx-ID: 1259   OA
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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[108]
2015 | Journal Article | IST-REx-ID: 1572   OA
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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[107]
2015 | Journal Article | IST-REx-ID: 1573   OA
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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[106]
2015 | Journal Article | IST-REx-ID: 1880   OA
Könenberg, Martin, Thomas Moser, Robert Seiringer, and Jakob Yngvason. “Superfluid Behavior of a Bose-Einstein Condensate in a Random Potential.” New Journal of Physics 17 (2015). https://doi.org/10.1088/1367-2630/17/1/013022.
View | Files available | DOI
 
[105]
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 215, no. 2 (2015): 381–417. https://doi.org/10.1007/s00205-014-0781-6.
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[104]
2015 | Journal Article | IST-REx-ID: 1704   OA
Deuchert, Andreas, Christian Hainzl, and Robert Seiringer. “Note on a Family of Monotone Quantum Relative Entropies.” Letters in Mathematical Physics 105, no. 10 (2015): 1449–66. https://doi.org/10.1007/s11005-015-0787-5.
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[103]
2014 | Conference Paper | IST-REx-ID: 1516
Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “On the BCS Gap Equation for Superfluid Fermionic Gases.” In Proceedings of the QMath12 Conference, edited by Pavel Exner, Wolfgang König, and Hagen Neidhardt, 127–37. World Scientific Publishing, 2014. https://doi.org/10.1142/9789814618144_0007 .
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[102]
2014 | Journal Article | IST-REx-ID: 1821   OA
Seiringer, Robert. “Bose Gases, Bose-Einstein Condensation, and the Bogoliubov Approximation.” Journal of Mathematical Physics 55, no. 7 (2014). https://doi.org/10.1063/1.4881536.
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[101]
2014 | Journal Article | IST-REx-ID: 1889   OA
Bräunlich, Gerhard, Christian Hainzl, and Robert Seiringer. “Translation-Invariant Quasi-Free States for Fermionic Systems and the BCS Approximation.” Reviews in Mathematical Physics 26, no. 7 (2014). https://doi.org/10.1142/S0129055X14500123.
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[100]
2014 | Journal Article | IST-REx-ID: 1935   OA
Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Formation of Stripes and Slabs near the Ferromagnetic Transition.” Communications in Mathematical Physics 331, no. 1 (2014): 333–50. https://doi.org/10.1007/s00220-014-1923-2.
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[99]
2014 | Journal Article | IST-REx-ID: 1822
Jakšić, Vojkan, Claude Pillet, and Robert Seiringer. “Introduction.” Journal of Mathematical Physics 55, no. 7 (2014). https://doi.org/10.1063/1.4884877.
View | DOI
 
[98]
2014 | Journal Article | IST-REx-ID: 1904   OA
Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Strichartz Inequality for Orthonormal Functions.” Journal of the European Mathematical Society 16, no. 7 (2014): 1507–26. https://doi.org/10.4171/JEMS/467.
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[97]
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 104, no. 2 (2014): 141–56. https://doi.org/10.1007/s11005-013-0667-9.
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[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 154, no. 1–2 (2014): 51–57. https://doi.org/10.1007/s10955-013-0791-z.
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[95]
2014 | Journal Article | IST-REx-ID: 2186   OA
Chen, Thomas, Christian Hainzl, Nataša Pavlović, and Robert Seiringer. “On the Well-Posedness and Scattering for the Gross-Pitaevskii Hierarchy via Quantum de Finetti.” Letters in Mathematical Physics 104, no. 7 (2014): 871–91. https://doi.org/10.1007/s11005-014-0693-2.
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[94]
2014 | Journal Article | IST-REx-ID: 1918   OA
Bellazzini, Jacopo, Rupert Frank, Élliott Lieb, and Robert Seiringer. “Existence of Ground States for Negative Ions at the Binding Threshold.” Reviews in Mathematical Physics 26, no. 1 (2014). https://doi.org/10.1142/S0129055X13500219.
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[93]
2014 | Journal Article | IST-REx-ID: 2029   OA
Correggi, Michele, Alessandro Giuliani, and Robert Seiringer. “Validity of Spin-Wave Theory for the Quantum Heisenberg Model.” EPL 108, no. 2 (2014). https://doi.org/10.1209/0295-5075/108/20003.
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[92]
2013 | Journal Article | IST-REx-ID: 2405   OA
Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Symmetry of Bipolaron Bound States for Small Coulomb Repulsion.” Communications in Mathematical Physics 319, no. 2 (2013): 557–73. https://doi.org/10.1007/s00220-012-1604-y.
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[91]
2013 | Journal Article | IST-REx-ID: 2406
Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Condensation of Interacting Bosons in a Random Potential.” European Physical Journal: Special Topics 217, no. 1 (2013): 103–7. https://doi.org/10.1140/epjst/e2013-01759-5.
View | DOI
 
[90]
2013 | Journal Article | IST-REx-ID: 2297   OA
Seiringer, Robert. “Hot Topics in Cold Gases: A Mathematical Physics Perspective.” Japanese Journal of Mathematics 8, no. 2 (2013): 185–232. https://doi.org/10.1007/s11537-013-1264-5.
View | DOI | Download (ext.) | arXiv
 
[89]
2013 | Journal Article | IST-REx-ID: 2300   OA
Giuliani, Alessandro, Élliott Lieb, and Robert Seiringer. “Realization of Stripes and Slabs in Two and Three Dimensions.” Physical Review B 88, no. 6 (2013): 064401. https://doi.org/10.1103/PhysRevB.88.064401.
View | DOI | Download (ext.) | arXiv
 
[88]
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 322, no. 2 (2013): 559–91. https://doi.org/10.1007/s00220-013-1736-8.
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[87]
2013 | Conference Paper | IST-REx-ID: 2319   OA
Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “ Derivation of Ginzburg-Landau Theory for a One-Dimensional System with Contact Interaction,” 57–88. Springer, 2013. https://doi.org/10.1007/978-3-0348-0531-5_3.
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[86]
2013 | Journal Article | IST-REx-ID: 2404   OA
Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “A Positive Density Analogue of the Lieb-Thirring Inequality.” Duke Mathematical Journal 162, no. 3 (2013): 435–95. https://doi.org/10.1215/00127094-2019477.
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[85]
2013 | Conference Paper | IST-REx-ID: 2315   OA
Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered Bose-Einstein Condensates with Interaction,” 610–19. World Scientific Publishing, 2013. https://doi.org/10.1142/9789814449243_0063.
View | DOI | Download (ext.) | arXiv
 
[84]
2012 | Conference Paper | IST-REx-ID: 2316   OA
Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Ground State Properties of Multi-Polaron Systems,” 477–85. World Scientific Publishing, 2012. https://doi.org/10.1142/9789814449243_0045.
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[83]
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 100, no. 2 (2012): 119–38. https://doi.org/10.1007/s11005-011-0535-4.
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[82]
2012 | Journal Article | IST-REx-ID: 2400   OA
Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Binding of Polarons and Atoms at Threshold.” Communications in Mathematical Physics 313, no. 2 (2012): 405–24. https://doi.org/10.1007/s00220-012-1436-9.
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[81]
2012 | Book Review | IST-REx-ID: 2398   OA
Jakšić, Vojkan, Yoshiko Ogata, Claude Pillet, and Robert Seiringer. “Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics.” Reviews in Mathematical Physics. World Scientific Publishing, 2012. https://doi.org/10.1142/S0129055X12300026.
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[80]
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 149, no. 1 (2012): 86–91. https://doi.org/10.1007/s10955-012-0585-8.
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[79]
2012 | Conference Paper | IST-REx-ID: 2317   OA
Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of the Ginzburg-Landau Model,” 575–83. World Scientific Publishing, 2012. https://doi.org/10.1142/9789814449243_0060.
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[78]
2012 | Journal Article | IST-REx-ID: 2394
Freiji, Abraham, Christian Hainzl, and Robert Seiringer. “The Gap Equation for Spin-Polarized Fermions.” Journal of Mathematical Physics 53, no. 1 (2012). https://doi.org/10.1063/1.3670747.
View | DOI
 
[77]
2012 | Book Chapter | IST-REx-ID: 2399
Seiringer, Robert. “Cold Quantum Gases and Bose Einstein Condensation.” In Quantum Many Body Systems, edited by Vincent Rivasseau, Robert Seiringer, Jan Solovej, and Thomas Spencer, 2051:55–92. Springer, 2012. https://doi.org/10.1007/978-3-642-29511-9_2.
View | DOI
 
[76]
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 53, no. 9 (2012). https://doi.org/10.1063/1.3697416.
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[75]
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 2, no. 3 (2012): 321–28. https://doi.org/10.4171/JST/31.
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[74]
2012 | Journal Article | IST-REx-ID: 2395   OA
Frank, Rupert, Christian Hainzl, Robert Seiringer, and Jan Solovej. “Microscopic Derivation of Ginzburg-Landau Theory.” Journal of the American Mathematical Society 25, no. 3 (2012): 667–713. https://doi.org/10.1090/S0894-0347-2012-00735-8.
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[73]
2012 | Journal Article | IST-REx-ID: 2403   OA
Seiringer, Robert, Jakob Yngvason, and Valentin Zagrebnov. “Disordered Bose-Einstein Condensates with Interaction in One Dimension.” Journal of Statistical Mechanics Theory and Experiment 2012, no. 11 (2012). https://doi.org/10.1088/1742-5468/2012/11/P11007.
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[72]
2012 | Journal Article | IST-REx-ID: 2396   OA
Landon, Benjamin, and Robert Seiringer. “The Scattering Length at Positive Temperature.” Letters in Mathematical Physics 100, no. 3 (2012): 237–43. https://doi.org/10.1007/s11005-012-0566-5.
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[71]
2011 | Journal Article | IST-REx-ID: 2393   OA
Seiringer, Robert. “The Excitation Spectrum for Weakly Interacting Bosons.” Communications in Mathematical Physics 306, no. 2 (2011): 565–78. https://doi.org/10.1007/s00220-011-1261-6.
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[70]
2011 | Conference Paper | IST-REx-ID: 2320   OA
Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Binding, Stability, and Non-Binding of Multi-Polaron Systems,” 21–32. World Scientific Publishing, 2011. https://doi.org/10.1142/9789814350365_0002.
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[69]
2011 | Journal Article | IST-REx-ID: 2390   OA
Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Stability and Absence of Binding for Multi-Polaron Systems.” Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques 113, no. 1 (2011): 39–67. https://doi.org/10.1007/s10240-011-0031-5.
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[68]
2011 | Conference Paper | IST-REx-ID: 2321   OA
Frank, Rupert, Ari Laptev, and Robert Seiringer. “ A Sharp Bound on Eigenvalues of Schrödinger Operators on the Halfline with Complex-Valued Potentials,” 214:39–44. Springer, 2011. https://doi.org/10.1007/978-3-7643-9994-8_3.
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[67]
2011 | Journal Article | IST-REx-ID: 2391   OA
Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Energy Cost to Make a Hole in the Fermi Sea.” Physical Review Letters 106, no. 15 (2011). https://doi.org/10.1103/PhysRevLett.106.150402.
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[66]
2010 | Conference Paper | IST-REx-ID: 2323   OA
Seiringer, Robert. “Hot Topics on Cold Gases,” 231–45. World Scientific Publishing, 2010. https://doi.org/10.1142/9789814304634_0013.
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[65]
2010 | Journal Article | IST-REx-ID: 2392   OA
Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Bipolaron and N-Polaron Binding Energies.” Physical Review Letters 104, no. 21 (2010). https://doi.org/10.1103/PhysRevLett.104.210402.
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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.” In Around the Research of Vladimir Maz’ya I, 11:161–67. Springer, 2010. https://doi.org/10.1007/978-1-4419-1341-8_6.
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[63]
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 283, no. 3 (2010): 489–99. https://doi.org/10.1002/mana.200810195.
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[62]
2010 | Conference Paper | IST-REx-ID: 2322   OA
Frank, Rupert, Élliott Lieb, and Robert Seiringer. “ Equivalence of Sobolev Inequalities and Lieb-Thirring Inequalities,” 523–35. World Scientific Publishing, 2010. https://doi.org/10.1142/9789814304634_0045 .
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[61]
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,” 500:101–4. American Mathematical Society, 2009. https://doi.org/10.1090/conm/500/09823.
View | DOI
 
[60]
2009 | Journal Article | IST-REx-ID: 2385   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.” Physical Review A - Atomic, Molecular, and Optical Physics 79, no. 6 (2009). https://doi.org/10.1103/PhysRevA.79.063626.
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[59]
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 80, no. 1 (2009). https://doi.org/10.1103/PhysRevB.80.014502.
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[58]
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 137, no. 5 (2009): 1040–62. https://doi.org/10.1007/s10955-009-9833-y.
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[57]
2009 | Journal Article | IST-REx-ID: 2388   OA
Predd, Joel, Robert Seiringer, Élliott Lieb, Daniel Osherson, Harold Poor, and Sanjeev Kulkarni. “Probabilistic Coherence and Proper Scoring Rules.” IEEE Transactions on Information Theory 55, no. 10 (2009): 4786–92. https://doi.org/10.1109/TIT.2009.2027573.
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[56]
2009 | Book | IST-REx-ID: 2326
Lieb, Élliott, and Robert Seiringer. The Stability of Matter in Quantum Mechanics. The Stability of Matter in Quantum Mechanics. Cambridge University Press, 2009.
View
 
[55]
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 135, no. 5–6 (2009): 915–34. https://doi.org/10.1007/s10955-009-9718-0.
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[54]
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 131, no. 6 (2008): 1139–54. https://doi.org/10.1007/s10955-008-9527-x.
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[53]
2008 | Journal Article | IST-REx-ID: 2380   OA
Hainzl, Christian, Eman Hamza, Robert Seiringer, and Jan Solovej. “The BCS Functional for General Pair Interactions.” Communications in Mathematical Physics 281, no. 2 (2008): 349–67. https://doi.org/10.1007/s00220-008-0489-2.
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[52]
2008 | Conference Paper | IST-REx-ID: 2331   OA
Hainzl, Christian, and Robert Seiringer. “ Spectral Properties of the BCS Gap Equation of Superfluidity,” 117–36. World Scientific Publishing, 2008. https://doi.org/10.1142/9789812832382_0009.
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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 279, no. 3 (2008): 595–636. https://doi.org/10.1007/s00220-008-0428-2.
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[50]
2008 | Journal Article | IST-REx-ID: 2379   OA
Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Hardy-Lieb-Thirring Inequalities for Fractional Schrödinger Operators.” Journal of the American Mathematical Society 21, no. 4 (2008): 925–50. https://doi.org/10.1090/S0894-0347-07-00582-6.
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[49]
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 255, no. 12 (2008): 3407–30. https://doi.org/10.1016/j.jfa.2008.05.015.
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[48]
2008 | Conference Paper | IST-REx-ID: 2332   OA
Seiringer, Robert. “Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases,” 241–54. World Scientific Publishing, 2008. https://doi.org/10.1142/9789812832382_0017.
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[47]
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 284, no. 2 (2008): 459–79. https://doi.org/10.1007/s00220-008-0521-6.
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[46]
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 77, no. 18 (2008). https://doi.org/10.1103/PhysRevB.77.184517.
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[45]
2008 | Journal Article | IST-REx-ID: 2383   OA
Hainzl, Christian, Mathieu Lewin, and Robert Seiringer. “A Nonlinear Model for Relativistic Electrons at Positive Temperature.” Reviews in Mathematical Physics 20, no. 10 (2008): 1283–1307. https://doi.org/10.1142/S0129055X08003547.
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[44]
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 84, no. 2–3 (2008): 99–107. https://doi.org/10.1007/s11005-008-0242-y.
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[43]
2007 | Journal Article | IST-REx-ID: 2373   OA
Frank, Rupert, Christian Hainzl, Serguei Naboko, and Robert Seiringer. “The Critical Temperature for the BCS Equation at Weak Coupling.” Journal of Geometric Analysis 17, no. 4 (2007): 559–67. https://doi.org/10.1007/BF02937429.
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[42]
2007 | Journal Article | IST-REx-ID: 2367   OA
Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.” Letters in Mathematical Physics 80, no. 3 (2007): 285–88. https://doi.org/10.1007/s11005-007-0159-x.
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[41]
2007 | Journal Article | IST-REx-ID: 2370   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bose-Einstein Condensation and Spontaneous Symmetry Breaking.” Reports on Mathematical Physics 59, no. 3 (2007): 389–99. https://doi.org/10.1016/S0034-4877(07)80074-7.
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[40]
2007 | Journal Article | IST-REx-ID: 2375   OA
Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials.” Letters in Mathematical Physics 82, no. 2–3 (2007): 107–16. https://doi.org/10.1007/s11005-007-0211-x.
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[39]
2007 | Journal Article | IST-REx-ID: 2371   OA
Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Stability of Relativistic Matter with Magnetic Fields for Nuclear Charges up to the Critical Value.” Communications in Mathematical Physics 275, no. 2 (2007): 479–89. https://doi.org/10.1007/s00220-007-0307-2.
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[38]
2007 | Journal Article | IST-REx-ID: 2372   OA
Frank, Rupert, Élliott Lieb, Robert Seiringer, and Heinz Siedentop. “Müller’s Exchange-Correlation Energy in Density-Matrix-Functional Theory.” Physical Review A - Atomic, Molecular, and Optical Physics 76, no. 5 (2007). https://doi.org/10.1103/PhysRevA.76.052517.
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[37]
2006 | Journal Article | IST-REx-ID: 2366   OA
Frank, Rupert, Ari Laptev, Élliott Lieb, and Robert Seiringer. “Lieb-Thirring Inequalities for Schrödinger Operators with Complex-Valued Potentials.” Letters in Mathematical Physics 77, no. 3 (2006): 309–16. https://doi.org/10.1007/s11005-006-0095-1.
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[36]
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. Springer, 2006. https://doi.org/10.1007/s00220-006-1524-9.
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[35]
2006 | Book Chapter | IST-REx-ID: 2368
Seiringer, Robert. “Dilute, Trapped Bose Gases and Bose-Einstein Condensation.” In Large Coulomb Systems, edited by Jan Dereziński and Heinz Siedentop, 695:249–74. Springer, 2006. https://doi.org/10.1007/3-540-32579-4_6.
View | DOI
 
[34]
2006 | Conference Paper | IST-REx-ID: 2333   OA
Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground-State Energy of a Dilute Fermi Gas,” 412:239–48. American Mathematical Society, 2006. https://doi.org/10.1090/conm/412.
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[33]
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 18, no. 3 (2006): 233–53. https://doi.org/10.1142/S0129055X06002632.
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[32]
2006 | Book Chapter | IST-REx-ID: 2369   OA
Aizenman, Michael, Élliott Lieb, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice.” In Mathematical Physics of Quantum Mechanics, edited by Joachim Asch and Alain Joye, 690:199–215. Springer, 2006. https://doi.org/10.1007/b11573432.
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[31]
2006 | Conference Paper | IST-REx-ID: 2334   OA
Seiringer, Robert, Élliott Lieb, and Jakob Yngvason. “One-Dimensional Behavior of Dilute, Trapped Bose Gases in Traps.” edited by Jean Zambrini. World Scientific Publishing, 2006. https://doi.org/10.1007/s00220-003-0993-3.
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[30]
2006 | Journal Article | IST-REx-ID: 2365   OA
Seiringer, Robert. “The Thermodynamic Pressure of a Dilute Fermi Gas.” Communications in Mathematical Physics 261, no. 3 (2006): 729–57. https://doi.org/10.1007/s00220-005-1433-3.
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[29]
2005 | Book | IST-REx-ID: 2335   OA
Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. The Mathematics of the Bose Gas and Its Condensation. The Mathematics of the Bose Gas and Its Condensation. Vol. 34. Birkhäuser, 2005.
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[28]
2005 | Journal Article | IST-REx-ID: 2359   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Justification of C-Number Substitutions in Bosonic Hamiltonians.” Physical Review Letters 94, no. 8 (2005). https://doi.org/10.1103/PhysRevLett.94.080401.
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[27]
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 71, no. 6 (2005). https://doi.org/10.1103/PhysRevA.71.062329.
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[26]
2005 | Book Chapter | IST-REx-ID: 2336   OA
Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “The Quantum-Mechanical Many-Body Problem: The Bose Gas.” In Perspectives in Analysis, edited by Michael Benedicks, Peter Jones, Stanislav Smirnov, and Björn Winckler, 27:97–183. Springer, 2005. https://doi.org/10.1007/3-540-30434-7_9.
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[25]
2005 | Journal Article | IST-REx-ID: 2362   OA
Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground State Energy of the Low Density Fermi Gas.” Physical Review A - Atomic, Molecular, and Optical Physics 71, no. 5 (2005). https://doi.org/10.1103/PhysRevA.71.053605.
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[24]
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 115, no. 1–2 (2004): 185–90. https://doi.org/10.1023/B:JOSS.0000019811.15510.27.
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[23]
2004 | Journal Article | IST-REx-ID: 2356   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “One-Dimensional Behavior of Dilute, Trapped Bose Gases.” Communications in Mathematical Physics 244, no. 2 (2004): 347–93. https://doi.org/10.1007/s00220-003-0993-3.
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[22]
2004 | Journal Article | IST-REx-ID: 2360   OA
Aizenman, Michael, Élliott Lieb, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “Bose-Einstein Quantum Phase Transition in an Optical Lattice Model.” Physical Review A - Atomic, Molecular, and Optical Physics 70, no. 2 (2004): 023612-1-0236121-2. https://doi.org/10.1103/PhysRevA.70.023612.
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[21]
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 36, no. 37 (2003): 9755–78. https://doi.org/10.1088/0305-4470/36/37/312.
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[20]
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, Rudi Weikard, and Yanni Zeng, 327:239–50. American Mathematical Society, 2003. https://doi.org/10.1090/conm/327/05818.
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[19]
2003 | Journal Article | IST-REx-ID: 2357   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Poincaré Inequalities in Punctured Domains.” Annals of Mathematics 158, no. 3 (2003): 1067–80. https://doi.org/10.4007/annals.2003.158.1067 .
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[18]
2003 | Journal Article | IST-REx-ID: 2358   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “One-Dimensional Bosons in Three-Dimensional Traps.” Physical Review Letters 91, no. 15 (2003): 1504011–14. https://doi.org/10.1103/PhysRevLett.91.150401.
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[17]
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 6, no. 5 (2002): 847–71.
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[16]
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 88, no. 17 (2002): 1704091–94. https://doi.org/10.1103/PhysRevLett.88.170409.
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[15]
2002 | Journal Article | IST-REx-ID: 2351   OA
Seiringer, Robert. “Gross-Pitaevskii Theory of the Rotating Bose Gas.” Communications in Mathematical Physics 229, no. 3 (2002): 491–509. https://doi.org/10.1007/s00220-002-0695-2.
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[14]
2002 | Book Chapter | IST-REx-ID: 2338
Lieb, Élliott, Jan Solovej, Robert Seiringer, and Jakob Yngvason. “The Ground State of the Bose Gas.” In Current Developments in Mathematics, 2001, 131–78. International Press, 2002. http://arxiv.org/abs/math-ph/0204027.
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[13]
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 61, no. 1 (2002): 75–84. https://doi.org/10.1023/A:1020204818938.
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[12]
2002 | Conference Paper | IST-REx-ID: 2339
Seiringer, Robert. “Symmetry Breaking in a Model of a Rotating Bose Gas.” edited by Richardo Weder, Pavel Exner, and Benoit Grébert, 307:281–86. World Scientific Publishing, 2002. https://doi.org/10.1090/conm/307.
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[11]
2002 | Journal Article | IST-REx-ID: 2353   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Superfluidity in Dilute Trapped Bose Gases.” Physical Review B - Condensed Matter and Materials Physics 66, no. 13 (2002). https://doi.org/10.1103/PhysRevB.66.134529.
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[10]
2001 | Journal Article | IST-REx-ID: 2347   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “A Rigorous Derivation of the Gross-Pitaevskii Energy Functional for a Two-Dimensional Bose Gas.” Communications in Mathematical Physics 224, no. 1 (2001): 17–31. https://doi.org/10.1007/s002200100533.
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[9]
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 217, no. 1 (2001): 229–48. https://doi.org/10.1007/s002200100373.
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[8]
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, 126:307–14. Birkhäuser, 2001. https://doi.org/10.1007/978-3-0348-8231-6.
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[7]
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 34, no. 9 (2001): 1943–48. https://doi.org/10.1088/0305-4470/34/9/311.
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[6]
2001 | Journal Article | IST-REx-ID: 2341   OA
Baumgartner, Bernhard, and Robert Seiringer. “Atoms with Bosonic "Electrons" in Strong Magnetic Fields.” Annales Henri Poincare 2, no. 1 (2001): 41–76. https://doi.org/10.1007/PL00001032.
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[5]
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 55, no. 2 (2001): 133–42. https://doi.org/10.1023/A:1010951905548.
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[4]
2000 | Conference Paper | IST-REx-ID: 2342   OA
Seiringer, Robert, Élliott Lieb, and Jakob Yngvason. “The Ground State Energy and Density of Interacting Bosons in a Trap,” 101–10. World Scientific Publishing, 2000.
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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 54, no. 3 (2000): 213–26. https://doi.org/    10.1023/A:1010978807635.
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[2]
2000 | Journal Article | IST-REx-ID: 2344   OA
Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional.” Physical Review A - Atomic, Molecular, and Optical Physics 61, no. 4 (2000): 436021–213. https://doi.org/10.1103/PhysRevA.61.043602.
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[1]
2000 | Conference Paper | IST-REx-ID: 2325
Seiringer, Robert. “Inequalities for Schrödinger Operators and Applications to the Stability of Matter Problem ,” 529:53–72. American Mathematical Society, 2000. https://doi.org/10.1090/conm/529.
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