136 Publications

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[136]
2020 | Journal Article | IST-REx-ID: 7650 | OA
Deuchert, A., & Seiringer, R. (2020). Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis, 236(6), 1217–1271. https://doi.org/10.1007/s00205-020-01489-4
View | DOI | Download Published Version (ext.) | arXiv
 
[135]
2020 | Journal Article | IST-REx-ID: 7790 | OA
Deuchert, A., Mayer, S., & Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma, 8. https://doi.org/10.1017/fms.2020.17
View | Files available | DOI | arXiv
 
[134]
2020 | Preprint | IST-REx-ID: 7901 | OA
Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (n.d.). Correlation energy of a weakly interacting Fermi gas. ArXiv. ArXiv.
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[133]
2020 | Journal Article | IST-REx-ID: 6649 | OA
Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2020). Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics, 374, 2097–2150. https://doi.org/10.1007/s00220-019-03505-5
View | Files available | DOI | arXiv
 
[132]
2020 | Journal Article | IST-REx-ID: 8091 | OA
Seiringer, R., & Yngvason, J. (2020). Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. https://doi.org/10.1007/s10955-020-02586-0
View | Files available | DOI | arXiv
 
[131]
2020 | Journal Article | IST-REx-ID: 8134 | OA
Mayer, S., & Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics, 61(6). https://doi.org/10.1063/5.0005950
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[130]
2020 | Journal Article | IST-REx-ID: 8603
Frank, R., & Seiringer, R. (2020). Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. https://doi.org/10.1002/cpa.21944
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[129]
2019 | Journal Article | IST-REx-ID: 7226 | OA
Jaksic, V., & Seiringer, R. (2019). Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics, 60(12). https://doi.org/10.1063/1.5138135
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[128]
2019 | Journal Article | IST-REx-ID: 7235 | OA
Lieb, E. H., & Seiringer, R. (2019). Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. https://doi.org/10.1007/s10955-019-02322-3
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[127]
2019 | Preprint | IST-REx-ID: 7524 | OA
Deuchert, A., Mayer, S., & Seiringer, R. (n.d.). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. ArXiv:1910.03372. ArXiv.
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[126]
2019 | Journal Article | IST-REx-ID: 5856 | OA
Moser, T., & Seiringer, R. (2019). Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare, 20(4), 1325–1365. https://doi.org/10.1007/s00023-018-00757-0
View | Files available | DOI | arXiv
 
[125]
2019 | Journal Article | IST-REx-ID: 7015 | OA
Lewin, M., Lieb, E. H., & Seiringer, R. (2019). Floating Wigner crystal with no boundary charge fluctuations. Physical Review B, 100(3). https://doi.org/10.1103/physrevb.100.035127
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[124]
2019 | Journal Article | IST-REx-ID: 80 | OA
Deuchert, A., Seiringer, R., & Yngvason, J. (2019). Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics, 368(2), 723–776. https://doi.org/10.1007/s00220-018-3239-0
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[123]
2018 | Journal Article | IST-REx-ID: 295 | OA
Lundholm, D., & Seiringer, R. (2018). Fermionic behavior of ideal anyons. Letters in Mathematical Physics, 108(11), 2523–2541. https://doi.org/10.1007/s11005-018-1091-y
View | Files available | DOI | arXiv
 
[122]
2018 | Journal Article | IST-REx-ID: 154 | OA
Moser, T., & Seiringer, R. (2018). Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry, 21(3). https://doi.org/10.1007/s11040-018-9275-3
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[121]
2018 | Journal Article | IST-REx-ID: 180 | OA
Lewi, M., Lieb, É., & Seiringer, R. (2018). Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques, 5, 79–116. https://doi.org/10.5802/jep.64
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[120]
2017 | Journal Article | IST-REx-ID: 741 | OA
Moser, T., & Seiringer, R. (2017). Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics, 356(1), 329–355. https://doi.org/10.1007/s00220-017-2980-0
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[119]
2017 | Journal Article | IST-REx-ID: 1198 | OA
Moser, T., & Seiringer, R. (2017). Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics, 107(3), 533–552. https://doi.org/10.1007/s11005-016-0915-x
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[118]
2017 | Journal Article | IST-REx-ID: 1120 | OA
Li, X., Seiringer, R., & Lemeshko, M. (2017). Angular self-localization of impurities rotating in a bosonic bath. Physical Review A, 95(3). https://doi.org/10.1103/PhysRevA.95.033608
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[117]
2016 | Journal Article | IST-REx-ID: 1620 | OA
Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2016). The external field dependence of the BCS critical temperature. Communications in Mathematical Physics, 342(1), 189–216. https://doi.org/10.1007/s00220-015-2526-2
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[116]
2016 | Journal Article | IST-REx-ID: 1259 | OA
Bräunlich, G., Hainzl, C., & Seiringer, R. (2016). Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry, 19(2). https://doi.org/10.1007/s11040-016-9209-x
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[115]
2016 | Journal Article | IST-REx-ID: 1291 | OA
Giuliani, A., & Seiringer, R. (2016). Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics, 347(3), 983–1007. https://doi.org/10.1007/s00220-016-2665-0
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[114]
2016 | Journal Article | IST-REx-ID: 1422 | OA
Frank, R., Hainzl, C., Schlein, B., & Seiringer, R. (2016). Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics, 106(7), 913–923. https://doi.org/10.1007/s11005-016-0847-5
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[113]
2016 | Conference Paper | IST-REx-ID: 1428 | OA
Könenberg, M., Moser, T., Seiringer, R., & Yngvason, J. (2016). Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. In Journal of Physics: Conference Series (Vol. 691). Shanghai, China: IOP Publishing Ltd. https://doi.org/10.1088/1742-6596/691/1/012016
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[112]
2016 | Journal Article | IST-REx-ID: 1478 | OA
Seiringer, R., & Warzel, S. (2016). Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics, 18(3). https://doi.org/10.1088/1367-2630/18/3/035002
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[111]
2016 | Journal Article | IST-REx-ID: 1486 | OA
Hainzl, C., & Seiringer, R. (2016). The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics, 57(2). https://doi.org/10.1063/1.4941723
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[110]
2016 | Journal Article | IST-REx-ID: 1143 | OA
Nam, P., Rougerie, N., & Seiringer, R. (2016). Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE, 9(2), 459–485. https://doi.org/10.2140/apde.2016.9.459
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[109]
2015 | Journal Article | IST-REx-ID: 2085 | OA
Nam, P., & Seiringer, R. (2015). Collective excitations of Bose gases in the mean-field regime. Archive for Rational Mechanics and Analysis, 215(2), 381–417. https://doi.org/10.1007/s00205-014-0781-6
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[108]
2015 | Journal Article | IST-REx-ID: 1572 | OA
Correggi, M., Giuliani, A., & Seiringer, R. (2015). Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. Communications in Mathematical Physics, 339(1), 279–307. https://doi.org/10.1007/s00220-015-2402-0
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[107]
2015 | Journal Article | IST-REx-ID: 1573 | OA
Chen, T., Hainzl, C., Pavlović, N., & Seiringer, R. (2015). Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications on Pure and Applied Mathematics, 68(10), 1845–1884. https://doi.org/10.1002/cpa.21552
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[106]
2015 | Journal Article | IST-REx-ID: 1704 | OA
Deuchert, A., Hainzl, C., & Seiringer, R. (2015). Note on a family of monotone quantum relative entropies. Letters in Mathematical Physics, 105(10), 1449–1466. https://doi.org/10.1007/s11005-015-0787-5
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[105]
2015 | Journal Article | IST-REx-ID: 1880 | OA
Könenberg, M., Moser, T., Seiringer, R., & Yngvason, J. (2015). Superfluid behavior of a Bose-Einstein condensate in a random potential. New Journal of Physics, 17. https://doi.org/10.1088/1367-2630/17/1/013022
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[104]
2014 | Journal Article | IST-REx-ID: 2029 | OA
Correggi, M., Giuliani, A., & Seiringer, R. (2014). Validity of spin-wave theory for the quantum Heisenberg model. EPL, 108(2). https://doi.org/10.1209/0295-5075/108/20003
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[103]
2014 | Journal Article | IST-REx-ID: 2186 | OA
Chen, T., Hainzl, C., Pavlović, N., & Seiringer, R. (2014). On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters in Mathematical Physics, 104(7), 871–891. https://doi.org/10.1007/s11005-014-0693-2
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[102]
2014 | Journal Article | IST-REx-ID: 2281 | OA
Guo, Y., & Seiringer, R. (2014). On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics, 104(2), 141–156. https://doi.org/10.1007/s11005-013-0667-9
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[101]
2014 | Journal Article | IST-REx-ID: 2407 | OA
Lieb, É., & Seiringer, R. (2014). Equivalence of two definitions of the effective mass of a polaron. Journal of Statistical Physics, 154(1–2), 51–57. https://doi.org/10.1007/s10955-013-0791-z
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[100]
2014 | Journal Article | IST-REx-ID: 1821 | OA
Seiringer, R. (2014). Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. Journal of Mathematical Physics, 55(7). https://doi.org/10.1063/1.4881536
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[99]
2014 | Journal Article | IST-REx-ID: 1822
Jakšić, V., Pillet, C., & Seiringer, R. (2014). Introduction. Journal of Mathematical Physics, 55(7). https://doi.org/10.1063/1.4884877
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[98]
2014 | Journal Article | IST-REx-ID: 1889 | OA
Bräunlich, G., Hainzl, C., & Seiringer, R. (2014). Translation-invariant quasi-free states for fermionic systems and the BCS approximation. Reviews in Mathematical Physics, 26(7). https://doi.org/10.1142/S0129055X14500123
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[97]
2014 | Journal Article | IST-REx-ID: 1904 | OA
Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2014). Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society, 16(7), 1507–1526. https://doi.org/10.4171/JEMS/467
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[96]
2014 | Journal Article | IST-REx-ID: 1918 | OA
Bellazzini, J., Frank, R., Lieb, É., & Seiringer, R. (2014). Existence of ground states for negative ions at the binding threshold. Reviews in Mathematical Physics, 26(1). https://doi.org/10.1142/S0129055X13500219
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[95]
2014 | Journal Article | IST-REx-ID: 1935 | OA
Giuliani, A., Lieb, É., & Seiringer, R. (2014). Formation of stripes and slabs near the ferromagnetic transition. Communications in Mathematical Physics, 331(1), 333–350. https://doi.org/10.1007/s00220-014-1923-2
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[94]
2014 | Conference Paper | IST-REx-ID: 8044 | OA
Seiringer, R. (2014). Structure of the excitation spectrum for many-body quantum systems. In Proceeding of the International Congress of Mathematicans (Vol. 3, pp. 1175–1194). Seoul, South Korea: Kyung Moon SA.
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[93]
2014 | Conference Paper | IST-REx-ID: 1516 | OA
Bräunlich, G., Hainzl, C., & Seiringer, R. (2014). On the BCS gap equation for superfluid fermionic gases. In Proceedings of the QMath12 Conference (pp. 127–137). Berlin, Germany: World Scientific Publishing. https://doi.org/10.1142/9789814618144_0007
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[92]
2013 | Journal Article | IST-REx-ID: 2297 | OA
Seiringer, R. (2013). Hot topics in cold gases: A mathematical physics perspective. Japanese Journal of Mathematics, 8(2), 185–232. https://doi.org/10.1007/s11537-013-1264-5
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[91]
2013 | Journal Article | IST-REx-ID: 2300 | OA
Giuliani, A., Lieb, É., & Seiringer, R. (2013). Realization of stripes and slabs in two and three dimensions. Physical Review B, 88(6). https://doi.org/10.1103/PhysRevB.88.064401
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[90]
2013 | Conference Paper | IST-REx-ID: 2315 | OA
Seiringer, R., Yngvason, J., & Zagrebnov, V. (2013). Disordered Bose-Einstein condensates with interaction (pp. 610–619). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814449243_0063
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[89]
2013 | Conference Paper | IST-REx-ID: 2319 | OA
Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2013). Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction (pp. 57–88). Presented at the OTAMP: Operator Theory, Analysis and Mathematical Physics, Springer. https://doi.org/10.1007/978-3-0348-0531-5_3
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[88]
2013 | Journal Article | IST-REx-ID: 2404 | OA
Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2013). A positive density analogue of the Lieb-Thirring inequality. Duke Mathematical Journal, 162(3), 435–495. https://doi.org/10.1215/00127094-2019477
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[87]
2013 | Journal Article | IST-REx-ID: 2405 | OA
Frank, R., Lieb, É., & Seiringer, R. (2013). Symmetry of bipolaron bound states for small Coulomb repulsion. Communications in Mathematical Physics, 319(2), 557–573. https://doi.org/10.1007/s00220-012-1604-y
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[86]
2013 | Journal Article | IST-REx-ID: 2406
Seiringer, R., Yngvason, J., & Zagrebnov, V. (2013). Condensation of interacting bosons in a random potential. European Physical Journal: Special Topics, 217(1), 103–107. https://doi.org/10.1140/epjst/e2013-01759-5
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[85]
2013 | Journal Article | IST-REx-ID: 2408 | OA
Grech, P., & Seiringer, R. (2013). The excitation spectrum for weakly interacting Bosons in a trap. Communications in Mathematical Physics, 322(2), 559–591. https://doi.org/10.1007/s00220-013-1736-8
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[84]
2012 | Conference Paper | IST-REx-ID: 2316 | OA
Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2012). Ground state properties of multi-polaron systems (pp. 477–485). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814449243_0045
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[83]
2012 | Conference Paper | IST-REx-ID: 2317 | OA
Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2012). Microscopic derivation of the Ginzburg-Landau model (pp. 575–583). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814449243_0060
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[82]
2012 | Journal Article | IST-REx-ID: 2318 | OA
Seiringer, R. (2012). Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory, 2(3), 321–328. https://doi.org/10.4171/JST/31
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[81]
2012 | Journal Article | IST-REx-ID: 2394
Freiji, A., Hainzl, C., & Seiringer, R. (2012). The gap equation for spin-polarized fermions. Journal of Mathematical Physics, 53(1). https://doi.org/10.1063/1.3670747
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[80]
2012 | Journal Article | IST-REx-ID: 2395 | OA
Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2012). Microscopic derivation of Ginzburg-Landau theory. Journal of the American Mathematical Society, 25(3), 667–713. https://doi.org/10.1090/S0894-0347-2012-00735-8
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[79]
2012 | Journal Article | IST-REx-ID: 2396 | OA
Landon, B., & Seiringer, R. (2012). The scattering length at positive temperature. Letters in Mathematical Physics, 100(3), 237–243. https://doi.org/10.1007/s11005-012-0566-5
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[78]
2012 | Journal Article | IST-REx-ID: 2397 | OA
Hainzl, C., & Seiringer, R. (2012). Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics, 100(2), 119–138. https://doi.org/10.1007/s11005-011-0535-4
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[77]
2012 | Book Review | IST-REx-ID: 2398 | OA
Jakšić, V., Ogata, Y., Pillet, C., & Seiringer, R. (2012). Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X12300026
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[76]
2012 | Book Chapter | IST-REx-ID: 2399
Seiringer, R. (2012). Cold quantum gases and bose einstein condensation. In V. Rivasseau, R. Seiringer, J. Solovej, & T. Spencer (Eds.), Quantum Many Body Systems (Vol. 2051, pp. 55–92). Springer. https://doi.org/10.1007/978-3-642-29511-9_2
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[75]
2012 | Journal Article | IST-REx-ID: 2400 | OA
Frank, R., Lieb, É., & Seiringer, R. (2012). Binding of polarons and atoms at threshold. Communications in Mathematical Physics, 313(2), 405–424. https://doi.org/10.1007/s00220-012-1436-9
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[74]
2012 | Journal Article | IST-REx-ID: 2401 | OA
Lieb, É., & Seiringer, R. (2012). Further implications of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics, 149(1), 86–91. https://doi.org/10.1007/s10955-012-0585-8
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[73]
2012 | Journal Article | IST-REx-ID: 2402 | OA
Frank, R., & Seiringer, R. (2012). Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics, 53(9). https://doi.org/10.1063/1.3697416
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[72]
2012 | Journal Article | IST-REx-ID: 2403 | OA
Seiringer, R., Yngvason, J., & Zagrebnov, V. (2012). Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment, 2012(11). https://doi.org/10.1088/1742-5468/2012/11/P11007
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[71]
2011 | Conference Paper | IST-REx-ID: 2320 | OA
Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2011). Binding, stability, and non-binding of multi-polaron systems (pp. 21–32). Presented at the QMath: Mathematical Results in Quantum Physics, World Scientific Publishing. https://doi.org/10.1142/9789814350365_0002
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[70]
2011 | Conference Paper | IST-REx-ID: 2321 | OA
Frank, R., Laptev, A., & Seiringer, R. (2011). A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials (Vol. 214, pp. 39–44). Presented at the OTAMP: Operator Theory, Analysis and Mathematical Physics, Springer. https://doi.org/10.1007/978-3-7643-9994-8_3
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[69]
2011 | Journal Article | IST-REx-ID: 2390 | OA
Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2011). Stability and absence of binding for multi-polaron systems. Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques, 113(1), 39–67. https://doi.org/10.1007/s10240-011-0031-5
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[68]
2011 | Journal Article | IST-REx-ID: 2391 | OA
Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2011). Energy cost to make a hole in the fermi sea. Physical Review Letters, 106(15). https://doi.org/10.1103/PhysRevLett.106.150402
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[67]
2011 | Journal Article | IST-REx-ID: 2393 | OA
Seiringer, R. (2011). The excitation spectrum for weakly interacting Bosons. Communications in Mathematical Physics, 306(2), 565–578. https://doi.org/10.1007/s00220-011-1261-6
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[66]
2010 | Conference Paper | IST-REx-ID: 2322 | OA
Frank, R., Lieb, É., & Seiringer, R. (2010). Equivalence of Sobolev inequalities and Lieb-Thirring inequalities (pp. 523–535). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814304634_0045
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[65]
2010 | Conference Paper | IST-REx-ID: 2323 | OA
Seiringer, R. (2010). Hot topics on cold gases (pp. 231–245). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814304634_0013
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[64]
2010 | Book Chapter | IST-REx-ID: 2324 | OA
Frank, R., & Seiringer, R. (2010). Sharp fractional Hardy inequalities in half-spaces. In Around the Research of Vladimir Maz’ya I (Vol. 11, pp. 161–167). Springer. 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, C., & Seiringer, R. (2010). Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy. Mathematische Nachrichten, 283(3), 489–499. https://doi.org/10.1002/mana.200810195
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[62]
2010 | Journal Article | IST-REx-ID: 2392 | OA
Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2010). Bipolaron and N-polaron binding energies. Physical Review Letters, 104(21). https://doi.org/10.1103/PhysRevLett.104.210402
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[61]
2009 | Book | IST-REx-ID: 2326
Lieb, É., & Seiringer, R. (2009). The Stability of Matter in Quantum Mechanics. The Stability of Matter in Quantum Mechanics. Cambridge University Press.
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[60]
2009 | Conference Paper | IST-REx-ID: 2330
Hainzl, C., & Seiringer, R. (2009). A linear criterion for solutions of non-linear equations, with application to the BCS gap equation (Vol. 500, pp. 101–104). Presented at the Spectral and Scattering Theory for Quantum Magnetic Systems, American Mathematical Society. https://doi.org/10.1090/conm/500/09823
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[59]
2009 | Journal Article | IST-REx-ID: 2384 | OA
Giuliani, A., & Seiringer, R. (2009). The ground state energy of the weakly interacting Bose gas at high density. Journal of Statistical Physics, 135(5–6), 915–934. https://doi.org/10.1007/s10955-009-9718-0
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[58]
2009 | Journal Article | IST-REx-ID: 2385 | OA
Lieb, É., Seiringer, R., & Yngvason, J. (2009). Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime. Physical Review A - Atomic, Molecular, and Optical Physics, 79(6). https://doi.org/10.1103/PhysRevA.79.063626
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[57]
2009 | Journal Article | IST-REx-ID: 2386 | OA
Seiringer, R., & Ueltschi, D. (2009). Rigorous upper bound on the critical temperature of dilute Bose gases. Physical Review B - Condensed Matter and Materials Physics, 80(1). https://doi.org/10.1103/PhysRevB.80.014502
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[56]
2009 | Journal Article | IST-REx-ID: 2387 | OA
Lewin, M., & Seiringer, R. (2009). Strongly correlated phases in rapidly rotating Bose gases. Journal of Statistical Physics, 137(5), 1040–1062. https://doi.org/10.1007/s10955-009-9833-y
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[55]
2009 | Journal Article | IST-REx-ID: 2388 | OA
Predd, J., Seiringer, R., Lieb, É., Osherson, D., Poor, H., & Kulkarni, S. (2009). Probabilistic coherence and proper scoring rules. IEEE Transactions on Information Theory, 55(10), 4786–4792. https://doi.org/10.1109/TIT.2009.2027573
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[54]
2008 | Conference Paper | IST-REx-ID: 2331 | OA
Hainzl, C., & Seiringer, R. (2008). Spectral properties of the BCS gap equation of superfluidity (pp. 117–136). Presented at the QMath: Mathematical Results in Quantum Physics, World Scientific Publishing. https://doi.org/10.1142/9789812832382_0009
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[53]
2008 | Conference Paper | IST-REx-ID: 2332 | OA
Seiringer, R. (2008). Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases (pp. 241–254). Presented at the QMath: Mathematical Results in Quantum Physics, World Scientific Publishing. https://doi.org/10.1142/9789812832382_0017
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[52]
2008 | Journal Article | IST-REx-ID: 2374 | OA
Seiringer, R. (2008). Free energy of a dilute Bose gas: Lower bound. Communications in Mathematical Physics, 279(3), 595–636. https://doi.org/10.1007/s00220-008-0428-2
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[51]
2008 | Journal Article | IST-REx-ID: 2376 | OA
Hainzl, C., & Seiringer, R. (2008). Critical temperature and energy gap for the BCS equation. Physical Review B - Condensed Matter and Materials Physics, 77(18). https://doi.org/10.1103/PhysRevB.77.184517
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[50]
2008 | Journal Article | IST-REx-ID: 2377 | OA
Hainzl, C., & Seiringer, R. (2008). The BCS critical temperature for potentials with negative scattering length. Letters in Mathematical Physics, 84(2–3), 99–107. https://doi.org/10.1007/s11005-008-0242-y
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[49]
2008 | Journal Article | IST-REx-ID: 2378 | OA
Seiringer, R., & Yin, J. (2008). Ground state energy of the low density hubbard model. Journal of Statistical Physics, 131(6), 1139–1154. https://doi.org/10.1007/s10955-008-9527-x
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[48]
2008 | Journal Article | IST-REx-ID: 2379 | OA
Frank, R., Lieb, É., & Seiringer, R. (2008). Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Journal of the American Mathematical Society, 21(4), 925–950. https://doi.org/10.1090/S0894-0347-07-00582-6
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[47]
2008 | Journal Article | IST-REx-ID: 2380 | OA
Hainzl, C., Hamza, E., Seiringer, R., & Solovej, J. (2008). The BCS functional for general pair interactions. Communications in Mathematical Physics, 281(2), 349–367. https://doi.org/10.1007/s00220-008-0489-2
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[46]
2008 | Journal Article | IST-REx-ID: 2381 | OA
Frank, R., & Seiringer, R. (2008). Non-linear ground state representations and sharp Hardy inequalities. Journal of Functional Analysis, 255(12), 3407–3430. https://doi.org/10.1016/j.jfa.2008.05.015
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[45]
2008 | Journal Article | IST-REx-ID: 2382 | OA
Seiringer, R., & Yin, J. (2008). The Lieb-Liniger model as a limit of dilute bosons in three dimensions. Communications in Mathematical Physics, 284(2), 459–479. https://doi.org/10.1007/s00220-008-0521-6
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[44]
2008 | Journal Article | IST-REx-ID: 2383 | OA
Hainzl, C., Lewin, M., & Seiringer, R. (2008). A nonlinear model for relativistic electrons at positive temperature. Reviews in Mathematical Physics, 20(10), 1283–1307. https://doi.org/10.1142/S0129055X08003547
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[43]
2007 | Journal Article | IST-REx-ID: 2367 | OA
Seiringer, R. (2007). On the failure of subadditivity of the Wigner-Yanase entropy. Letters in Mathematical Physics, 80(3), 285–288. https://doi.org/10.1007/s11005-007-0159-x
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[42]
2007 | Journal Article | IST-REx-ID: 2370 | OA
Lieb, É., Seiringer, R., & Yngvason, J. (2007). Bose-Einstein condensation and spontaneous symmetry breaking. Reports on Mathematical Physics, 59(3), 389–399. https://doi.org/10.1016/S0034-4877(07)80074-7
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[41]
2007 | Journal Article | IST-REx-ID: 2371 | OA
Frank, R., Lieb, É., & Seiringer, R. (2007). Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value. Communications in Mathematical Physics, 275(2), 479–489. https://doi.org/10.1007/s00220-007-0307-2
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[40]
2007 | Journal Article | IST-REx-ID: 2372 | OA
Frank, R., Lieb, É., Seiringer, R., & Siedentop, H. (2007). Müller’s exchange-correlation energy in density-matrix-functional theory. Physical Review A - Atomic, Molecular, and Optical Physics, 76(5). https://doi.org/10.1103/PhysRevA.76.052517
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[39]
2007 | Journal Article | IST-REx-ID: 2373 | OA
Frank, R., Hainzl, C., Naboko, S., & Seiringer, R. (2007). The critical temperature for the BCS equation at weak coupling. Journal of Geometric Analysis, 17(4), 559–567. https://doi.org/10.1007/BF02937429
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[38]
2007 | Journal Article | IST-REx-ID: 2375 | OA
Frank, R., Lieb, É., & Seiringer, R. (2007). Number of bound states of Schrödinger operators with matrix-valued potentials. Letters in Mathematical Physics, 82(2–3), 107–116. https://doi.org/10.1007/s11005-007-0211-x
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[37]
2006 | Conference Paper | IST-REx-ID: 2333 | OA
Lieb, É., Seiringer, R., & Solovej, J. (2006). Ground-state energy of a dilute Fermi gas (Vol. 412, pp. 239–248). Presented at the Differential Equations and Mathematical Physics, American Mathematical Society. https://doi.org/10.1090/conm/412
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[136]
2020 | Journal Article | IST-REx-ID: 7650 | OA
Deuchert, A., & Seiringer, R. (2020). Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis, 236(6), 1217–1271. https://doi.org/10.1007/s00205-020-01489-4
View | DOI | Download Published Version (ext.) | arXiv
 
[135]
2020 | Journal Article | IST-REx-ID: 7790 | OA
Deuchert, A., Mayer, S., & Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma, 8. https://doi.org/10.1017/fms.2020.17
View | Files available | DOI | arXiv
 
[134]
2020 | Preprint | IST-REx-ID: 7901 | OA
Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (n.d.). Correlation energy of a weakly interacting Fermi gas. ArXiv. ArXiv.
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[133]
2020 | Journal Article | IST-REx-ID: 6649 | OA
Benedikter, N. P., Nam, P. T., Porta, M., Schlein, B., & Seiringer, R. (2020). Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics, 374, 2097–2150. https://doi.org/10.1007/s00220-019-03505-5
View | Files available | DOI | arXiv
 
[132]
2020 | Journal Article | IST-REx-ID: 8091 | OA
Seiringer, R., & Yngvason, J. (2020). Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. https://doi.org/10.1007/s10955-020-02586-0
View | Files available | DOI | arXiv
 
[131]
2020 | Journal Article | IST-REx-ID: 8134 | OA
Mayer, S., & Seiringer, R. (2020). The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics, 61(6). https://doi.org/10.1063/5.0005950
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[130]
2020 | Journal Article | IST-REx-ID: 8603
Frank, R., & Seiringer, R. (2020). Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. https://doi.org/10.1002/cpa.21944
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[129]
2019 | Journal Article | IST-REx-ID: 7226 | OA
Jaksic, V., & Seiringer, R. (2019). Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics, 60(12). https://doi.org/10.1063/1.5138135
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[128]
2019 | Journal Article | IST-REx-ID: 7235 | OA
Lieb, E. H., & Seiringer, R. (2019). Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. https://doi.org/10.1007/s10955-019-02322-3
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[127]
2019 | Preprint | IST-REx-ID: 7524 | OA
Deuchert, A., Mayer, S., & Seiringer, R. (n.d.). The free energy of the two-dimensional dilute Bose gas. I. Lower bound. ArXiv:1910.03372. ArXiv.
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[126]
2019 | Journal Article | IST-REx-ID: 5856 | OA
Moser, T., & Seiringer, R. (2019). Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare, 20(4), 1325–1365. https://doi.org/10.1007/s00023-018-00757-0
View | Files available | DOI | arXiv
 
[125]
2019 | Journal Article | IST-REx-ID: 7015 | OA
Lewin, M., Lieb, E. H., & Seiringer, R. (2019). Floating Wigner crystal with no boundary charge fluctuations. Physical Review B, 100(3). https://doi.org/10.1103/physrevb.100.035127
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[124]
2019 | Journal Article | IST-REx-ID: 80 | OA
Deuchert, A., Seiringer, R., & Yngvason, J. (2019). Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics, 368(2), 723–776. https://doi.org/10.1007/s00220-018-3239-0
View | Files available | DOI
 
[123]
2018 | Journal Article | IST-REx-ID: 295 | OA
Lundholm, D., & Seiringer, R. (2018). Fermionic behavior of ideal anyons. Letters in Mathematical Physics, 108(11), 2523–2541. https://doi.org/10.1007/s11005-018-1091-y
View | Files available | DOI | arXiv
 
[122]
2018 | Journal Article | IST-REx-ID: 154 | OA
Moser, T., & Seiringer, R. (2018). Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry, 21(3). https://doi.org/10.1007/s11040-018-9275-3
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[121]
2018 | Journal Article | IST-REx-ID: 180 | OA
Lewi, M., Lieb, É., & Seiringer, R. (2018). Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques, 5, 79–116. https://doi.org/10.5802/jep.64
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[120]
2017 | Journal Article | IST-REx-ID: 741 | OA
Moser, T., & Seiringer, R. (2017). Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics, 356(1), 329–355. https://doi.org/10.1007/s00220-017-2980-0
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[119]
2017 | Journal Article | IST-REx-ID: 1198 | OA
Moser, T., & Seiringer, R. (2017). Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics, 107(3), 533–552. https://doi.org/10.1007/s11005-016-0915-x
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[118]
2017 | Journal Article | IST-REx-ID: 1120 | OA
Li, X., Seiringer, R., & Lemeshko, M. (2017). Angular self-localization of impurities rotating in a bosonic bath. Physical Review A, 95(3). https://doi.org/10.1103/PhysRevA.95.033608
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[117]
2016 | Journal Article | IST-REx-ID: 1620 | OA
Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2016). The external field dependence of the BCS critical temperature. Communications in Mathematical Physics, 342(1), 189–216. https://doi.org/10.1007/s00220-015-2526-2
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[116]
2016 | Journal Article | IST-REx-ID: 1259 | OA
Bräunlich, G., Hainzl, C., & Seiringer, R. (2016). Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry, 19(2). https://doi.org/10.1007/s11040-016-9209-x
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[115]
2016 | Journal Article | IST-REx-ID: 1291 | OA
Giuliani, A., & Seiringer, R. (2016). Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics, 347(3), 983–1007. https://doi.org/10.1007/s00220-016-2665-0
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[114]
2016 | Journal Article | IST-REx-ID: 1422 | OA
Frank, R., Hainzl, C., Schlein, B., & Seiringer, R. (2016). Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics, 106(7), 913–923. https://doi.org/10.1007/s11005-016-0847-5
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[113]
2016 | Conference Paper | IST-REx-ID: 1428 | OA
Könenberg, M., Moser, T., Seiringer, R., & Yngvason, J. (2016). Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. In Journal of Physics: Conference Series (Vol. 691). Shanghai, China: IOP Publishing Ltd. https://doi.org/10.1088/1742-6596/691/1/012016
View | Files available | DOI
 
[112]
2016 | Journal Article | IST-REx-ID: 1478 | OA
Seiringer, R., & Warzel, S. (2016). Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics, 18(3). https://doi.org/10.1088/1367-2630/18/3/035002
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[111]
2016 | Journal Article | IST-REx-ID: 1486 | OA
Hainzl, C., & Seiringer, R. (2016). The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics, 57(2). https://doi.org/10.1063/1.4941723
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[110]
2016 | Journal Article | IST-REx-ID: 1143 | OA
Nam, P., Rougerie, N., & Seiringer, R. (2016). Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE, 9(2), 459–485. https://doi.org/10.2140/apde.2016.9.459
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[109]
2015 | Journal Article | IST-REx-ID: 2085 | OA
Nam, P., & Seiringer, R. (2015). Collective excitations of Bose gases in the mean-field regime. Archive for Rational Mechanics and Analysis, 215(2), 381–417. https://doi.org/10.1007/s00205-014-0781-6
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[108]
2015 | Journal Article | IST-REx-ID: 1572 | OA
Correggi, M., Giuliani, A., & Seiringer, R. (2015). Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. Communications in Mathematical Physics, 339(1), 279–307. https://doi.org/10.1007/s00220-015-2402-0
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[107]
2015 | Journal Article | IST-REx-ID: 1573 | OA
Chen, T., Hainzl, C., Pavlović, N., & Seiringer, R. (2015). Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications on Pure and Applied Mathematics, 68(10), 1845–1884. https://doi.org/10.1002/cpa.21552
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[106]
2015 | Journal Article | IST-REx-ID: 1704 | OA
Deuchert, A., Hainzl, C., & Seiringer, R. (2015). Note on a family of monotone quantum relative entropies. Letters in Mathematical Physics, 105(10), 1449–1466. https://doi.org/10.1007/s11005-015-0787-5
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[105]
2015 | Journal Article | IST-REx-ID: 1880 | OA
Könenberg, M., Moser, T., Seiringer, R., & Yngvason, J. (2015). Superfluid behavior of a Bose-Einstein condensate in a random potential. New Journal of Physics, 17. https://doi.org/10.1088/1367-2630/17/1/013022
View | Files available | DOI
 
[104]
2014 | Journal Article | IST-REx-ID: 2029 | OA
Correggi, M., Giuliani, A., & Seiringer, R. (2014). Validity of spin-wave theory for the quantum Heisenberg model. EPL, 108(2). https://doi.org/10.1209/0295-5075/108/20003
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[103]
2014 | Journal Article | IST-REx-ID: 2186 | OA
Chen, T., Hainzl, C., Pavlović, N., & Seiringer, R. (2014). On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters in Mathematical Physics, 104(7), 871–891. https://doi.org/10.1007/s11005-014-0693-2
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[102]
2014 | Journal Article | IST-REx-ID: 2281 | OA
Guo, Y., & Seiringer, R. (2014). On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics, 104(2), 141–156. https://doi.org/10.1007/s11005-013-0667-9
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[101]
2014 | Journal Article | IST-REx-ID: 2407 | OA
Lieb, É., & Seiringer, R. (2014). Equivalence of two definitions of the effective mass of a polaron. Journal of Statistical Physics, 154(1–2), 51–57. https://doi.org/10.1007/s10955-013-0791-z
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[100]
2014 | Journal Article | IST-REx-ID: 1821 | OA
Seiringer, R. (2014). Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. Journal of Mathematical Physics, 55(7). https://doi.org/10.1063/1.4881536
View | Files available | DOI
 
[99]
2014 | Journal Article | IST-REx-ID: 1822
Jakšić, V., Pillet, C., & Seiringer, R. (2014). Introduction. Journal of Mathematical Physics, 55(7). https://doi.org/10.1063/1.4884877
View | DOI
 
[98]
2014 | Journal Article | IST-REx-ID: 1889 | OA
Bräunlich, G., Hainzl, C., & Seiringer, R. (2014). Translation-invariant quasi-free states for fermionic systems and the BCS approximation. Reviews in Mathematical Physics, 26(7). https://doi.org/10.1142/S0129055X14500123
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[97]
2014 | Journal Article | IST-REx-ID: 1904 | OA
Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2014). Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society, 16(7), 1507–1526. https://doi.org/10.4171/JEMS/467
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[96]
2014 | Journal Article | IST-REx-ID: 1918 | OA
Bellazzini, J., Frank, R., Lieb, É., & Seiringer, R. (2014). Existence of ground states for negative ions at the binding threshold. Reviews in Mathematical Physics, 26(1). https://doi.org/10.1142/S0129055X13500219
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[95]
2014 | Journal Article | IST-REx-ID: 1935 | OA
Giuliani, A., Lieb, É., & Seiringer, R. (2014). Formation of stripes and slabs near the ferromagnetic transition. Communications in Mathematical Physics, 331(1), 333–350. https://doi.org/10.1007/s00220-014-1923-2
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[94]
2014 | Conference Paper | IST-REx-ID: 8044 | OA
Seiringer, R. (2014). Structure of the excitation spectrum for many-body quantum systems. In Proceeding of the International Congress of Mathematicans (Vol. 3, pp. 1175–1194). Seoul, South Korea: Kyung Moon SA.
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[93]
2014 | Conference Paper | IST-REx-ID: 1516 | OA
Bräunlich, G., Hainzl, C., & Seiringer, R. (2014). On the BCS gap equation for superfluid fermionic gases. In Proceedings of the QMath12 Conference (pp. 127–137). Berlin, Germany: World Scientific Publishing. https://doi.org/10.1142/9789814618144_0007
View | DOI | Download Preprint (ext.) | arXiv
 
[92]
2013 | Journal Article | IST-REx-ID: 2297 | OA
Seiringer, R. (2013). Hot topics in cold gases: A mathematical physics perspective. Japanese Journal of Mathematics, 8(2), 185–232. https://doi.org/10.1007/s11537-013-1264-5
View | DOI | Download Preprint (ext.) | arXiv
 
[91]
2013 | Journal Article | IST-REx-ID: 2300 | OA
Giuliani, A., Lieb, É., & Seiringer, R. (2013). Realization of stripes and slabs in two and three dimensions. Physical Review B, 88(6). https://doi.org/10.1103/PhysRevB.88.064401
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[90]
2013 | Conference Paper | IST-REx-ID: 2315 | OA
Seiringer, R., Yngvason, J., & Zagrebnov, V. (2013). Disordered Bose-Einstein condensates with interaction (pp. 610–619). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814449243_0063
View | DOI | Download None (ext.) | arXiv
 
[89]
2013 | Conference Paper | IST-REx-ID: 2319 | OA
Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2013). Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction (pp. 57–88). Presented at the OTAMP: Operator Theory, Analysis and Mathematical Physics, Springer. https://doi.org/10.1007/978-3-0348-0531-5_3
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[88]
2013 | Journal Article | IST-REx-ID: 2404 | OA
Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2013). A positive density analogue of the Lieb-Thirring inequality. Duke Mathematical Journal, 162(3), 435–495. https://doi.org/10.1215/00127094-2019477
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[87]
2013 | Journal Article | IST-REx-ID: 2405 | OA
Frank, R., Lieb, É., & Seiringer, R. (2013). Symmetry of bipolaron bound states for small Coulomb repulsion. Communications in Mathematical Physics, 319(2), 557–573. https://doi.org/10.1007/s00220-012-1604-y
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[86]
2013 | Journal Article | IST-REx-ID: 2406
Seiringer, R., Yngvason, J., & Zagrebnov, V. (2013). Condensation of interacting bosons in a random potential. European Physical Journal: Special Topics, 217(1), 103–107. https://doi.org/10.1140/epjst/e2013-01759-5
View | DOI
 
[85]
2013 | Journal Article | IST-REx-ID: 2408 | OA
Grech, P., & Seiringer, R. (2013). The excitation spectrum for weakly interacting Bosons in a trap. Communications in Mathematical Physics, 322(2), 559–591. https://doi.org/10.1007/s00220-013-1736-8
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[84]
2012 | Conference Paper | IST-REx-ID: 2316 | OA
Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2012). Ground state properties of multi-polaron systems (pp. 477–485). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814449243_0045
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[83]
2012 | Conference Paper | IST-REx-ID: 2317 | OA
Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2012). Microscopic derivation of the Ginzburg-Landau model (pp. 575–583). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814449243_0060
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[82]
2012 | Journal Article | IST-REx-ID: 2318 | OA
Seiringer, R. (2012). Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory, 2(3), 321–328. https://doi.org/10.4171/JST/31
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[81]
2012 | Journal Article | IST-REx-ID: 2394
Freiji, A., Hainzl, C., & Seiringer, R. (2012). The gap equation for spin-polarized fermions. Journal of Mathematical Physics, 53(1). https://doi.org/10.1063/1.3670747
View | DOI
 
[80]
2012 | Journal Article | IST-REx-ID: 2395 | OA
Frank, R., Hainzl, C., Seiringer, R., & Solovej, J. (2012). Microscopic derivation of Ginzburg-Landau theory. Journal of the American Mathematical Society, 25(3), 667–713. https://doi.org/10.1090/S0894-0347-2012-00735-8
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[79]
2012 | Journal Article | IST-REx-ID: 2396 | OA
Landon, B., & Seiringer, R. (2012). The scattering length at positive temperature. Letters in Mathematical Physics, 100(3), 237–243. https://doi.org/10.1007/s11005-012-0566-5
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[78]
2012 | Journal Article | IST-REx-ID: 2397 | OA
Hainzl, C., & Seiringer, R. (2012). Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics, 100(2), 119–138. https://doi.org/10.1007/s11005-011-0535-4
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[77]
2012 | Book Review | IST-REx-ID: 2398 | OA
Jakšić, V., Ogata, Y., Pillet, C., & Seiringer, R. (2012). Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. World Scientific Publishing. https://doi.org/10.1142/S0129055X12300026
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[76]
2012 | Book Chapter | IST-REx-ID: 2399
Seiringer, R. (2012). Cold quantum gases and bose einstein condensation. In V. Rivasseau, R. Seiringer, J. Solovej, & T. Spencer (Eds.), Quantum Many Body Systems (Vol. 2051, pp. 55–92). Springer. https://doi.org/10.1007/978-3-642-29511-9_2
View | DOI
 
[75]
2012 | Journal Article | IST-REx-ID: 2400 | OA
Frank, R., Lieb, É., & Seiringer, R. (2012). Binding of polarons and atoms at threshold. Communications in Mathematical Physics, 313(2), 405–424. https://doi.org/10.1007/s00220-012-1436-9
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[74]
2012 | Journal Article | IST-REx-ID: 2401 | OA
Lieb, É., & Seiringer, R. (2012). Further implications of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics, 149(1), 86–91. https://doi.org/10.1007/s10955-012-0585-8
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[73]
2012 | Journal Article | IST-REx-ID: 2402 | OA
Frank, R., & Seiringer, R. (2012). Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics, 53(9). https://doi.org/10.1063/1.3697416
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[72]
2012 | Journal Article | IST-REx-ID: 2403 | OA
Seiringer, R., Yngvason, J., & Zagrebnov, V. (2012). Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment, 2012(11). https://doi.org/10.1088/1742-5468/2012/11/P11007
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[71]
2011 | Conference Paper | IST-REx-ID: 2320 | OA
Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2011). Binding, stability, and non-binding of multi-polaron systems (pp. 21–32). Presented at the QMath: Mathematical Results in Quantum Physics, World Scientific Publishing. https://doi.org/10.1142/9789814350365_0002
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[70]
2011 | Conference Paper | IST-REx-ID: 2321 | OA
Frank, R., Laptev, A., & Seiringer, R. (2011). A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials (Vol. 214, pp. 39–44). Presented at the OTAMP: Operator Theory, Analysis and Mathematical Physics, Springer. https://doi.org/10.1007/978-3-7643-9994-8_3
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[69]
2011 | Journal Article | IST-REx-ID: 2390 | OA
Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2011). Stability and absence of binding for multi-polaron systems. Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques, 113(1), 39–67. https://doi.org/10.1007/s10240-011-0031-5
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[68]
2011 | Journal Article | IST-REx-ID: 2391 | OA
Frank, R., Lewin, M., Lieb, É., & Seiringer, R. (2011). Energy cost to make a hole in the fermi sea. Physical Review Letters, 106(15). https://doi.org/10.1103/PhysRevLett.106.150402
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[67]
2011 | Journal Article | IST-REx-ID: 2393 | OA
Seiringer, R. (2011). The excitation spectrum for weakly interacting Bosons. Communications in Mathematical Physics, 306(2), 565–578. https://doi.org/10.1007/s00220-011-1261-6
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[66]
2010 | Conference Paper | IST-REx-ID: 2322 | OA
Frank, R., Lieb, É., & Seiringer, R. (2010). Equivalence of Sobolev inequalities and Lieb-Thirring inequalities (pp. 523–535). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814304634_0045
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[65]
2010 | Conference Paper | IST-REx-ID: 2323 | OA
Seiringer, R. (2010). Hot topics on cold gases (pp. 231–245). Presented at the ICMP: International Congress on Mathematical Physics, World Scientific Publishing. https://doi.org/10.1142/9789814304634_0013
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[64]
2010 | Book Chapter | IST-REx-ID: 2324 | OA
Frank, R., & Seiringer, R. (2010). Sharp fractional Hardy inequalities in half-spaces. In Around the Research of Vladimir Maz’ya I (Vol. 11, pp. 161–167). Springer. 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, C., & Seiringer, R. (2010). Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy. Mathematische Nachrichten, 283(3), 489–499. https://doi.org/10.1002/mana.200810195
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[62]
2010 | Journal Article | IST-REx-ID: 2392 | OA
Frank, R., Lieb, É., Seiringer, R., & Thomas, L. (2010). Bipolaron and N-polaron binding energies. Physical Review Letters, 104(21). https://doi.org/10.1103/PhysRevLett.104.210402
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[61]
2009 | Book | IST-REx-ID: 2326
Lieb, É., & Seiringer, R. (2009). The Stability of Matter in Quantum Mechanics. The Stability of Matter in Quantum Mechanics. Cambridge University Press.
View
 
[60]
2009 | Conference Paper | IST-REx-ID: 2330
Hainzl, C., & Seiringer, R. (2009). A linear criterion for solutions of non-linear equations, with application to the BCS gap equation (Vol. 500, pp. 101–104). Presented at the Spectral and Scattering Theory for Quantum Magnetic Systems, American Mathematical Society. https://doi.org/10.1090/conm/500/09823
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[59]
2009 | Journal Article | IST-REx-ID: 2384 | OA
Giuliani, A., & Seiringer, R. (2009). The ground state energy of the weakly interacting Bose gas at high density. Journal of Statistical Physics, 135(5–6), 915–934. https://doi.org/10.1007/s10955-009-9718-0
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[58]
2009 | Journal Article | IST-REx-ID: 2385 | OA
Lieb, É., Seiringer, R., & Yngvason, J. (2009). Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime. Physical Review A - Atomic, Molecular, and Optical Physics, 79(6). https://doi.org/10.1103/PhysRevA.79.063626
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[57]
2009 | Journal Article | IST-REx-ID: 2386 | OA
Seiringer, R., & Ueltschi, D. (2009). Rigorous upper bound on the critical temperature of dilute Bose gases. Physical Review B - Condensed Matter and Materials Physics, 80(1). https://doi.org/10.1103/PhysRevB.80.014502
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[56]
2009 | Journal Article | IST-REx-ID: 2387 | OA
Lewin, M., & Seiringer, R. (2009). Strongly correlated phases in rapidly rotating Bose gases. Journal of Statistical Physics, 137(5), 1040–1062. https://doi.org/10.1007/s10955-009-9833-y
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[55]
2009 | Journal Article | IST-REx-ID: 2388 | OA
Predd, J., Seiringer, R., Lieb, É., Osherson, D., Poor, H., & Kulkarni, S. (2009). Probabilistic coherence and proper scoring rules. IEEE Transactions on Information Theory, 55(10), 4786–4792. https://doi.org/10.1109/TIT.2009.2027573
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[54]
2008 | Conference Paper | IST-REx-ID: 2331 | OA
Hainzl, C., & Seiringer, R. (2008). Spectral properties of the BCS gap equation of superfluidity (pp. 117–136). Presented at the QMath: Mathematical Results in Quantum Physics, World Scientific Publishing. https://doi.org/10.1142/9789812832382_0009
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[53]
2008 | Conference Paper | IST-REx-ID: 2332 | OA
Seiringer, R. (2008). Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases (pp. 241–254). Presented at the QMath: Mathematical Results in Quantum Physics, World Scientific Publishing. https://doi.org/10.1142/9789812832382_0017
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[52]
2008 | Journal Article | IST-REx-ID: 2374 | OA
Seiringer, R. (2008). Free energy of a dilute Bose gas: Lower bound. Communications in Mathematical Physics, 279(3), 595–636. https://doi.org/10.1007/s00220-008-0428-2
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[51]
2008 | Journal Article | IST-REx-ID: 2376 | OA
Hainzl, C., & Seiringer, R. (2008). Critical temperature and energy gap for the BCS equation. Physical Review B - Condensed Matter and Materials Physics, 77(18). https://doi.org/10.1103/PhysRevB.77.184517
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[50]
2008 | Journal Article | IST-REx-ID: 2377 | OA
Hainzl, C., & Seiringer, R. (2008). The BCS critical temperature for potentials with negative scattering length. Letters in Mathematical Physics, 84(2–3), 99–107. https://doi.org/10.1007/s11005-008-0242-y
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[49]
2008 | Journal Article | IST-REx-ID: 2378 | OA
Seiringer, R., & Yin, J. (2008). Ground state energy of the low density hubbard model. Journal of Statistical Physics, 131(6), 1139–1154. https://doi.org/10.1007/s10955-008-9527-x
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[48]
2008 | Journal Article | IST-REx-ID: 2379 | OA
Frank, R., Lieb, É., & Seiringer, R. (2008). Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Journal of the American Mathematical Society, 21(4), 925–950. https://doi.org/10.1090/S0894-0347-07-00582-6
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[47]
2008 | Journal Article | IST-REx-ID: 2380 | OA
Hainzl, C., Hamza, E., Seiringer, R., & Solovej, J. (2008). The BCS functional for general pair interactions. Communications in Mathematical Physics, 281(2), 349–367. https://doi.org/10.1007/s00220-008-0489-2
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[46]
2008 | Journal Article | IST-REx-ID: 2381 | OA
Frank, R., & Seiringer, R. (2008). Non-linear ground state representations and sharp Hardy inequalities. Journal of Functional Analysis, 255(12), 3407–3430. https://doi.org/10.1016/j.jfa.2008.05.015
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[45]
2008 | Journal Article | IST-REx-ID: 2382 | OA
Seiringer, R., & Yin, J. (2008). The Lieb-Liniger model as a limit of dilute bosons in three dimensions. Communications in Mathematical Physics, 284(2), 459–479. https://doi.org/10.1007/s00220-008-0521-6
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[44]
2008 | Journal Article | IST-REx-ID: 2383 | OA
Hainzl, C., Lewin, M., & Seiringer, R. (2008). A nonlinear model for relativistic electrons at positive temperature. Reviews in Mathematical Physics, 20(10), 1283–1307. https://doi.org/10.1142/S0129055X08003547
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[43]
2007 | Journal Article | IST-REx-ID: 2367 | OA
Seiringer, R. (2007). On the failure of subadditivity of the Wigner-Yanase entropy. Letters in Mathematical Physics, 80(3), 285–288. https://doi.org/10.1007/s11005-007-0159-x
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[42]
2007 | Journal Article | IST-REx-ID: 2370 | OA
Lieb, É., Seiringer, R., & Yngvason, J. (2007). Bose-Einstein condensation and spontaneous symmetry breaking. Reports on Mathematical Physics, 59(3), 389–399. https://doi.org/10.1016/S0034-4877(07)80074-7
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[41]
2007 | Journal Article | IST-REx-ID: 2371 | OA
Frank, R., Lieb, É., & Seiringer, R. (2007). Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value. Communications in Mathematical Physics, 275(2), 479–489. https://doi.org/10.1007/s00220-007-0307-2
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[40]
2007 | Journal Article | IST-REx-ID: 2372 | OA
Frank, R., Lieb, É., Seiringer, R., & Siedentop, H. (2007). Müller’s exchange-correlation energy in density-matrix-functional theory. Physical Review A - Atomic, Molecular, and Optical Physics, 76(5). https://doi.org/10.1103/PhysRevA.76.052517
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[39]
2007 | Journal Article | IST-REx-ID: 2373 | OA
Frank, R., Hainzl, C., Naboko, S., & Seiringer, R. (2007). The critical temperature for the BCS equation at weak coupling. Journal of Geometric Analysis, 17(4), 559–567. https://doi.org/10.1007/BF02937429
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[38]
2007 | Journal Article | IST-REx-ID: 2375 | OA
Frank, R., Lieb, É., & Seiringer, R. (2007). Number of bound states of Schrödinger operators with matrix-valued potentials. Letters in Mathematical Physics, 82(2–3), 107–116. https://doi.org/10.1007/s11005-007-0211-x
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[37]
2006 | Conference Paper | IST-REx-ID: 2333 | OA
Lieb, É., Seiringer, R., & Solovej, J. (2006). Ground-state energy of a dilute Fermi gas (Vol. 412, pp. 239–248). Presented at the Differential Equations and Mathematical Physics, American Mathematical Society. https://doi.org/10.1090/conm/412
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