126 Publications

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[126]
2019 | Journal Article | IST-REx-ID: 6649   OA
N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime,” Communications in Mathematical Physics, 2019.
View | Files available | DOI | arXiv
 
[125]
2019 | Journal Article | IST-REx-ID: 7015   OA
M. Lewin, E. H. Lieb, and R. Seiringer, “Floating Wigner crystal with no boundary charge fluctuations,” Physical Review B, vol. 100, no. 3, p. 035127, 2019.
View | DOI | Download (ext.) | arXiv
 
[124]
2019 | Journal Article | IST-REx-ID: 5856   OA
T. Moser and R. Seiringer, “Energy contribution of a point-interacting impurity in a Fermi gas,” Annales Henri Poincare, 2019.
View | Files available | DOI | arXiv
 
[123]
2018 | Journal Article | IST-REx-ID: 80   OA
A. Deuchert, R. Seiringer, and J. Yngvason, “Bose–Einstein condensation in a dilute, trapped gas at positive temperature,” Communications in Mathematical Physics, 2018.
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[122]
2018 | Journal Article | IST-REx-ID: 295   OA
D. Lundholm and R. Seiringer, “Fermionic behavior of ideal anyons,” Letters in Mathematical Physics, vol. 108, no. 11, pp. 2523–2541, 2018.
View | Files available | DOI | arXiv
 
[121]
2018 | Journal Article | IST-REx-ID: 180   OA
M. Lewi, É. Lieb, and R. Seiringer, “Statistical mechanics of the uniform electron gas,” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5, pp. 79–116, 2018.
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[120]
2018 | Journal Article | IST-REx-ID: 154   OA
T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point interactions,” Mathematical Physics Analysis and Geometry, vol. 21, no. 19, 2018.
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[119]
2017 | Journal Article | IST-REx-ID: 1198   OA
T. Moser and R. Seiringer, “Triviality of a model of particles with point interactions in the thermodynamic limit,” Letters in Mathematical Physics, vol. 107, no. 3, pp. 533–552, 2017.
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[118]
2017 | Journal Article | IST-REx-ID: 1120   OA
X. Li, R. Seiringer, and M. Lemeshko, “Angular self-localization of impurities rotating in a bosonic bath,” Physical Review A, vol. 95, no. 3, 2017.
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[117]
2017 | Journal Article | IST-REx-ID: 741   OA
T. Moser and R. Seiringer, “Stability of a fermionic N+1 particle system with point interactions,” Communications in Mathematical Physics, vol. 356, no. 1, pp. 329–355, 2017.
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[116]
2016 | Journal Article | IST-REx-ID: 1143   OA
P. Nam, N. Rougerie, and R. Seiringer, “Ground states of large bosonic systems: The gross Pitaevskii limit revisited,” Analysis and PDE, vol. 9, no. 2, pp. 459–485, 2016.
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[115]
2016 | Journal Article | IST-REx-ID: 1422   OA
R. Frank, C. Hainzl, B. Schlein, and R. Seiringer, “Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations,” Letters in Mathematical Physics, vol. 106, no. 7, pp. 913–923, 2016.
View | Files available | DOI
 
[114]
2016 | Conference Paper | IST-REx-ID: 1428   OA
M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential,” in Journal of Physics: Conference Series, Shanghai, China, 2016, vol. 691, no. 1.
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[113]
2016 | Journal Article | IST-REx-ID: 1478   OA
R. Seiringer and S. Warzel, “Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas,” New Journal of Physics, vol. 18, no. 3, 2016.
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[112]
2016 | Journal Article | IST-REx-ID: 1620   OA
R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “The external field dependence of the BCS critical temperature,” Communications in Mathematical Physics, vol. 342, no. 1, pp. 189–216, 2016.
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[111]
2016 | Journal Article | IST-REx-ID: 1486   OA
C. Hainzl and R. Seiringer, “The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties,” Journal of Mathematical Physics, vol. 57, no. 2, 2016.
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[110]
2016 | Journal Article | IST-REx-ID: 1291   OA
A. Giuliani and R. Seiringer, “Periodic striped ground states in Ising models with competing interactions,” Communications in Mathematical Physics, vol. 347, no. 3, pp. 983–1007, 2016.
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[109]
2016 | Journal Article | IST-REx-ID: 1259   OA
G. Bräunlich, C. Hainzl, and R. Seiringer, “Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit,” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2, 2016.
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[108]
2015 | Journal Article | IST-REx-ID: 1572   OA
M. Correggi, A. Giuliani, and R. Seiringer, “Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet,” Communications in Mathematical Physics, vol. 339, no. 1, pp. 279–307, 2015.
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[107]
2015 | Journal Article | IST-REx-ID: 1573   OA
T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti,” Communications on Pure and Applied Mathematics, vol. 68, no. 10, pp. 1845–1884, 2015.
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[106]
2015 | Journal Article | IST-REx-ID: 1880   OA
M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluid behavior of a Bose-Einstein condensate in a random potential,” New Journal of Physics, vol. 17, 2015.
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[105]
2015 | Journal Article | IST-REx-ID: 2085   OA
P. Nam and R. Seiringer, “Collective excitations of Bose gases in the mean-field regime,” Archive for Rational Mechanics and Analysis, vol. 215, no. 2, pp. 381–417, 2015.
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[104]
2015 | Journal Article | IST-REx-ID: 1704   OA
A. Deuchert, C. Hainzl, and R. Seiringer, “Note on a family of monotone quantum relative entropies,” Letters in Mathematical Physics, vol. 105, no. 10, pp. 1449–1466, 2015.
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[103]
2014 | Conference Paper | IST-REx-ID: 1516
G. Bräunlich, C. Hainzl, and R. Seiringer, “On the BCS gap equation for superfluid fermionic gases,” in Proceedings of the QMath12 Conference, 2014, pp. 127–137.
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[102]
2014 | Journal Article | IST-REx-ID: 1821   OA
R. Seiringer, “Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation,” Journal of Mathematical Physics, vol. 55, no. 7, 2014.
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[101]
2014 | Journal Article | IST-REx-ID: 1889   OA
G. Bräunlich, C. Hainzl, and R. Seiringer, “Translation-invariant quasi-free states for fermionic systems and the BCS approximation,” Reviews in Mathematical Physics, vol. 26, no. 7, 2014.
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[100]
2014 | Journal Article | IST-REx-ID: 1935   OA
A. Giuliani, É. Lieb, and R. Seiringer, “Formation of stripes and slabs near the ferromagnetic transition,” Communications in Mathematical Physics, vol. 331, no. 1, pp. 333–350, 2014.
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[99]
2014 | Journal Article | IST-REx-ID: 1822
V. Jakšić, C. Pillet, and R. Seiringer, “Introduction,” Journal of Mathematical Physics, vol. 55, no. 7, 2014.
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[98]
2014 | Journal Article | IST-REx-ID: 1904   OA
R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Strichartz inequality for orthonormal functions,” Journal of the European Mathematical Society, vol. 16, no. 7, pp. 1507–1526, 2014.
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[97]
2014 | Journal Article | IST-REx-ID: 2281   OA
Y. Guo and R. Seiringer, “On the mass concentration for Bose-Einstein condensates with attractive interactions,” Letters in Mathematical Physics, vol. 104, no. 2, pp. 141–156, 2014.
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[96]
2014 | Journal Article | IST-REx-ID: 2407   OA
É. Lieb and R. Seiringer, “Equivalence of two definitions of the effective mass of a polaron,” Journal of Statistical Physics, vol. 154, no. 1–2, pp. 51–57, 2014.
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[95]
2014 | Journal Article | IST-REx-ID: 2186   OA
T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti,” Letters in Mathematical Physics, vol. 104, no. 7, pp. 871–891, 2014.
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[94]
2014 | Journal Article | IST-REx-ID: 1918   OA
J. Bellazzini, R. Frank, É. Lieb, and R. Seiringer, “Existence of ground states for negative ions at the binding threshold,” Reviews in Mathematical Physics, vol. 26, no. 1, 2014.
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[93]
2014 | Journal Article | IST-REx-ID: 2029   OA
M. Correggi, A. Giuliani, and R. Seiringer, “Validity of spin-wave theory for the quantum Heisenberg model,” EPL, vol. 108, no. 2, 2014.
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[92]
2013 | Journal Article | IST-REx-ID: 2405   OA
R. Frank, É. Lieb, and R. Seiringer, “Symmetry of bipolaron bound states for small Coulomb repulsion,” Communications in Mathematical Physics, vol. 319, no. 2, pp. 557–573, 2013.
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[91]
2013 | Journal Article | IST-REx-ID: 2406
R. Seiringer, J. Yngvason, and V. Zagrebnov, “Condensation of interacting bosons in a random potential,” European Physical Journal: Special Topics, vol. 217, no. 1, pp. 103–107, 2013.
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[90]
2013 | Journal Article | IST-REx-ID: 2297   OA
R. Seiringer, “Hot topics in cold gases: A mathematical physics perspective,” Japanese Journal of Mathematics, vol. 8, no. 2, pp. 185–232, 2013.
View | DOI | Download (ext.) | arXiv
 
[89]
2013 | Journal Article | IST-REx-ID: 2300   OA
A. Giuliani, É. Lieb, and R. Seiringer, “Realization of stripes and slabs in two and three dimensions,” Physical Review B, vol. 88, no. 6, p. 064401, 2013.
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[88]
2013 | Journal Article | IST-REx-ID: 2408   OA
P. Grech and R. Seiringer, “The excitation spectrum for weakly interacting Bosons in a trap,” Communications in Mathematical Physics, vol. 322, no. 2, pp. 559–591, 2013.
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[87]
2013 | Conference Paper | IST-REx-ID: 2319   OA
R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “ Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction,” presented at the OTAMP: Operator Theory, Analysis and Mathematical Physics, 2013, pp. 57–88.
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[86]
2013 | Journal Article | IST-REx-ID: 2404   OA
R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “A positive density analogue of the Lieb-Thirring inequality,” Duke Mathematical Journal, vol. 162, no. 3, pp. 435–495, 2013.
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[85]
2013 | Conference Paper | IST-REx-ID: 2315   OA
R. Seiringer, J. Yngvason, and V. Zagrebnov, “Disordered Bose-Einstein condensates with interaction,” presented at the ICMP: International Congress on Mathematical Physics, 2013, pp. 610–619.
View | DOI | Download (ext.) | arXiv
 
[84]
2012 | Conference Paper | IST-REx-ID: 2316   OA
R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Ground state properties of multi-polaron systems,” presented at the ICMP: International Congress on Mathematical Physics, 2012, pp. 477–485.
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[83]
2012 | Journal Article | IST-REx-ID: 2397   OA
C. Hainzl and R. Seiringer, “Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs,” Letters in Mathematical Physics, vol. 100, no. 2, pp. 119–138, 2012.
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[82]
2012 | Journal Article | IST-REx-ID: 2400   OA
R. Frank, É. Lieb, and R. Seiringer, “Binding of polarons and atoms at threshold,” Communications in Mathematical Physics, vol. 313, no. 2, pp. 405–424, 2012.
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[81]
2012 | Book Review | IST-REx-ID: 2398   OA
V. Jakšić, Y. Ogata, C. Pillet, and R. Seiringer, “Quantum hypothesis testing and non-equilibrium statistical mechanics,” Reviews in Mathematical Physics, vol. 24, no. 6. World Scientific Publishing, 2012.
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[80]
2012 | Journal Article | IST-REx-ID: 2401   OA
É. Lieb and R. Seiringer, “Further implications of the Bessis-Moussa-Villani conjecture,” Journal of Statistical Physics, vol. 149, no. 1, pp. 86–91, 2012.
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[79]
2012 | Conference Paper | IST-REx-ID: 2317   OA
R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation of the Ginzburg-Landau model,” presented at the ICMP: International Congress on Mathematical Physics, 2012, pp. 575–583.
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[78]
2012 | Journal Article | IST-REx-ID: 2394
A. Freiji, C. Hainzl, and R. Seiringer, “The gap equation for spin-polarized fermions,” Journal of Mathematical Physics, vol. 53, no. 1, 2012.
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[77]
2012 | Book Chapter | IST-REx-ID: 2399
R. Seiringer, “Cold quantum gases and bose einstein condensation,” in Quantum Many Body Systems, vol. 2051, V. Rivasseau, R. Seiringer, J. Solovej, and T. Spencer, Eds. Springer, 2012, pp. 55–92.
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[76]
2012 | Journal Article | IST-REx-ID: 2402   OA
R. Frank and R. Seiringer, “Lieb-Thirring inequality for a model of particles with point interactions,” Journal of Mathematical Physics, vol. 53, no. 9, 2012.
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[75]
2012 | Journal Article | IST-REx-ID: 2318   OA
R. Seiringer, “Absence of bound states implies non-negativity of the scattering length,” Journal of Spectral Theory, vol. 2, no. 3, pp. 321–328, 2012.
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[74]
2012 | Journal Article | IST-REx-ID: 2395   OA
R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation of Ginzburg-Landau theory,” Journal of the American Mathematical Society, vol. 25, no. 3, pp. 667–713, 2012.
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[73]
2012 | Journal Article | IST-REx-ID: 2403   OA
R. Seiringer, J. Yngvason, and V. Zagrebnov, “Disordered Bose-Einstein condensates with interaction in one dimension,” Journal of Statistical Mechanics Theory and Experiment, vol. 2012, no. 11, 2012.
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[72]
2012 | Journal Article | IST-REx-ID: 2396   OA
B. Landon and R. Seiringer, “The scattering length at positive temperature,” Letters in Mathematical Physics, vol. 100, no. 3, pp. 237–243, 2012.
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[71]
2011 | Journal Article | IST-REx-ID: 2393   OA
R. Seiringer, “The excitation spectrum for weakly interacting Bosons,” Communications in Mathematical Physics, vol. 306, no. 2, pp. 565–578, 2011.
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[70]
2011 | Conference Paper | IST-REx-ID: 2320   OA
R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Binding, stability, and non-binding of multi-polaron systems,” presented at the QMath: Mathematical Results in Quantum Physics, 2011, pp. 21–32.
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[69]
2011 | Journal Article | IST-REx-ID: 2390   OA
R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Stability and absence of binding for multi-polaron systems,” Publications Mathematiques de l Institut des Hautes Etudes Scientifiques, vol. 113, no. 1, pp. 39–67, 2011.
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[68]
2011 | Conference Paper | IST-REx-ID: 2321   OA
R. Frank, A. Laptev, and R. Seiringer, “ A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials,” presented at the OTAMP: Operator Theory, Analysis and Mathematical Physics, 2011, vol. 214, pp. 39–44.
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[67]
2011 | Journal Article | IST-REx-ID: 2391   OA
R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Energy cost to make a hole in the fermi sea,” Physical Review Letters, vol. 106, no. 15, 2011.
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[66]
2010 | Conference Paper | IST-REx-ID: 2323   OA
R. Seiringer, “Hot topics on cold gases,” presented at the ICMP: International Congress on Mathematical Physics, 2010, pp. 231–245.
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[65]
2010 | Journal Article | IST-REx-ID: 2392   OA
R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Bipolaron and N-polaron binding energies,” Physical Review Letters, vol. 104, no. 21, 2010.
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[64]
2010 | Book Chapter | IST-REx-ID: 2324   OA
R. Frank and R. Seiringer, “Sharp fractional Hardy inequalities in half-spaces,” in Around the Research of Vladimir Maz’ya I, vol. 11, Springer, 2010, pp. 161–167.
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[63]
2010 | Journal Article | IST-REx-ID: 2389   OA
C. Hainzl and R. Seiringer, “Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy,” Mathematische Nachrichten, vol. 283, no. 3, pp. 489–499, 2010.
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[62]
2010 | Conference Paper | IST-REx-ID: 2322   OA
R. Frank, É. Lieb, and R. Seiringer, “ Equivalence of Sobolev inequalities and Lieb-Thirring inequalities,” presented at the ICMP: International Congress on Mathematical Physics, 2010, pp. 523–535.
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[61]
2009 | Conference Paper | IST-REx-ID: 2330
C. Hainzl and R. Seiringer, “A linear criterion for solutions of non-linear equations, with application to the BCS gap equation,” presented at the Spectral and Scattering Theory for Quantum Magnetic Systems, 2009, vol. 500, pp. 101–104.
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[60]
2009 | Journal Article | IST-REx-ID: 2385   OA
É. Lieb, R. Seiringer, and J. Yngvason, “Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 79, no. 6, 2009.
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[59]
2009 | Journal Article | IST-REx-ID: 2386   OA
R. Seiringer and D. Ueltschi, “Rigorous upper bound on the critical temperature of dilute Bose gases,” Physical Review B - Condensed Matter and Materials Physics, vol. 80, no. 1, 2009.
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[58]
2009 | Journal Article | IST-REx-ID: 2387   OA
M. Lewin and R. Seiringer, “Strongly correlated phases in rapidly rotating Bose gases,” Journal of Statistical Physics, vol. 137, no. 5, pp. 1040–1062, 2009.
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[57]
2009 | Journal Article | IST-REx-ID: 2388   OA
J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, and S. Kulkarni, “Probabilistic coherence and proper scoring rules,” IEEE Transactions on Information Theory, vol. 55, no. 10, pp. 4786–4792, 2009.
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[56]
2009 | Book | IST-REx-ID: 2326
É. Lieb and R. Seiringer, The Stability of Matter in Quantum Mechanics. Cambridge University Press, 2009.
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[55]
2009 | Journal Article | IST-REx-ID: 2384   OA
A. Giuliani and R. Seiringer, “The ground state energy of the weakly interacting Bose gas at high density,” Journal of Statistical Physics, vol. 135, no. 5–6, pp. 915–934, 2009.
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[54]
2008 | Journal Article | IST-REx-ID: 2378   OA
R. Seiringer and J. Yin, “Ground state energy of the low density hubbard model,” Journal of Statistical Physics, vol. 131, no. 6, pp. 1139–1154, 2008.
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[53]
2008 | Journal Article | IST-REx-ID: 2380   OA
C. Hainzl, E. Hamza, R. Seiringer, and J. Solovej, “The BCS functional for general pair interactions,” Communications in Mathematical Physics, vol. 281, no. 2, pp. 349–367, 2008.
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[52]
2008 | Conference Paper | IST-REx-ID: 2331   OA
C. Hainzl and R. Seiringer, “ Spectral properties of the BCS gap equation of superfluidity,” presented at the QMath: Mathematical Results in Quantum Physics, 2008, pp. 117–136.
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[51]
2008 | Journal Article | IST-REx-ID: 2374   OA
R. Seiringer, “Free energy of a dilute Bose gas: Lower bound,” Communications in Mathematical Physics, vol. 279, no. 3, pp. 595–636, 2008.
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[50]
2008 | Journal Article | IST-REx-ID: 2379   OA
R. Frank, É. Lieb, and R. Seiringer, “Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators,” Journal of the American Mathematical Society, vol. 21, no. 4, pp. 925–950, 2008.
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[49]
2008 | Journal Article | IST-REx-ID: 2381   OA
R. Frank and R. Seiringer, “Non-linear ground state representations and sharp Hardy inequalities,” Journal of Functional Analysis, vol. 255, no. 12, pp. 3407–3430, 2008.
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[48]
2008 | Conference Paper | IST-REx-ID: 2332   OA
R. Seiringer, “Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases,” presented at the QMath: Mathematical Results in Quantum Physics, 2008, pp. 241–254.
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[47]
2008 | Journal Article | IST-REx-ID: 2382   OA
R. Seiringer and J. Yin, “The Lieb-Liniger model as a limit of dilute bosons in three dimensions,” Communications in Mathematical Physics, vol. 284, no. 2, pp. 459–479, 2008.
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[46]
2008 | Journal Article | IST-REx-ID: 2376   OA
C. Hainzl and R. Seiringer, “Critical temperature and energy gap for the BCS equation,” Physical Review B - Condensed Matter and Materials Physics, vol. 77, no. 18, 2008.
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[45]
2008 | Journal Article | IST-REx-ID: 2383   OA
C. Hainzl, M. Lewin, and R. Seiringer, “A nonlinear model for relativistic electrons at positive temperature,” Reviews in Mathematical Physics, vol. 20, no. 10, pp. 1283–1307, 2008.
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[44]
2008 | Journal Article | IST-REx-ID: 2377   OA
C. Hainzl and R. Seiringer, “The BCS critical temperature for potentials with negative scattering length,” Letters in Mathematical Physics, vol. 84, no. 2–3, pp. 99–107, 2008.
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[43]
2007 | Journal Article | IST-REx-ID: 2373   OA
R. Frank, C. Hainzl, S. Naboko, and R. Seiringer, “The critical temperature for the BCS equation at weak coupling,” Journal of Geometric Analysis, vol. 17, no. 4, pp. 559–567, 2007.
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[42]
2007 | Journal Article | IST-REx-ID: 2367   OA
R. Seiringer, “On the failure of subadditivity of the Wigner-Yanase entropy,” Letters in Mathematical Physics, vol. 80, no. 3, pp. 285–288, 2007.
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[41]
2007 | Journal Article | IST-REx-ID: 2370   OA
É. Lieb, R. Seiringer, and J. Yngvason, “Bose-Einstein condensation and spontaneous symmetry breaking,” Reports on Mathematical Physics, vol. 59, no. 3, pp. 389–399, 2007.
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[40]
2007 | Journal Article | IST-REx-ID: 2375   OA
R. Frank, É. Lieb, and R. Seiringer, “Number of bound states of Schrödinger operators with matrix-valued potentials,” Letters in Mathematical Physics, vol. 82, no. 2–3, pp. 107–116, 2007.
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[39]
2007 | Journal Article | IST-REx-ID: 2371   OA
R. Frank, É. Lieb, and R. Seiringer, “Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value,” Communications in Mathematical Physics, vol. 275, no. 2, pp. 479–489, 2007.
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[38]
2007 | Journal Article | IST-REx-ID: 2372   OA
R. Frank, É. Lieb, R. Seiringer, and H. Siedentop, “Müller’s exchange-correlation energy in density-matrix-functional theory,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 76, no. 5, 2007.
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[37]
2006 | Journal Article | IST-REx-ID: 2366   OA
R. Frank, A. Laptev, É. Lieb, and R. Seiringer, “Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials,” Letters in Mathematical Physics, vol. 77, no. 3, pp. 309–316, 2006.
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[36]
2006 | Book Review | IST-REx-ID: 2363   OA
É. Lieb and R. Seiringer, “Derivation of the Gross-Pitaevskii equation for rotating Bose gases,” Communications in Mathematical Physics, vol. 264, no. 2. Springer, pp. 505–537, 2006.
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[35]
2006 | Book Chapter | IST-REx-ID: 2368
R. Seiringer, “Dilute, trapped Bose gases and Bose-Einstein condensation,” in Large Coulomb Systems, vol. 695, J. Dereziński and H. Siedentop, Eds. Springer, 2006, pp. 249–274.
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[34]
2006 | Conference Paper | IST-REx-ID: 2333   OA
É. Lieb, R. Seiringer, and J. Solovej, “Ground-state energy of a dilute Fermi gas,” presented at the Differential Equations and Mathematical Physics, 2006, vol. 412, pp. 239–248.
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[33]
2006 | Journal Article | IST-REx-ID: 2364   OA
R. Seiringer, “A correlation estimate for quantum many-body systems at positive temperature,” Reviews in Mathematical Physics, vol. 18, no. 3, pp. 233–253, 2006.
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[32]
2006 | Book Chapter | IST-REx-ID: 2369   OA
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, “Bose-Einstein condensation as a quantum phase transition in an optical lattice,” in Mathematical Physics of Quantum Mechanics, vol. 690, J. Asch and A. Joye, Eds. Springer, 2006, pp. 199–215.
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[31]
2006 | Conference Paper | IST-REx-ID: 2334   OA
R. Seiringer, É. Lieb, and J. Yngvason, “One-dimensional behavior of dilute, trapped Bose gases in traps,” presented at the ICMP: International Congress on Mathematical Physics, 2006.
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[30]
2006 | Journal Article | IST-REx-ID: 2365   OA
R. Seiringer, “The thermodynamic pressure of a dilute fermi gas,” Communications in Mathematical Physics, vol. 261, no. 3, pp. 729–757, 2006.
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[29]
2005 | Book | IST-REx-ID: 2335   OA
É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, The mathematics of the Bose gas and its condensation, vol. 34. Birkhäuser, 2005.
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[28]
2005 | Journal Article | IST-REx-ID: 2359   OA
É. Lieb, R. Seiringer, and J. Yngvason, “Justification of c-number substitutions in bosonic hamiltonians,” Physical Review Letters, vol. 94, no. 8, 2005.
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[27]
2005 | Journal Article | IST-REx-ID: 2361   OA
É. Lieb and R. Seiringer, “Stronger subadditivity of entropy,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 6, 2005.
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[26]
2005 | Book Chapter | IST-REx-ID: 2336   OA
É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, “The quantum-mechanical many-body problem: The Bose gas,” in Perspectives in Analysis, vol. 27, M. Benedicks, P. Jones, S. Smirnov, and B. Winckler, Eds. Springer, 2005, pp. 97–183.
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[25]
2005 | Journal Article | IST-REx-ID: 2362   OA
É. Lieb, R. Seiringer, and J. Solovej, “Ground state energy of the low density Fermi gas,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 5, 2005.
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[24]
2004 | Journal Article | IST-REx-ID: 2355   OA
É. Lieb and R. Seiringer, “ Equivalent forms of the Bessis-Moussa-Villani conjecture,” Journal of Statistical Physics, vol. 115, no. 1–2, pp. 185–190, 2004.
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[23]
2004 | Journal Article | IST-REx-ID: 2356   OA
É. Lieb, R. Seiringer, and J. Yngvason, “One-dimensional behavior of dilute, trapped Bose gases,” Communications in Mathematical Physics, vol. 244, no. 2, pp. 347–393, 2004.
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[22]
2004 | Journal Article | IST-REx-ID: 2360   OA
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, “Bose-Einstein quantum phase transition in an optical lattice model,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 70, no. 2, pp. 023612-1-0236121-2, 2004.
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[21]
2003 | Journal Article | IST-REx-ID: 2354   OA
R. Seiringer, “Ground state asymptotics of a dilute, rotating gas,” Journal of Physics A: Mathematical and Theoretical, vol. 36, no. 37, pp. 9755–9778, 2003.
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[20]
2003 | Conference Paper | IST-REx-ID: 2337   OA
É. Lieb and R. Seiringer, “Bose-Einstein condensation of dilute gases in traps ,” presented at the Differential Equations and Mathematical Physics, 2003, vol. 327, pp. 239–250.
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[19]
2003 | Journal Article | IST-REx-ID: 2357   OA
É. Lieb, R. Seiringer, and J. Yngvason, “Poincaré inequalities in punctured domains,” Annals of Mathematics, vol. 158, no. 3, pp. 1067–1080, 2003.
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[18]
2003 | Journal Article | IST-REx-ID: 2358   OA
É. Lieb, R. Seiringer, and J. Yngvason, “One-dimensional Bosons in three-dimensional traps,” Physical Review Letters, vol. 91, no. 15, pp. 1504011–1504014, 2003.
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[17]
2002 | Journal Article | IST-REx-ID: 2350   OA
C. Hainzl and R. Seiringer, “Mass renormalization and energy level shift in non-relativistic QED,” Advances in Theoretical and Mathematical Physics, vol. 6, no. 5, pp. 847–871, 2002.
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[16]
2002 | Journal Article | IST-REx-ID: 2349   OA
É. Lieb and R. Seiringer, “Proof of Bose-Einstein condensation for dilute trapped gases,” Physical Review Letters, vol. 88, no. 17, pp. 1704091–1704094, 2002.
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[15]
2002 | Journal Article | IST-REx-ID: 2351   OA
R. Seiringer, “Gross-Pitaevskii theory of the rotating Bose gas,” Communications in Mathematical Physics, vol. 229, no. 3, pp. 491–509, 2002.
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[14]
2002 | Book Chapter | IST-REx-ID: 2338
É. Lieb, J. Solovej, R. Seiringer, and J. Yngvason, “The ground state of the Bose gas,” in Current Developments in Mathematics, 2001, International Press, 2002, pp. 131–178.
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[13]
2002 | Journal Article | IST-REx-ID: 2352   OA
C. Hainzl and R. Seiringer, “General decomposition of radial functions on ℝn and applications to N-body quantum systems,” Letters in Mathematical Physics, vol. 61, no. 1, pp. 75–84, 2002.
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[12]
2002 | Conference Paper | IST-REx-ID: 2339
R. Seiringer, “Symmetry breaking in a model of a rotating Bose gas,” presented at the QMath: Mathematical Results in Quantum Physics, 2002, vol. 307, pp. 281–286.
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[11]
2002 | Journal Article | IST-REx-ID: 2353   OA
É. Lieb, R. Seiringer, and J. Yngvason, “Superfluidity in dilute trapped Bose gases,” Physical Review B - Condensed Matter and Materials Physics, vol. 66, no. 13, 2002.
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[10]
2001 | Journal Article | IST-REx-ID: 2347   OA
É. Lieb, R. Seiringer, and J. Yngvason, “A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas,” Communications in Mathematical Physics, vol. 224, no. 1, pp. 17–31, 2001.
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[9]
2001 | Journal Article | IST-REx-ID: 2348   OA
C. Hainzl and R. Seiringer, “A discrete density matrix theory for atoms in strong magnetic fields,” Communications in Mathematical Physics, vol. 217, no. 1, pp. 229–248, 2001.
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[8]
2001 | Conference Paper | IST-REx-ID: 2340   OA
R. Seiringer, “Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula,” presented at the PDE: Partial Differential Equations and Spectral Theory, 2001, vol. 126, pp. 307–314.
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[7]
2001 | Journal Article | IST-REx-ID: 2345   OA
R. Seiringer, “On the maximal ionization of atoms in strong magnetic fields,” Journal of Physics A: Mathematical and General, vol. 34, no. 9, pp. 1943–1948, 2001.
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[6]
2001 | Journal Article | IST-REx-ID: 2341   OA
B. Baumgartner and R. Seiringer, “Atoms with bosonic "electrons" in strong magnetic fields,” Annales Henri Poincare, vol. 2, no. 1, pp. 41–76, 2001.
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[5]
2001 | Journal Article | IST-REx-ID: 2346   OA
C. Hainzl and R. Seiringer, “Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics,” Letters in Mathematical Physics, vol. 55, no. 2, pp. 133–142, 2001.
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[4]
2000 | Conference Paper | IST-REx-ID: 2342   OA
R. Seiringer, É. Lieb, and J. Yngvason, “The ground state energy and density of interacting bosons in a trap,” presented at the ISQTS: Quantum Theory and Symmetries, 2000, pp. 101–110.
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[3]
2000 | Journal Article | IST-REx-ID: 2343   OA
B. Baumgartner and R. Seiringer, “On the ordering of energy levels in homogeneous magnetic fields,” Letters in Mathematical Physics, vol. 54, no. 3, pp. 213–226, 2000.
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[2]
2000 | Journal Article | IST-REx-ID: 2344   OA
É. Lieb, R. Seiringer, and J. Yngvason, “Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 61, no. 4, pp. 436021–4360213, 2000.
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[1]
2000 | Conference Paper | IST-REx-ID: 2325
R. Seiringer, “Inequalities for Schrödinger operators and applications to the stability of matter problem ,” presented at the Arizona School of Analysis With Applications, 2000, vol. 529, pp. 53–72.
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[126]
2019 | Journal Article | IST-REx-ID: 6649   OA
N. P. Benedikter, P. T. Nam, M. Porta, B. Schlein, and R. Seiringer, “Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime,” Communications in Mathematical Physics, 2019.
View | Files available | DOI | arXiv
 
[125]
2019 | Journal Article | IST-REx-ID: 7015   OA
M. Lewin, E. H. Lieb, and R. Seiringer, “Floating Wigner crystal with no boundary charge fluctuations,” Physical Review B, vol. 100, no. 3, p. 035127, 2019.
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[124]
2019 | Journal Article | IST-REx-ID: 5856   OA
T. Moser and R. Seiringer, “Energy contribution of a point-interacting impurity in a Fermi gas,” Annales Henri Poincare, 2019.
View | Files available | DOI | arXiv
 
[123]
2018 | Journal Article | IST-REx-ID: 80   OA
A. Deuchert, R. Seiringer, and J. Yngvason, “Bose–Einstein condensation in a dilute, trapped gas at positive temperature,” Communications in Mathematical Physics, 2018.
View | Files available | DOI
 
[122]
2018 | Journal Article | IST-REx-ID: 295   OA
D. Lundholm and R. Seiringer, “Fermionic behavior of ideal anyons,” Letters in Mathematical Physics, vol. 108, no. 11, pp. 2523–2541, 2018.
View | Files available | DOI | arXiv
 
[121]
2018 | Journal Article | IST-REx-ID: 180   OA
M. Lewi, É. Lieb, and R. Seiringer, “Statistical mechanics of the uniform electron gas,” Journal de l’Ecole Polytechnique - Mathematiques, vol. 5, pp. 79–116, 2018.
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[120]
2018 | Journal Article | IST-REx-ID: 154   OA
T. Moser and R. Seiringer, “Stability of the 2+2 fermionic system with point interactions,” Mathematical Physics Analysis and Geometry, vol. 21, no. 19, 2018.
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[119]
2017 | Journal Article | IST-REx-ID: 1198   OA
T. Moser and R. Seiringer, “Triviality of a model of particles with point interactions in the thermodynamic limit,” Letters in Mathematical Physics, vol. 107, no. 3, pp. 533–552, 2017.
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[118]
2017 | Journal Article | IST-REx-ID: 1120   OA
X. Li, R. Seiringer, and M. Lemeshko, “Angular self-localization of impurities rotating in a bosonic bath,” Physical Review A, vol. 95, no. 3, 2017.
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[117]
2017 | Journal Article | IST-REx-ID: 741   OA
T. Moser and R. Seiringer, “Stability of a fermionic N+1 particle system with point interactions,” Communications in Mathematical Physics, vol. 356, no. 1, pp. 329–355, 2017.
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[116]
2016 | Journal Article | IST-REx-ID: 1143   OA
P. Nam, N. Rougerie, and R. Seiringer, “Ground states of large bosonic systems: The gross Pitaevskii limit revisited,” Analysis and PDE, vol. 9, no. 2, pp. 459–485, 2016.
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[115]
2016 | Journal Article | IST-REx-ID: 1422   OA
R. Frank, C. Hainzl, B. Schlein, and R. Seiringer, “Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations,” Letters in Mathematical Physics, vol. 106, no. 7, pp. 913–923, 2016.
View | Files available | DOI
 
[114]
2016 | Conference Paper | IST-REx-ID: 1428   OA
M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential,” in Journal of Physics: Conference Series, Shanghai, China, 2016, vol. 691, no. 1.
View | Files available | DOI
 
[113]
2016 | Journal Article | IST-REx-ID: 1478   OA
R. Seiringer and S. Warzel, “Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas,” New Journal of Physics, vol. 18, no. 3, 2016.
View | Files available | DOI
 
[112]
2016 | Journal Article | IST-REx-ID: 1620   OA
R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “The external field dependence of the BCS critical temperature,” Communications in Mathematical Physics, vol. 342, no. 1, pp. 189–216, 2016.
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[111]
2016 | Journal Article | IST-REx-ID: 1486   OA
C. Hainzl and R. Seiringer, “The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties,” Journal of Mathematical Physics, vol. 57, no. 2, 2016.
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[110]
2016 | Journal Article | IST-REx-ID: 1291   OA
A. Giuliani and R. Seiringer, “Periodic striped ground states in Ising models with competing interactions,” Communications in Mathematical Physics, vol. 347, no. 3, pp. 983–1007, 2016.
View | Files available | DOI
 
[109]
2016 | Journal Article | IST-REx-ID: 1259   OA
G. Bräunlich, C. Hainzl, and R. Seiringer, “Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit,” Mathematical Physics, Analysis and Geometry, vol. 19, no. 2, 2016.
View | Files available | DOI
 
[108]
2015 | Journal Article | IST-REx-ID: 1572   OA
M. Correggi, A. Giuliani, and R. Seiringer, “Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet,” Communications in Mathematical Physics, vol. 339, no. 1, pp. 279–307, 2015.
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[107]
2015 | Journal Article | IST-REx-ID: 1573   OA
T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti,” Communications on Pure and Applied Mathematics, vol. 68, no. 10, pp. 1845–1884, 2015.
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[106]
2015 | Journal Article | IST-REx-ID: 1880   OA
M. Könenberg, T. Moser, R. Seiringer, and J. Yngvason, “Superfluid behavior of a Bose-Einstein condensate in a random potential,” New Journal of Physics, vol. 17, 2015.
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[105]
2015 | Journal Article | IST-REx-ID: 2085   OA
P. Nam and R. Seiringer, “Collective excitations of Bose gases in the mean-field regime,” Archive for Rational Mechanics and Analysis, vol. 215, no. 2, pp. 381–417, 2015.
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[104]
2015 | Journal Article | IST-REx-ID: 1704   OA
A. Deuchert, C. Hainzl, and R. Seiringer, “Note on a family of monotone quantum relative entropies,” Letters in Mathematical Physics, vol. 105, no. 10, pp. 1449–1466, 2015.
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[103]
2014 | Conference Paper | IST-REx-ID: 1516
G. Bräunlich, C. Hainzl, and R. Seiringer, “On the BCS gap equation for superfluid fermionic gases,” in Proceedings of the QMath12 Conference, 2014, pp. 127–137.
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[102]
2014 | Journal Article | IST-REx-ID: 1821   OA
R. Seiringer, “Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation,” Journal of Mathematical Physics, vol. 55, no. 7, 2014.
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[101]
2014 | Journal Article | IST-REx-ID: 1889   OA
G. Bräunlich, C. Hainzl, and R. Seiringer, “Translation-invariant quasi-free states for fermionic systems and the BCS approximation,” Reviews in Mathematical Physics, vol. 26, no. 7, 2014.
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[100]
2014 | Journal Article | IST-REx-ID: 1935   OA
A. Giuliani, É. Lieb, and R. Seiringer, “Formation of stripes and slabs near the ferromagnetic transition,” Communications in Mathematical Physics, vol. 331, no. 1, pp. 333–350, 2014.
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[99]
2014 | Journal Article | IST-REx-ID: 1822
V. Jakšić, C. Pillet, and R. Seiringer, “Introduction,” Journal of Mathematical Physics, vol. 55, no. 7, 2014.
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[98]
2014 | Journal Article | IST-REx-ID: 1904   OA
R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Strichartz inequality for orthonormal functions,” Journal of the European Mathematical Society, vol. 16, no. 7, pp. 1507–1526, 2014.
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[97]
2014 | Journal Article | IST-REx-ID: 2281   OA
Y. Guo and R. Seiringer, “On the mass concentration for Bose-Einstein condensates with attractive interactions,” Letters in Mathematical Physics, vol. 104, no. 2, pp. 141–156, 2014.
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[96]
2014 | Journal Article | IST-REx-ID: 2407   OA
É. Lieb and R. Seiringer, “Equivalence of two definitions of the effective mass of a polaron,” Journal of Statistical Physics, vol. 154, no. 1–2, pp. 51–57, 2014.
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[95]
2014 | Journal Article | IST-REx-ID: 2186   OA
T. Chen, C. Hainzl, N. Pavlović, and R. Seiringer, “On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti,” Letters in Mathematical Physics, vol. 104, no. 7, pp. 871–891, 2014.
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[94]
2014 | Journal Article | IST-REx-ID: 1918   OA
J. Bellazzini, R. Frank, É. Lieb, and R. Seiringer, “Existence of ground states for negative ions at the binding threshold,” Reviews in Mathematical Physics, vol. 26, no. 1, 2014.
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[93]
2014 | Journal Article | IST-REx-ID: 2029   OA
M. Correggi, A. Giuliani, and R. Seiringer, “Validity of spin-wave theory for the quantum Heisenberg model,” EPL, vol. 108, no. 2, 2014.
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[92]
2013 | Journal Article | IST-REx-ID: 2405   OA
R. Frank, É. Lieb, and R. Seiringer, “Symmetry of bipolaron bound states for small Coulomb repulsion,” Communications in Mathematical Physics, vol. 319, no. 2, pp. 557–573, 2013.
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[91]
2013 | Journal Article | IST-REx-ID: 2406
R. Seiringer, J. Yngvason, and V. Zagrebnov, “Condensation of interacting bosons in a random potential,” European Physical Journal: Special Topics, vol. 217, no. 1, pp. 103–107, 2013.
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[90]
2013 | Journal Article | IST-REx-ID: 2297   OA
R. Seiringer, “Hot topics in cold gases: A mathematical physics perspective,” Japanese Journal of Mathematics, vol. 8, no. 2, pp. 185–232, 2013.
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[89]
2013 | Journal Article | IST-REx-ID: 2300   OA
A. Giuliani, É. Lieb, and R. Seiringer, “Realization of stripes and slabs in two and three dimensions,” Physical Review B, vol. 88, no. 6, p. 064401, 2013.
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[88]
2013 | Journal Article | IST-REx-ID: 2408   OA
P. Grech and R. Seiringer, “The excitation spectrum for weakly interacting Bosons in a trap,” Communications in Mathematical Physics, vol. 322, no. 2, pp. 559–591, 2013.
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[87]
2013 | Conference Paper | IST-REx-ID: 2319   OA
R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “ Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction,” presented at the OTAMP: Operator Theory, Analysis and Mathematical Physics, 2013, pp. 57–88.
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[86]
2013 | Journal Article | IST-REx-ID: 2404   OA
R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “A positive density analogue of the Lieb-Thirring inequality,” Duke Mathematical Journal, vol. 162, no. 3, pp. 435–495, 2013.
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[85]
2013 | Conference Paper | IST-REx-ID: 2315   OA
R. Seiringer, J. Yngvason, and V. Zagrebnov, “Disordered Bose-Einstein condensates with interaction,” presented at the ICMP: International Congress on Mathematical Physics, 2013, pp. 610–619.
View | DOI | Download (ext.) | arXiv
 
[84]
2012 | Conference Paper | IST-REx-ID: 2316   OA
R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Ground state properties of multi-polaron systems,” presented at the ICMP: International Congress on Mathematical Physics, 2012, pp. 477–485.
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[83]
2012 | Journal Article | IST-REx-ID: 2397   OA
C. Hainzl and R. Seiringer, “Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs,” Letters in Mathematical Physics, vol. 100, no. 2, pp. 119–138, 2012.
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[82]
2012 | Journal Article | IST-REx-ID: 2400   OA
R. Frank, É. Lieb, and R. Seiringer, “Binding of polarons and atoms at threshold,” Communications in Mathematical Physics, vol. 313, no. 2, pp. 405–424, 2012.
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[81]
2012 | Book Review | IST-REx-ID: 2398   OA
V. Jakšić, Y. Ogata, C. Pillet, and R. Seiringer, “Quantum hypothesis testing and non-equilibrium statistical mechanics,” Reviews in Mathematical Physics, vol. 24, no. 6. World Scientific Publishing, 2012.
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[80]
2012 | Journal Article | IST-REx-ID: 2401   OA
É. Lieb and R. Seiringer, “Further implications of the Bessis-Moussa-Villani conjecture,” Journal of Statistical Physics, vol. 149, no. 1, pp. 86–91, 2012.
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[79]
2012 | Conference Paper | IST-REx-ID: 2317   OA
R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation of the Ginzburg-Landau model,” presented at the ICMP: International Congress on Mathematical Physics, 2012, pp. 575–583.
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[78]
2012 | Journal Article | IST-REx-ID: 2394
A. Freiji, C. Hainzl, and R. Seiringer, “The gap equation for spin-polarized fermions,” Journal of Mathematical Physics, vol. 53, no. 1, 2012.
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[77]
2012 | Book Chapter | IST-REx-ID: 2399
R. Seiringer, “Cold quantum gases and bose einstein condensation,” in Quantum Many Body Systems, vol. 2051, V. Rivasseau, R. Seiringer, J. Solovej, and T. Spencer, Eds. Springer, 2012, pp. 55–92.
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[76]
2012 | Journal Article | IST-REx-ID: 2402   OA
R. Frank and R. Seiringer, “Lieb-Thirring inequality for a model of particles with point interactions,” Journal of Mathematical Physics, vol. 53, no. 9, 2012.
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[75]
2012 | Journal Article | IST-REx-ID: 2318   OA
R. Seiringer, “Absence of bound states implies non-negativity of the scattering length,” Journal of Spectral Theory, vol. 2, no. 3, pp. 321–328, 2012.
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[74]
2012 | Journal Article | IST-REx-ID: 2395   OA
R. Frank, C. Hainzl, R. Seiringer, and J. Solovej, “Microscopic derivation of Ginzburg-Landau theory,” Journal of the American Mathematical Society, vol. 25, no. 3, pp. 667–713, 2012.
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[73]
2012 | Journal Article | IST-REx-ID: 2403   OA
R. Seiringer, J. Yngvason, and V. Zagrebnov, “Disordered Bose-Einstein condensates with interaction in one dimension,” Journal of Statistical Mechanics Theory and Experiment, vol. 2012, no. 11, 2012.
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[72]
2012 | Journal Article | IST-REx-ID: 2396   OA
B. Landon and R. Seiringer, “The scattering length at positive temperature,” Letters in Mathematical Physics, vol. 100, no. 3, pp. 237–243, 2012.
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[71]
2011 | Journal Article | IST-REx-ID: 2393   OA
R. Seiringer, “The excitation spectrum for weakly interacting Bosons,” Communications in Mathematical Physics, vol. 306, no. 2, pp. 565–578, 2011.
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[70]
2011 | Conference Paper | IST-REx-ID: 2320   OA
R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Binding, stability, and non-binding of multi-polaron systems,” presented at the QMath: Mathematical Results in Quantum Physics, 2011, pp. 21–32.
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[69]
2011 | Journal Article | IST-REx-ID: 2390   OA
R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Stability and absence of binding for multi-polaron systems,” Publications Mathematiques de l Institut des Hautes Etudes Scientifiques, vol. 113, no. 1, pp. 39–67, 2011.
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[68]
2011 | Conference Paper | IST-REx-ID: 2321   OA
R. Frank, A. Laptev, and R. Seiringer, “ A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials,” presented at the OTAMP: Operator Theory, Analysis and Mathematical Physics, 2011, vol. 214, pp. 39–44.
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[67]
2011 | Journal Article | IST-REx-ID: 2391   OA
R. Frank, M. Lewin, É. Lieb, and R. Seiringer, “Energy cost to make a hole in the fermi sea,” Physical Review Letters, vol. 106, no. 15, 2011.
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[66]
2010 | Conference Paper | IST-REx-ID: 2323   OA
R. Seiringer, “Hot topics on cold gases,” presented at the ICMP: International Congress on Mathematical Physics, 2010, pp. 231–245.
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[65]
2010 | Journal Article | IST-REx-ID: 2392   OA
R. Frank, É. Lieb, R. Seiringer, and L. Thomas, “Bipolaron and N-polaron binding energies,” Physical Review Letters, vol. 104, no. 21, 2010.
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[64]
2010 | Book Chapter | IST-REx-ID: 2324   OA
R. Frank and R. Seiringer, “Sharp fractional Hardy inequalities in half-spaces,” in Around the Research of Vladimir Maz’ya I, vol. 11, Springer, 2010, pp. 161–167.
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[63]
2010 | Journal Article | IST-REx-ID: 2389   OA
C. Hainzl and R. Seiringer, “Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy,” Mathematische Nachrichten, vol. 283, no. 3, pp. 489–499, 2010.
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[62]
2010 | Conference Paper | IST-REx-ID: 2322   OA
R. Frank, É. Lieb, and R. Seiringer, “ Equivalence of Sobolev inequalities and Lieb-Thirring inequalities,” presented at the ICMP: International Congress on Mathematical Physics, 2010, pp. 523–535.
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[61]
2009 | Conference Paper | IST-REx-ID: 2330
C. Hainzl and R. Seiringer, “A linear criterion for solutions of non-linear equations, with application to the BCS gap equation,” presented at the Spectral and Scattering Theory for Quantum Magnetic Systems, 2009, vol. 500, pp. 101–104.
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[60]
2009 | Journal Article | IST-REx-ID: 2385   OA
É. Lieb, R. Seiringer, and J. Yngvason, “Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 79, no. 6, 2009.
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[59]
2009 | Journal Article | IST-REx-ID: 2386   OA
R. Seiringer and D. Ueltschi, “Rigorous upper bound on the critical temperature of dilute Bose gases,” Physical Review B - Condensed Matter and Materials Physics, vol. 80, no. 1, 2009.
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[58]
2009 | Journal Article | IST-REx-ID: 2387   OA
M. Lewin and R. Seiringer, “Strongly correlated phases in rapidly rotating Bose gases,” Journal of Statistical Physics, vol. 137, no. 5, pp. 1040–1062, 2009.
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[57]
2009 | Journal Article | IST-REx-ID: 2388   OA
J. Predd, R. Seiringer, É. Lieb, D. Osherson, H. Poor, and S. Kulkarni, “Probabilistic coherence and proper scoring rules,” IEEE Transactions on Information Theory, vol. 55, no. 10, pp. 4786–4792, 2009.
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[56]
2009 | Book | IST-REx-ID: 2326
É. Lieb and R. Seiringer, The Stability of Matter in Quantum Mechanics. Cambridge University Press, 2009.
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[55]
2009 | Journal Article | IST-REx-ID: 2384   OA
A. Giuliani and R. Seiringer, “The ground state energy of the weakly interacting Bose gas at high density,” Journal of Statistical Physics, vol. 135, no. 5–6, pp. 915–934, 2009.
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[54]
2008 | Journal Article | IST-REx-ID: 2378   OA
R. Seiringer and J. Yin, “Ground state energy of the low density hubbard model,” Journal of Statistical Physics, vol. 131, no. 6, pp. 1139–1154, 2008.
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[53]
2008 | Journal Article | IST-REx-ID: 2380   OA
C. Hainzl, E. Hamza, R. Seiringer, and J. Solovej, “The BCS functional for general pair interactions,” Communications in Mathematical Physics, vol. 281, no. 2, pp. 349–367, 2008.
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[52]
2008 | Conference Paper | IST-REx-ID: 2331   OA
C. Hainzl and R. Seiringer, “ Spectral properties of the BCS gap equation of superfluidity,” presented at the QMath: Mathematical Results in Quantum Physics, 2008, pp. 117–136.
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[51]
2008 | Journal Article | IST-REx-ID: 2374   OA
R. Seiringer, “Free energy of a dilute Bose gas: Lower bound,” Communications in Mathematical Physics, vol. 279, no. 3, pp. 595–636, 2008.
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[50]
2008 | Journal Article | IST-REx-ID: 2379   OA
R. Frank, É. Lieb, and R. Seiringer, “Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators,” Journal of the American Mathematical Society, vol. 21, no. 4, pp. 925–950, 2008.
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[49]
2008 | Journal Article | IST-REx-ID: 2381   OA
R. Frank and R. Seiringer, “Non-linear ground state representations and sharp Hardy inequalities,” Journal of Functional Analysis, vol. 255, no. 12, pp. 3407–3430, 2008.
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[48]
2008 | Conference Paper | IST-REx-ID: 2332   OA
R. Seiringer, “Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases,” presented at the QMath: Mathematical Results in Quantum Physics, 2008, pp. 241–254.
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[47]
2008 | Journal Article | IST-REx-ID: 2382   OA
R. Seiringer and J. Yin, “The Lieb-Liniger model as a limit of dilute bosons in three dimensions,” Communications in Mathematical Physics, vol. 284, no. 2, pp. 459–479, 2008.
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[46]
2008 | Journal Article | IST-REx-ID: 2376   OA
C. Hainzl and R. Seiringer, “Critical temperature and energy gap for the BCS equation,” Physical Review B - Condensed Matter and Materials Physics, vol. 77, no. 18, 2008.
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[45]
2008 | Journal Article | IST-REx-ID: 2383   OA
C. Hainzl, M. Lewin, and R. Seiringer, “A nonlinear model for relativistic electrons at positive temperature,” Reviews in Mathematical Physics, vol. 20, no. 10, pp. 1283–1307, 2008.
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[44]
2008 | Journal Article | IST-REx-ID: 2377   OA
C. Hainzl and R. Seiringer, “The BCS critical temperature for potentials with negative scattering length,” Letters in Mathematical Physics, vol. 84, no. 2–3, pp. 99–107, 2008.
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[43]
2007 | Journal Article | IST-REx-ID: 2373   OA
R. Frank, C. Hainzl, S. Naboko, and R. Seiringer, “The critical temperature for the BCS equation at weak coupling,” Journal of Geometric Analysis, vol. 17, no. 4, pp. 559–567, 2007.
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[42]
2007 | Journal Article | IST-REx-ID: 2367   OA
R. Seiringer, “On the failure of subadditivity of the Wigner-Yanase entropy,” Letters in Mathematical Physics, vol. 80, no. 3, pp. 285–288, 2007.
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[41]
2007 | Journal Article | IST-REx-ID: 2370   OA
É. Lieb, R. Seiringer, and J. Yngvason, “Bose-Einstein condensation and spontaneous symmetry breaking,” Reports on Mathematical Physics, vol. 59, no. 3, pp. 389–399, 2007.
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[40]
2007 | Journal Article | IST-REx-ID: 2375   OA
R. Frank, É. Lieb, and R. Seiringer, “Number of bound states of Schrödinger operators with matrix-valued potentials,” Letters in Mathematical Physics, vol. 82, no. 2–3, pp. 107–116, 2007.
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[39]
2007 | Journal Article | IST-REx-ID: 2371   OA
R. Frank, É. Lieb, and R. Seiringer, “Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value,” Communications in Mathematical Physics, vol. 275, no. 2, pp. 479–489, 2007.
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[38]
2007 | Journal Article | IST-REx-ID: 2372   OA
R. Frank, É. Lieb, R. Seiringer, and H. Siedentop, “Müller’s exchange-correlation energy in density-matrix-functional theory,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 76, no. 5, 2007.
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[37]
2006 | Journal Article | IST-REx-ID: 2366   OA
R. Frank, A. Laptev, É. Lieb, and R. Seiringer, “Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials,” Letters in Mathematical Physics, vol. 77, no. 3, pp. 309–316, 2006.
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[36]
2006 | Book Review | IST-REx-ID: 2363   OA
É. Lieb and R. Seiringer, “Derivation of the Gross-Pitaevskii equation for rotating Bose gases,” Communications in Mathematical Physics, vol. 264, no. 2. Springer, pp. 505–537, 2006.
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[35]
2006 | Book Chapter | IST-REx-ID: 2368
R. Seiringer, “Dilute, trapped Bose gases and Bose-Einstein condensation,” in Large Coulomb Systems, vol. 695, J. Dereziński and H. Siedentop, Eds. Springer, 2006, pp. 249–274.
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[34]
2006 | Conference Paper | IST-REx-ID: 2333   OA
É. Lieb, R. Seiringer, and J. Solovej, “Ground-state energy of a dilute Fermi gas,” presented at the Differential Equations and Mathematical Physics, 2006, vol. 412, pp. 239–248.
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[33]
2006 | Journal Article | IST-REx-ID: 2364   OA
R. Seiringer, “A correlation estimate for quantum many-body systems at positive temperature,” Reviews in Mathematical Physics, vol. 18, no. 3, pp. 233–253, 2006.
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[32]
2006 | Book Chapter | IST-REx-ID: 2369   OA
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, “Bose-Einstein condensation as a quantum phase transition in an optical lattice,” in Mathematical Physics of Quantum Mechanics, vol. 690, J. Asch and A. Joye, Eds. Springer, 2006, pp. 199–215.
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[31]
2006 | Conference Paper | IST-REx-ID: 2334   OA
R. Seiringer, É. Lieb, and J. Yngvason, “One-dimensional behavior of dilute, trapped Bose gases in traps,” presented at the ICMP: International Congress on Mathematical Physics, 2006.
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[30]
2006 | Journal Article | IST-REx-ID: 2365   OA
R. Seiringer, “The thermodynamic pressure of a dilute fermi gas,” Communications in Mathematical Physics, vol. 261, no. 3, pp. 729–757, 2006.
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[29]
2005 | Book | IST-REx-ID: 2335   OA
É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, The mathematics of the Bose gas and its condensation, vol. 34. Birkhäuser, 2005.
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[28]
2005 | Journal Article | IST-REx-ID: 2359   OA
É. Lieb, R. Seiringer, and J. Yngvason, “Justification of c-number substitutions in bosonic hamiltonians,” Physical Review Letters, vol. 94, no. 8, 2005.
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[27]
2005 | Journal Article | IST-REx-ID: 2361   OA
É. Lieb and R. Seiringer, “Stronger subadditivity of entropy,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 6, 2005.
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[26]
2005 | Book Chapter | IST-REx-ID: 2336   OA
É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, “The quantum-mechanical many-body problem: The Bose gas,” in Perspectives in Analysis, vol. 27, M. Benedicks, P. Jones, S. Smirnov, and B. Winckler, Eds. Springer, 2005, pp. 97–183.
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[25]
2005 | Journal Article | IST-REx-ID: 2362   OA
É. Lieb, R. Seiringer, and J. Solovej, “Ground state energy of the low density Fermi gas,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 71, no. 5, 2005.
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[24]
2004 | Journal Article | IST-REx-ID: 2355   OA
É. Lieb and R. Seiringer, “ Equivalent forms of the Bessis-Moussa-Villani conjecture,” Journal of Statistical Physics, vol. 115, no. 1–2, pp. 185–190, 2004.
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[23]
2004 | Journal Article | IST-REx-ID: 2356   OA
É. Lieb, R. Seiringer, and J. Yngvason, “One-dimensional behavior of dilute, trapped Bose gases,” Communications in Mathematical Physics, vol. 244, no. 2, pp. 347–393, 2004.
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[22]
2004 | Journal Article | IST-REx-ID: 2360   OA
M. Aizenman, É. Lieb, R. Seiringer, J. Solovej, and J. Yngvason, “Bose-Einstein quantum phase transition in an optical lattice model,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 70, no. 2, pp. 023612-1-0236121-2, 2004.
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[21]
2003 | Journal Article | IST-REx-ID: 2354   OA
R. Seiringer, “Ground state asymptotics of a dilute, rotating gas,” Journal of Physics A: Mathematical and Theoretical, vol. 36, no. 37, pp. 9755–9778, 2003.
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[20]
2003 | Conference Paper | IST-REx-ID: 2337   OA
É. Lieb and R. Seiringer, “Bose-Einstein condensation of dilute gases in traps ,” presented at the Differential Equations and Mathematical Physics, 2003, vol. 327, pp. 239–250.
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[19]
2003 | Journal Article | IST-REx-ID: 2357   OA
É. Lieb, R. Seiringer, and J. Yngvason, “Poincaré inequalities in punctured domains,” Annals of Mathematics, vol. 158, no. 3, pp. 1067–1080, 2003.
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[18]
2003 | Journal Article | IST-REx-ID: 2358   OA
É. Lieb, R. Seiringer, and J. Yngvason, “One-dimensional Bosons in three-dimensional traps,” Physical Review Letters, vol. 91, no. 15, pp. 1504011–1504014, 2003.
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[17]
2002 | Journal Article | IST-REx-ID: 2350   OA
C. Hainzl and R. Seiringer, “Mass renormalization and energy level shift in non-relativistic QED,” Advances in Theoretical and Mathematical Physics, vol. 6, no. 5, pp. 847–871, 2002.
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[16]
2002 | Journal Article | IST-REx-ID: 2349   OA
É. Lieb and R. Seiringer, “Proof of Bose-Einstein condensation for dilute trapped gases,” Physical Review Letters, vol. 88, no. 17, pp. 1704091–1704094, 2002.
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[15]
2002 | Journal Article | IST-REx-ID: 2351   OA
R. Seiringer, “Gross-Pitaevskii theory of the rotating Bose gas,” Communications in Mathematical Physics, vol. 229, no. 3, pp. 491–509, 2002.
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[14]
2002 | Book Chapter | IST-REx-ID: 2338
É. Lieb, J. Solovej, R. Seiringer, and J. Yngvason, “The ground state of the Bose gas,” in Current Developments in Mathematics, 2001, International Press, 2002, pp. 131–178.
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[13]
2002 | Journal Article | IST-REx-ID: 2352   OA
C. Hainzl and R. Seiringer, “General decomposition of radial functions on ℝn and applications to N-body quantum systems,” Letters in Mathematical Physics, vol. 61, no. 1, pp. 75–84, 2002.
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[12]
2002 | Conference Paper | IST-REx-ID: 2339
R. Seiringer, “Symmetry breaking in a model of a rotating Bose gas,” presented at the QMath: Mathematical Results in Quantum Physics, 2002, vol. 307, pp. 281–286.
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[11]
2002 | Journal Article | IST-REx-ID: 2353   OA
É. Lieb, R. Seiringer, and J. Yngvason, “Superfluidity in dilute trapped Bose gases,” Physical Review B - Condensed Matter and Materials Physics, vol. 66, no. 13, 2002.
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[10]
2001 | Journal Article | IST-REx-ID: 2347   OA
É. Lieb, R. Seiringer, and J. Yngvason, “A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas,” Communications in Mathematical Physics, vol. 224, no. 1, pp. 17–31, 2001.
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[9]
2001 | Journal Article | IST-REx-ID: 2348   OA
C. Hainzl and R. Seiringer, “A discrete density matrix theory for atoms in strong magnetic fields,” Communications in Mathematical Physics, vol. 217, no. 1, pp. 229–248, 2001.
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[8]
2001 | Conference Paper | IST-REx-ID: 2340   OA
R. Seiringer, “Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula,” presented at the PDE: Partial Differential Equations and Spectral Theory, 2001, vol. 126, pp. 307–314.
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[7]
2001 | Journal Article | IST-REx-ID: 2345   OA
R. Seiringer, “On the maximal ionization of atoms in strong magnetic fields,” Journal of Physics A: Mathematical and General, vol. 34, no. 9, pp. 1943–1948, 2001.
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[6]
2001 | Journal Article | IST-REx-ID: 2341   OA
B. Baumgartner and R. Seiringer, “Atoms with bosonic "electrons" in strong magnetic fields,” Annales Henri Poincare, vol. 2, no. 1, pp. 41–76, 2001.
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[5]
2001 | Journal Article | IST-REx-ID: 2346   OA
C. Hainzl and R. Seiringer, “Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics,” Letters in Mathematical Physics, vol. 55, no. 2, pp. 133–142, 2001.
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[4]
2000 | Conference Paper | IST-REx-ID: 2342   OA
R. Seiringer, É. Lieb, and J. Yngvason, “The ground state energy and density of interacting bosons in a trap,” presented at the ISQTS: Quantum Theory and Symmetries, 2000, pp. 101–110.
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[3]
2000 | Journal Article | IST-REx-ID: 2343   OA
B. Baumgartner and R. Seiringer, “On the ordering of energy levels in homogeneous magnetic fields,” Letters in Mathematical Physics, vol. 54, no. 3, pp. 213–226, 2000.
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[2]
2000 | Journal Article | IST-REx-ID: 2344   OA
É. Lieb, R. Seiringer, and J. Yngvason, “Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional,” Physical Review A - Atomic, Molecular, and Optical Physics, vol. 61, no. 4, pp. 436021–4360213, 2000.
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[1]
2000 | Conference Paper | IST-REx-ID: 2325
R. Seiringer, “Inequalities for Schrödinger operators and applications to the stability of matter problem ,” presented at the Arizona School of Analysis With Applications, 2000, vol. 529, pp. 53–72.
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