Frank R, Lieb É, Seiringer R, Thomas L. Stability and absence of binding for multi-polaron systems. Publications Mathematiques de l Institut des Hautes Etudes Scientifiques. 2011;113(1):39-67. doi:10.1007/s10240-011-0031-5

Frank R, Lewin M, Lieb É, Seiringer R. Energy cost to make a hole in the fermi sea. Physical Review Letters. 2011;106(15). doi:10.1103/PhysRevLett.106.150402

Seiringer R. The excitation spectrum for weakly interacting Bosons. Communications in Mathematical Physics. 2011;306(2):565-578. doi:10.1007/s00220-011-1261-6

Frank R, Lieb É, Seiringer R.10.1142/9789814304634_0045 __Equivalence of Sobolev inequalities and Lieb-Thirring inequalities. In: World Scientific Publishing; 2010:523-535. doi:10.1142/9789814304634_0045 

Seiringer R. Hot topics on cold gases. In: World Scientific Publishing; 2010:231-245. doi:10.1142/9789814304634_0013

Frank R, Seiringer R. Sharp fractional Hardy inequalities in half-spaces. In: Around the Research of Vladimir Maz’ya I. Vol 11. Springer; 2010:161-167. doi:10.1007/978-1-4419-1341-8_6

Frank R, Lieb É, Seiringer R, Thomas L. Bipolaron and N-polaron binding energies. Physical Review Letters. 2010;104(21). doi:10.1103/PhysRevLett.104.210402

Hainzl C, Seiringer R. Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy. Mathematische Nachrichten. 2010;283(3):489-499. doi:10.1002/mana.200810195

Lieb É, Seiringer R. The Stability of Matter in Quantum Mechanics. Cambridge University Press; 2009.

Hainzl C, Seiringer R. A linear criterion for solutions of non-linear equations, with application to the BCS gap equation. In: Vol 500. American Mathematical Society; 2009:101-104. doi:10.1090/conm/500/09823

Giuliani A, Seiringer R. The ground state energy of the weakly interacting Bose gas at high density. Journal of Statistical Physics. 2009;135(5-6):915-934. doi:10.1007/s10955-009-9718-0

Lieb É, Seiringer R, Yngvason J. Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime. Physical Review A - Atomic, Molecular, and Optical Physics. 2009;79(6). doi:10.1103/PhysRevA.79.063626

Seiringer R, Ueltschi D. Rigorous upper bound on the critical temperature of dilute Bose gases. Physical Review B - Condensed Matter and Materials Physics. 2009;80(1). doi:10.1103/PhysRevB.80.014502

Lewin M, Seiringer R. Strongly correlated phases in rapidly rotating Bose gases. Journal of Statistical Physics. 2009;137(5):1040-1062. doi:10.1007/s10955-009-9833-y

Predd J, Seiringer R, Lieb É, Osherson D, Poor H, Kulkarni S. Probabilistic coherence and proper scoring rules. IEEE Transactions on Information Theory. 2009;55(10):4786-4792. doi:10.1109/TIT.2009.2027573

Seiringer R. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. In: World Scientific Publishing; 2008:241-254. doi:10.1142/9789812832382_0017

Hainzl C, Seiringer R.10.1142/9789812832382_0009__Spectral properties of the BCS gap equation of superfluidity. In: World Scientific Publishing; 2008:117-136. doi:10.1142/9789812832382_0009

Hainzl C, Seiringer R. Critical temperature and energy gap for the BCS equation. Physical Review B - Condensed Matter and Materials Physics. 2008;77(18). doi:10.1103/PhysRevB.77.184517

Seiringer R. Free energy of a dilute Bose gas: Lower bound. Communications in Mathematical Physics. 2008;279(3):595-636. doi:10.1007/s00220-008-0428-2

Seiringer R, Yin J. The Lieb-Liniger model as a limit of dilute bosons in three dimensions. Communications in Mathematical Physics. 2008;284(2):459-479. doi:10.1007/s00220-008-0521-6

Hainzl C, Hamza E, Seiringer R, Solovej J. The BCS functional for general pair interactions. Communications in Mathematical Physics. 2008;281(2):349-367. doi:10.1007/s00220-008-0489-2

Hainzl C, Lewin M, Seiringer R. A nonlinear model for relativistic electrons at positive temperature. Reviews in Mathematical Physics. 2008;20(10):1283-1307. doi:10.1142/S0129055X08003547

Seiringer R, Yin J. Ground state energy of the low density hubbard model. Journal of Statistical Physics. 2008;131(6):1139-1154. doi:10.1007/s10955-008-9527-x

Frank R, Seiringer R. Non-linear ground state representations and sharp Hardy inequalities. Journal of Functional Analysis. 2008;255(12):3407-3430. doi:10.1016/j.jfa.2008.05.015

Hainzl C, Seiringer R. The BCS critical temperature for potentials with negative scattering length. Letters in Mathematical Physics. 2008;84(2-3):99-107. doi:10.1007/s11005-008-0242-y

Frank R, Lieb É, Seiringer R. Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Journal of the American Mathematical Society. 2008;21(4):925-950. doi:10.1090/S0894-0347-07-00582-6

Seiringer R. On the failure of subadditivity of the Wigner-Yanase entropy. Letters in Mathematical Physics. 2007;80(3):285-288. doi:10.1007/s11005-007-0159-x

Frank R, Lieb É, Seiringer R, Siedentop H. Müller’s exchange-correlation energy in density-matrix-functional theory. Physical Review A - Atomic, Molecular, and Optical Physics. 2007;76(5). doi:10.1103/PhysRevA.76.052517

Lieb É, Seiringer R, Yngvason J. Bose-Einstein condensation and spontaneous symmetry breaking. Reports on Mathematical Physics. 2007;59(3):389-399. doi:10.1016/S0034-4877(07)80074-7

Frank R, Lieb É, Seiringer R. Number of bound states of Schrödinger operators with matrix-valued potentials. Letters in Mathematical Physics. 2007;82(2-3):107-116. doi:10.1007/s11005-007-0211-x

Frank R, Hainzl C, Naboko S, Seiringer R. The critical temperature for the BCS equation at weak coupling. Journal of Geometric Analysis. 2007;17(4):559-567. doi:10.1007/BF02937429

Frank R, Lieb É, Seiringer R. Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value. Communications in Mathematical Physics. 2007;275(2):479-489. doi:10.1007/s00220-007-0307-2

Lieb É, Seiringer R, Solovej J. Ground-state energy of a dilute Fermi gas. In: Vol 412. American Mathematical Society; 2006:239-248. doi:10.1090/conm/412

Seiringer R, Lieb É, Yngvason J. One-dimensional behavior of dilute, trapped Bose gases in traps. In: Zambrini J, ed. World Scientific Publishing; 2006. doi:10.1007/s00220-003-0993-3

Lieb É, Seiringer R. Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Communications in Mathematical Physics. 2006;264(2):505-537. doi:10.1007/s00220-006-1524-9

Seiringer R. A correlation estimate for quantum many-body systems at positive temperature. Reviews in Mathematical Physics. 2006;18(3):233-253. doi:10.1142/S0129055X06002632

Seiringer R. The thermodynamic pressure of a dilute fermi gas. Communications in Mathematical Physics. 2006;261(3):729-757. doi:10.1007/s00220-005-1433-3

Frank R, Laptev A, Lieb É, Seiringer R. Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Letters in Mathematical Physics. 2006;77(3):309-316. doi:10.1007/s11005-006-0095-1

Seiringer R. Dilute, trapped Bose gases and Bose-Einstein condensation. In: Dereziski J, Siedentop H, eds. Large Coulomb Systems. Vol 695. Springer; 2006:249-274. doi:10.1007/3-540-32579-4_6

Aizenman M, Lieb É, Seiringer R, Solovej J, Yngvason J. Bose-Einstein condensation as a quantum phase transition in an optical lattice. In: Asch J, Joye A, eds. Mathematical Physics of Quantum Mechanics. Vol 690. Springer; 2006:199-215. doi:10.1007/b11573432

Lieb É, Seiringer R, Solovej J, Yngvason J. The Mathematics of the Bose Gas and Its Condensation. Vol 34. Baself; Berlin: Birkhäuser Verlag; 2005. doi:10.1007/b137508

Lieb É, Seiringer R, Solovej J, Yngvason J. The quantum-mechanical many-body problem: The Bose gas. In: Benedicks M, Jones P, Smirnov S, Winckler B, eds. Perspectives in Analysis. Vol 27. Springer; 2005:97-183. doi:10.1007/3-540-30434-7_9

Lieb É, Seiringer R, Yngvason J. Justification of c-number substitutions in bosonic hamiltonians. Physical Review Letters. 2005;94(8). doi:10.1103/PhysRevLett.94.080401

Lieb É, Seiringer R, Solovej J. Ground state energy of the low density Fermi gas. Physical Review A - Atomic, Molecular, and Optical Physics. 2005;71(5). doi:10.1103/PhysRevA.71.053605

Lieb É, Seiringer R. Stronger subadditivity of entropy. Physical Review A - Atomic, Molecular, and Optical Physics. 2005;71(6). doi:10.1103/PhysRevA.71.062329

Lieb É, Seiringer R, Yngvason J. One-dimensional behavior of dilute, trapped Bose gases. Communications in Mathematical Physics. 2004;244(2):347-393. doi:10.1007/s00220-003-0993-3

Lieb É, Seiringer R.10.1023/B:JOSS.0000019811.15510.27__Equivalent forms of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 2004;115(1-2):185-190. doi:10.1023/B:JOSS.0000019811.15510.27

Aizenman M, Lieb É, Seiringer R, Solovej J, Yngvason J. Bose-Einstein quantum phase transition in an optical lattice model. Physical Review A - Atomic, Molecular, and Optical Physics. 2004;70(2):023612-1-0236121-2. doi:10.1103/PhysRevA.70.023612

Lieb É, Seiringer R. Bose-Einstein condensation of dilute gases in traps . In: Karpeshina Y, Weikard R, Zeng Y, eds. Vol 327. American Mathematical Society; 2003:239-250. doi:10.1090/conm/327/05818

Lieb É, Seiringer R, Yngvason J. Poincaré inequalities in punctured domains. Annals of Mathematics. 2003;158(3):1067-1080. doi:10.4007/annals.2003.158.1067 

Seiringer R. Ground state asymptotics of a dilute, rotating gas. Journal of Physics A: Mathematical and Theoretical. 2003;36(37):9755-9778. doi:10.1088/0305-4470/36/37/312

Lieb É, Seiringer R, Yngvason J. One-dimensional Bosons in three-dimensional traps. Physical Review Letters. 2003;91(15):1504011-1504014. doi:10.1103/PhysRevLett.91.150401

Seiringer R. Symmetry breaking in a model of a rotating Bose gas. In: Weder R, Exner P, Grébert B, eds. Vol 307. World Scientific Publishing; 2002:281-286. doi:10.1090/conm/307

Seiringer R. Gross-Pitaevskii theory of the rotating Bose gas. Communications in Mathematical Physics. 2002;229(3):491-509. doi:10.1007/s00220-002-0695-2

Lieb É, Seiringer R. Proof of Bose-Einstein condensation for dilute trapped gases. Physical Review Letters. 2002;88(17):1704091-1704094. doi:10.1103/PhysRevLett.88.170409

Hainzl C, Seiringer R. General decomposition of radial functions on dn and applications to N-body quantum systems. Letters in Mathematical Physics. 2002;61(1):75-84. doi:10.1023/A:1020204818938

Lieb É, Seiringer R, Yngvason J. Superfluidity in dilute trapped Bose gases. Physical Review B - Condensed Matter and Materials Physics. 2002;66(13). doi:10.1103/PhysRevB.66.134529

Lieb É, Solovej J, Seiringer R, Yngvason J. The ground state of the Bose gas. In: Current Developments in Mathematics, 2001. International Press; 2002:131-178. doi:10.48550/arXiv.math-ph/0204027

Hainzl C, Seiringer R. Mass renormalization and energy level shift in non-relativistic QED. Advances in Theoretical and Mathematical Physics. 2002;6(5):847-871. doi:10.4310/ATMP.2002.v6.n5.a3

Hainzl C, Seiringer R. A discrete density matrix theory for atoms in strong magnetic fields. Communications in Mathematical Physics. 2001;217(1):229-248. doi:10.1007/s002200100373

Lieb É, Seiringer R, Yngvason J. A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas. Communications in Mathematical Physics. 2001;224(1):17-31. doi:10.1007/s002200100533

Seiringer R. On the maximal ionization of atoms in strong magnetic fields. Journal of Physics A: Mathematical and General. 2001;34(9):1943-1948. doi:10.1088/0305-4470/34/9/311

Baumgartner B, Seiringer R. Atoms with bosonic &;quot;electrons&;quot; in strong magnetic fields. Annales Henri Poincare. 2001;2(1):41-76. doi:10.1007/PL00001032

Hainzl C, Seiringer R. Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics. Letters in Mathematical Physics. 2001;55(2):133-142. doi:10.1023/A:1010951905548

Seiringer R. Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula. In: Demuth M, Schultze B, eds. Vol 126. Birkhäuser; 2001:307-314. doi:10.1007/978-3-0348-8231-6

Seiringer R. Inequalities for Schrödinger operators and applications to the stability of matter problem . In: Vol 529. American Mathematical Society; 2000:53-72. doi:10.1090/conm/529

Baumgartner B, Seiringer R. On the ordering of energy levels in homogeneous magnetic fields. Letters in Mathematical Physics. 2000;54(3):213-226. doi:Â  Â  10.1023/A:1010978807635

Lieb É, Seiringer R, Yngvason J. Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional. Physical Review A - Atomic, Molecular, and Optical Physics. 2000;61(4):436021-4360213. doi:10.1103/PhysRevA.61.043602

Seiringer R, Lieb É, Yngvason J. The ground state energy and density of interacting bosons in a trap. In: Proceedings of the International Symposium on Quantum Theory and Symmetries. World Scientific Publishing; 2000:101-110.