126 Publications

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[126]
2019 | Journal Article | IST-REx-ID: 6649   OA
Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2019. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics.
View | Files available | DOI | arXiv
 
[125]
2019 | Journal Article | IST-REx-ID: 7015   OA
Lewin M, Lieb EH, Seiringer R. 2019. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 100(3), 035127.
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[124]
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.
View | Files available | DOI | arXiv
 
[123]
2018 | Journal Article | IST-REx-ID: 80   OA
Deuchert A, Seiringer R, Yngvason J. 2018. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics.
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[122]
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.
View | Files available | DOI | arXiv
 
[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.
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[120]
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(19).
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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.
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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).
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[117]
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.
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[116]
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.
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[115]
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.
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[114]
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. Journal of Physics: Conference Series. 24th International Laser Physics Workshop (LPHYS’15) vol. 691.
View | Files available | DOI
 
[113]
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).
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[112]
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.
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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).
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[110]
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.
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[109]
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).
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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.
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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.
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[106]
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.
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[105]
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.
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[104]
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.
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[103]
2014 | Conference Paper | IST-REx-ID: 1516
Bräunlich G, Hainzl C, Seiringer R. 2014. On the BCS gap equation for superfluid fermionic gases. Proceedings of the QMath12 Conference. QMath: Mathematical Results in Quantum Physics 127–137.
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[102]
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).
View | Files available | DOI
 
[101]
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).
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[100]
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.
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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).
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[98]
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.
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[97]
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.
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[96]
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.
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[95]
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.
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[94]
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).
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[93]
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).
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[92]
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.
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[91]
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.
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[90]
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.
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[89]
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), 064401.
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[88]
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.
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[87]
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. OTAMP: Operator Theory, Analysis and Mathematical Physics 57–88.
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[86]
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.
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[85]
2013 | Conference Paper | IST-REx-ID: 2315   OA
Seiringer R, Yngvason J, Zagrebnov V. 2013. Disordered Bose-Einstein condensates with interaction. ICMP: International Congress on Mathematical Physics 610–619.
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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. ICMP: International Congress on Mathematical Physics 477–485.
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[83]
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.
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[82]
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.
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[81]
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. 24(6).
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[80]
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.
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[79]
2012 | Conference Paper | IST-REx-ID: 2317   OA
Frank R, Hainzl C, Seiringer R, Solovej J. 2012. Microscopic derivation of the Ginzburg-Landau model. ICMP: International Congress on Mathematical Physics 575–583.
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[78]
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).
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[77]
2012 | Book Chapter | IST-REx-ID: 2399
Seiringer R. 2012. Cold quantum gases and bose einstein condensation. Quantum Many Body Systems. , Lecture Notes in Mathematics, vol. 2051. 55–92.
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[76]
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).
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[75]
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.
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[74]
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.
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[73]
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).
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[72]
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.
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[71]
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.
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[70]
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. QMath: Mathematical Results in Quantum Physics 21–32.
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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.
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[68]
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. OTAMP: Operator Theory, Analysis and Mathematical Physics, Operator Theory: Advances and Applications, vol. 214. 39–44.
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[67]
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).
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[66]
2010 | Conference Paper | IST-REx-ID: 2323   OA
Seiringer R. 2010. Hot topics on cold gases. ICMP: International Congress on Mathematical Physics 231–245.
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[65]
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).
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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. Around the Research of Vladimir Maz’ya I. , International Mathematical Series, vol. 11. 161–167.
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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.
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[62]
2010 | Conference Paper | IST-REx-ID: 2322   OA
Frank R, Lieb É, Seiringer R. 2010. Equivalence of Sobolev inequalities and Lieb-Thirring inequalities. ICMP: International Congress on Mathematical Physics 523–535.
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[61]
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. Spectral and Scattering Theory for Quantum Magnetic Systems, Contemporary Mathematics, vol. 500. 101–104.
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[60]
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).
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[59]
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).
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[58]
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.
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[57]
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.
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[56]
2009 | Book | IST-REx-ID: 2326
Lieb É, Seiringer R. 2009. The Stability of Matter in Quantum Mechanics, Cambridge University Press,p.
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[55]
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.
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[54]
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.
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[53]
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.
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[52]
2008 | Conference Paper | IST-REx-ID: 2331   OA
Hainzl C, Seiringer R. 2008. Spectral properties of the BCS gap equation of superfluidity. QMath: Mathematical Results in Quantum Physics 117–136.
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[51]
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.
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[50]
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.
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[49]
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.
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[48]
2008 | Conference Paper | IST-REx-ID: 2332   OA
Seiringer R. 2008. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. QMath: Mathematical Results in Quantum Physics 241–254.
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[47]
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.
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[46]
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).
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[45]
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.
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[44]
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.
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[43]
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.
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[42]
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.
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[41]
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.
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[40]
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.
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[39]
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.
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[38]
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).
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[37]
2006 | Journal Article | IST-REx-ID: 2366   OA
Frank R, Laptev A, Lieb É, Seiringer R. 2006. Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Letters in Mathematical Physics. 77(3), 309–316.
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[36]
2006 | Book Review | IST-REx-ID: 2363   OA
Lieb É, Seiringer R. 2006. Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Communications in Mathematical Physics. 264(2), 505–537.
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[35]
2006 | Book Chapter | IST-REx-ID: 2368
Seiringer R. 2006. Dilute, trapped Bose gases and Bose-Einstein condensation. Large Coulomb Systems. , LNP, vol. 695. 249–274.
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[34]
2006 | Conference Paper | IST-REx-ID: 2333   OA
Lieb É, Seiringer R, Solovej J. 2006. Ground-state energy of a dilute Fermi gas. Differential Equations and Mathematical Physics, Contemporary Mathematics, vol. 412. 239–248.
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[33]
2006 | Journal Article | IST-REx-ID: 2364   OA
Seiringer R. 2006. A correlation estimate for quantum many-body systems at positive temperature. Reviews in Mathematical Physics. 18(3), 233–253.
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[32]
2006 | Book Chapter | IST-REx-ID: 2369   OA
Aizenman M, Lieb É, Seiringer R, Solovej J, Yngvason J. 2006. Bose-Einstein condensation as a quantum phase transition in an optical lattice. Mathematical Physics of Quantum Mechanics. , LNP, vol. 690. 199–215.
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[31]
2006 | Conference Paper | IST-REx-ID: 2334   OA
Seiringer R, Lieb É, Yngvason J. 2006. One-dimensional behavior of dilute, trapped Bose gases in traps. ICMP: International Congress on Mathematical Physics
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[30]
2006 | Journal Article | IST-REx-ID: 2365   OA
Seiringer R. 2006. The thermodynamic pressure of a dilute fermi gas. Communications in Mathematical Physics. 261(3), 729–757.
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[29]
2005 | Book | IST-REx-ID: 2335   OA
Lieb É, Seiringer R, Solovej J, Yngvason J. 2005. The mathematics of the Bose gas and its condensation, Birkhäuser,p.
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[28]
2005 | Journal Article | IST-REx-ID: 2359   OA
Lieb É, Seiringer R, Yngvason J. 2005. Justification of c-number substitutions in bosonic hamiltonians. Physical Review Letters. 94(8).
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[27]
2005 | Journal Article | IST-REx-ID: 2361   OA
Lieb É, Seiringer R. 2005. Stronger subadditivity of entropy. Physical Review A - Atomic, Molecular, and Optical Physics. 71(6).
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[26]
2005 | Book Chapter | IST-REx-ID: 2336   OA
Lieb É, Seiringer R, Solovej J, Yngvason J. 2005. The quantum-mechanical many-body problem: The Bose gas. Perspectives in Analysis. , Mathematical Physics Studies, vol. 27. 97–183.
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[25]
2005 | Journal Article | IST-REx-ID: 2362   OA
Lieb É, Seiringer R, Solovej J. 2005. Ground state energy of the low density Fermi gas. Physical Review A - Atomic, Molecular, and Optical Physics. 71(5).
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[24]
2004 | Journal Article | IST-REx-ID: 2355   OA
Lieb É, Seiringer R. 2004. Equivalent forms of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 115(1–2), 185–190.
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[23]
2004 | Journal Article | IST-REx-ID: 2356   OA
Lieb É, Seiringer R, Yngvason J. 2004. One-dimensional behavior of dilute, trapped Bose gases. Communications in Mathematical Physics. 244(2), 347–393.
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[22]
2004 | Journal Article | IST-REx-ID: 2360   OA
Aizenman M, Lieb É, Seiringer R, Solovej J, Yngvason J. 2004. Bose-Einstein quantum phase transition in an optical lattice model. Physical Review A - Atomic, Molecular, and Optical Physics. 70(2), 023612-1-0236121-2.
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[21]
2003 | Journal Article | IST-REx-ID: 2354   OA
Seiringer R. 2003. Ground state asymptotics of a dilute, rotating gas. Journal of Physics A: Mathematical and Theoretical. 36(37), 9755–9778.
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[20]
2003 | Conference Paper | IST-REx-ID: 2337   OA
Lieb É, Seiringer R. 2003. Bose-Einstein condensation of dilute gases in traps . Differential Equations and Mathematical Physics, Contemporary Mathematics, vol. 327. 239–250.
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[19]
2003 | Journal Article | IST-REx-ID: 2357   OA
Lieb É, Seiringer R, Yngvason J. 2003. Poincaré inequalities in punctured domains. Annals of Mathematics. 158(3), 1067–1080.
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[18]
2003 | Journal Article | IST-REx-ID: 2358   OA
Lieb É, Seiringer R, Yngvason J. 2003. One-dimensional Bosons in three-dimensional traps. Physical Review Letters. 91(15), 1504011–1504014.
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[17]
2002 | Journal Article | IST-REx-ID: 2350   OA
Hainzl C, Seiringer R. 2002. Mass renormalization and energy level shift in non-relativistic QED. Advances in Theoretical and Mathematical Physics. 6(5), 847–871.
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[16]
2002 | Journal Article | IST-REx-ID: 2349   OA
Lieb É, Seiringer R. 2002. Proof of Bose-Einstein condensation for dilute trapped gases. Physical Review Letters. 88(17), 1704091–1704094.
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[15]
2002 | Journal Article | IST-REx-ID: 2351   OA
Seiringer R. 2002. Gross-Pitaevskii theory of the rotating Bose gas. Communications in Mathematical Physics. 229(3), 491–509.
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[14]
2002 | Book Chapter | IST-REx-ID: 2338
Lieb É, Solovej J, Seiringer R, Yngvason J. 2002. The ground state of the Bose gas. Current Developments in Mathematics, 2001. , Current Developments in Mathematics, 131–178.
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[13]
2002 | Journal Article | IST-REx-ID: 2352   OA
Hainzl C, Seiringer R. 2002. General decomposition of radial functions on ℝn and applications to N-body quantum systems. Letters in Mathematical Physics. 61(1), 75–84.
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[12]
2002 | Conference Paper | IST-REx-ID: 2339
Seiringer R. 2002. Symmetry breaking in a model of a rotating Bose gas. QMath: Mathematical Results in Quantum Physics, Contemporary Mathematics, vol. 307. 281–286.
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[11]
2002 | Journal Article | IST-REx-ID: 2353   OA
Lieb É, Seiringer R, Yngvason J. 2002. Superfluidity in dilute trapped Bose gases. Physical Review B - Condensed Matter and Materials Physics. 66(13).
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[10]
2001 | Journal Article | IST-REx-ID: 2347   OA
Lieb É, Seiringer R, Yngvason J. 2001. A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas. Communications in Mathematical Physics. 224(1), 17–31.
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[9]
2001 | Journal Article | IST-REx-ID: 2348   OA
Hainzl C, Seiringer R. 2001. A discrete density matrix theory for atoms in strong magnetic fields. Communications in Mathematical Physics. 217(1), 229–248.
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[8]
2001 | Conference Paper | IST-REx-ID: 2340   OA
Seiringer R. 2001. Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula. PDE: Partial Differential Equations and Spectral Theory, Operator Theory: Advances and Applications, vol. 126. 307–314.
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[7]
2001 | Journal Article | IST-REx-ID: 2345   OA
Seiringer R. 2001. On the maximal ionization of atoms in strong magnetic fields. Journal of Physics A: Mathematical and General. 34(9), 1943–1948.
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[6]
2001 | Journal Article | IST-REx-ID: 2341   OA
Baumgartner B, Seiringer R. 2001. Atoms with bosonic "electrons" in strong magnetic fields. Annales Henri Poincare. 2(1), 41–76.
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[5]
2001 | Journal Article | IST-REx-ID: 2346   OA
Hainzl C, Seiringer R. 2001. Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics. Letters in Mathematical Physics. 55(2), 133–142.
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[4]
2000 | Conference Paper | IST-REx-ID: 2342   OA
Seiringer R, Lieb É, Yngvason J. 2000. The ground state energy and density of interacting bosons in a trap. ISQTS: Quantum Theory and Symmetries 101–110.
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[3]
2000 | Journal Article | IST-REx-ID: 2343   OA
Baumgartner B, Seiringer R. 2000. On the ordering of energy levels in homogeneous magnetic fields. Letters in Mathematical Physics. 54(3), 213–226.
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[2]
2000 | Journal Article | IST-REx-ID: 2344   OA
Lieb É, Seiringer R, Yngvason J. 2000. Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional. Physical Review A - Atomic, Molecular, and Optical Physics. 61(4), 436021–4360213.
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[1]
2000 | Conference Paper | IST-REx-ID: 2325
Seiringer R. 2000. Inequalities for Schrödinger operators and applications to the stability of matter problem . Arizona School of Analysis With Applications, Contemporary Mathematics, vol. 529. 53–72.
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[126]
2019 | Journal Article | IST-REx-ID: 6649   OA
Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. 2019. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics.
View | Files available | DOI | arXiv
 
[125]
2019 | Journal Article | IST-REx-ID: 7015   OA
Lewin M, Lieb EH, Seiringer R. 2019. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 100(3), 035127.
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[124]
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.
View | Files available | DOI | arXiv
 
[123]
2018 | Journal Article | IST-REx-ID: 80   OA
Deuchert A, Seiringer R, Yngvason J. 2018. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics.
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[122]
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.
View | Files available | DOI | arXiv
 
[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.
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[120]
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(19).
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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.
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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).
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[117]
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.
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[116]
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.
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[115]
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.
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[114]
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. Journal of Physics: Conference Series. 24th International Laser Physics Workshop (LPHYS’15) vol. 691.
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[113]
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).
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[112]
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.
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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).
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[110]
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.
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[109]
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).
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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.
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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.
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[106]
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.
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[105]
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.
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[104]
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.
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[103]
2014 | Conference Paper | IST-REx-ID: 1516
Bräunlich G, Hainzl C, Seiringer R. 2014. On the BCS gap equation for superfluid fermionic gases. Proceedings of the QMath12 Conference. QMath: Mathematical Results in Quantum Physics 127–137.
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[102]
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).
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[101]
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).
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[100]
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.
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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).
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[98]
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.
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[97]
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.
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[96]
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.
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[95]
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.
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[94]
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).
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[93]
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).
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[92]
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.
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[91]
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.
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[90]
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.
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[89]
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), 064401.
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[88]
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.
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[87]
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. OTAMP: Operator Theory, Analysis and Mathematical Physics 57–88.
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[86]
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.
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[85]
2013 | Conference Paper | IST-REx-ID: 2315   OA
Seiringer R, Yngvason J, Zagrebnov V. 2013. Disordered Bose-Einstein condensates with interaction. ICMP: International Congress on Mathematical Physics 610–619.
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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. ICMP: International Congress on Mathematical Physics 477–485.
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[83]
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.
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[82]
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.
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[81]
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. 24(6).
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[80]
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.
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[79]
2012 | Conference Paper | IST-REx-ID: 2317   OA
Frank R, Hainzl C, Seiringer R, Solovej J. 2012. Microscopic derivation of the Ginzburg-Landau model. ICMP: International Congress on Mathematical Physics 575–583.
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[78]
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).
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[77]
2012 | Book Chapter | IST-REx-ID: 2399
Seiringer R. 2012. Cold quantum gases and bose einstein condensation. Quantum Many Body Systems. , Lecture Notes in Mathematics, vol. 2051. 55–92.
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[76]
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).
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[75]
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.
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[74]
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.
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[73]
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).
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[72]
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.
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[71]
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.
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[70]
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. QMath: Mathematical Results in Quantum Physics 21–32.
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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.
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[68]
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. OTAMP: Operator Theory, Analysis and Mathematical Physics, Operator Theory: Advances and Applications, vol. 214. 39–44.
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[67]
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).
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[66]
2010 | Conference Paper | IST-REx-ID: 2323   OA
Seiringer R. 2010. Hot topics on cold gases. ICMP: International Congress on Mathematical Physics 231–245.
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[65]
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).
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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. Around the Research of Vladimir Maz’ya I. , International Mathematical Series, vol. 11. 161–167.
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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.
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[62]
2010 | Conference Paper | IST-REx-ID: 2322   OA
Frank R, Lieb É, Seiringer R. 2010. Equivalence of Sobolev inequalities and Lieb-Thirring inequalities. ICMP: International Congress on Mathematical Physics 523–535.
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[61]
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. Spectral and Scattering Theory for Quantum Magnetic Systems, Contemporary Mathematics, vol. 500. 101–104.
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[60]
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).
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[59]
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).
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[58]
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.
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[57]
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.
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[56]
2009 | Book | IST-REx-ID: 2326
Lieb É, Seiringer R. 2009. The Stability of Matter in Quantum Mechanics, Cambridge University Press,p.
View
 
[55]
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.
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[54]
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.
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[53]
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.
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[52]
2008 | Conference Paper | IST-REx-ID: 2331   OA
Hainzl C, Seiringer R. 2008. Spectral properties of the BCS gap equation of superfluidity. QMath: Mathematical Results in Quantum Physics 117–136.
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[51]
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.
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[50]
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.
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[49]
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.
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[48]
2008 | Conference Paper | IST-REx-ID: 2332   OA
Seiringer R. 2008. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. QMath: Mathematical Results in Quantum Physics 241–254.
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[47]
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.
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[46]
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).
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[45]
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.
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[44]
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.
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[43]
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.
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[42]
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.
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[41]
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.
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[40]
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.
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[39]
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.
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[38]
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).
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[37]
2006 | Journal Article | IST-REx-ID: 2366   OA
Frank R, Laptev A, Lieb É, Seiringer R. 2006. Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Letters in Mathematical Physics. 77(3), 309–316.
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[36]
2006 | Book Review | IST-REx-ID: 2363   OA
Lieb É, Seiringer R. 2006. Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Communications in Mathematical Physics. 264(2), 505–537.
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[35]
2006 | Book Chapter | IST-REx-ID: 2368
Seiringer R. 2006. Dilute, trapped Bose gases and Bose-Einstein condensation. Large Coulomb Systems. , LNP, vol. 695. 249–274.
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[34]
2006 | Conference Paper | IST-REx-ID: 2333   OA
Lieb É, Seiringer R, Solovej J. 2006. Ground-state energy of a dilute Fermi gas. Differential Equations and Mathematical Physics, Contemporary Mathematics, vol. 412. 239–248.
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[33]
2006 | Journal Article | IST-REx-ID: 2364   OA
Seiringer R. 2006. A correlation estimate for quantum many-body systems at positive temperature. Reviews in Mathematical Physics. 18(3), 233–253.
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[32]
2006 | Book Chapter | IST-REx-ID: 2369   OA
Aizenman M, Lieb É, Seiringer R, Solovej J, Yngvason J. 2006. Bose-Einstein condensation as a quantum phase transition in an optical lattice. Mathematical Physics of Quantum Mechanics. , LNP, vol. 690. 199–215.
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[31]
2006 | Conference Paper | IST-REx-ID: 2334   OA
Seiringer R, Lieb É, Yngvason J. 2006. One-dimensional behavior of dilute, trapped Bose gases in traps. ICMP: International Congress on Mathematical Physics
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[30]
2006 | Journal Article | IST-REx-ID: 2365   OA
Seiringer R. 2006. The thermodynamic pressure of a dilute fermi gas. Communications in Mathematical Physics. 261(3), 729–757.
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[29]
2005 | Book | IST-REx-ID: 2335   OA
Lieb É, Seiringer R, Solovej J, Yngvason J. 2005. The mathematics of the Bose gas and its condensation, Birkhäuser,p.
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[28]
2005 | Journal Article | IST-REx-ID: 2359   OA
Lieb É, Seiringer R, Yngvason J. 2005. Justification of c-number substitutions in bosonic hamiltonians. Physical Review Letters. 94(8).
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[27]
2005 | Journal Article | IST-REx-ID: 2361   OA
Lieb É, Seiringer R. 2005. Stronger subadditivity of entropy. Physical Review A - Atomic, Molecular, and Optical Physics. 71(6).
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[26]
2005 | Book Chapter | IST-REx-ID: 2336   OA
Lieb É, Seiringer R, Solovej J, Yngvason J. 2005. The quantum-mechanical many-body problem: The Bose gas. Perspectives in Analysis. , Mathematical Physics Studies, vol. 27. 97–183.
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[25]
2005 | Journal Article | IST-REx-ID: 2362   OA
Lieb É, Seiringer R, Solovej J. 2005. Ground state energy of the low density Fermi gas. Physical Review A - Atomic, Molecular, and Optical Physics. 71(5).
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[24]
2004 | Journal Article | IST-REx-ID: 2355   OA
Lieb É, Seiringer R. 2004. Equivalent forms of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 115(1–2), 185–190.
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[23]
2004 | Journal Article | IST-REx-ID: 2356   OA
Lieb É, Seiringer R, Yngvason J. 2004. One-dimensional behavior of dilute, trapped Bose gases. Communications in Mathematical Physics. 244(2), 347–393.
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[22]
2004 | Journal Article | IST-REx-ID: 2360   OA
Aizenman M, Lieb É, Seiringer R, Solovej J, Yngvason J. 2004. Bose-Einstein quantum phase transition in an optical lattice model. Physical Review A - Atomic, Molecular, and Optical Physics. 70(2), 023612-1-0236121-2.
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[21]
2003 | Journal Article | IST-REx-ID: 2354   OA
Seiringer R. 2003. Ground state asymptotics of a dilute, rotating gas. Journal of Physics A: Mathematical and Theoretical. 36(37), 9755–9778.
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[20]
2003 | Conference Paper | IST-REx-ID: 2337   OA
Lieb É, Seiringer R. 2003. Bose-Einstein condensation of dilute gases in traps . Differential Equations and Mathematical Physics, Contemporary Mathematics, vol. 327. 239–250.
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[19]
2003 | Journal Article | IST-REx-ID: 2357   OA
Lieb É, Seiringer R, Yngvason J. 2003. Poincaré inequalities in punctured domains. Annals of Mathematics. 158(3), 1067–1080.
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[18]
2003 | Journal Article | IST-REx-ID: 2358   OA
Lieb É, Seiringer R, Yngvason J. 2003. One-dimensional Bosons in three-dimensional traps. Physical Review Letters. 91(15), 1504011–1504014.
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[17]
2002 | Journal Article | IST-REx-ID: 2350   OA
Hainzl C, Seiringer R. 2002. Mass renormalization and energy level shift in non-relativistic QED. Advances in Theoretical and Mathematical Physics. 6(5), 847–871.
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[16]
2002 | Journal Article | IST-REx-ID: 2349   OA
Lieb É, Seiringer R. 2002. Proof of Bose-Einstein condensation for dilute trapped gases. Physical Review Letters. 88(17), 1704091–1704094.
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[15]
2002 | Journal Article | IST-REx-ID: 2351   OA
Seiringer R. 2002. Gross-Pitaevskii theory of the rotating Bose gas. Communications in Mathematical Physics. 229(3), 491–509.
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[14]
2002 | Book Chapter | IST-REx-ID: 2338
Lieb É, Solovej J, Seiringer R, Yngvason J. 2002. The ground state of the Bose gas. Current Developments in Mathematics, 2001. , Current Developments in Mathematics, 131–178.
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[13]
2002 | Journal Article | IST-REx-ID: 2352   OA
Hainzl C, Seiringer R. 2002. General decomposition of radial functions on ℝn and applications to N-body quantum systems. Letters in Mathematical Physics. 61(1), 75–84.
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[12]
2002 | Conference Paper | IST-REx-ID: 2339
Seiringer R. 2002. Symmetry breaking in a model of a rotating Bose gas. QMath: Mathematical Results in Quantum Physics, Contemporary Mathematics, vol. 307. 281–286.
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[11]
2002 | Journal Article | IST-REx-ID: 2353   OA
Lieb É, Seiringer R, Yngvason J. 2002. Superfluidity in dilute trapped Bose gases. Physical Review B - Condensed Matter and Materials Physics. 66(13).
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[10]
2001 | Journal Article | IST-REx-ID: 2347   OA
Lieb É, Seiringer R, Yngvason J. 2001. A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas. Communications in Mathematical Physics. 224(1), 17–31.
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[9]
2001 | Journal Article | IST-REx-ID: 2348   OA
Hainzl C, Seiringer R. 2001. A discrete density matrix theory for atoms in strong magnetic fields. Communications in Mathematical Physics. 217(1), 229–248.
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[8]
2001 | Conference Paper | IST-REx-ID: 2340   OA
Seiringer R. 2001. Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula. PDE: Partial Differential Equations and Spectral Theory, Operator Theory: Advances and Applications, vol. 126. 307–314.
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[7]
2001 | Journal Article | IST-REx-ID: 2345   OA
Seiringer R. 2001. On the maximal ionization of atoms in strong magnetic fields. Journal of Physics A: Mathematical and General. 34(9), 1943–1948.
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[6]
2001 | Journal Article | IST-REx-ID: 2341   OA
Baumgartner B, Seiringer R. 2001. Atoms with bosonic "electrons" in strong magnetic fields. Annales Henri Poincare. 2(1), 41–76.
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[5]
2001 | Journal Article | IST-REx-ID: 2346   OA
Hainzl C, Seiringer R. 2001. Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics. Letters in Mathematical Physics. 55(2), 133–142.
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[4]
2000 | Conference Paper | IST-REx-ID: 2342   OA
Seiringer R, Lieb É, Yngvason J. 2000. The ground state energy and density of interacting bosons in a trap. ISQTS: Quantum Theory and Symmetries 101–110.
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[3]
2000 | Journal Article | IST-REx-ID: 2343   OA
Baumgartner B, Seiringer R. 2000. On the ordering of energy levels in homogeneous magnetic fields. Letters in Mathematical Physics. 54(3), 213–226.
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[2]
2000 | Journal Article | IST-REx-ID: 2344   OA
Lieb É, Seiringer R, Yngvason J. 2000. Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional. Physical Review A - Atomic, Molecular, and Optical Physics. 61(4), 436021–4360213.
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[1]
2000 | Conference Paper | IST-REx-ID: 2325
Seiringer R. 2000. Inequalities for Schrödinger operators and applications to the stability of matter problem . Arizona School of Analysis With Applications, Contemporary Mathematics, vol. 529. 53–72.
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