Lauritsen AB, Seiringer R. Ground state energy of the dilute spin-polarized Fermi gas: Upper bound via cluster expansion. Journal of Functional Analysis. 2024;286(7). doi:10.1016/j.jfa.2024.110320

Boccato C, Seiringer R. The Bose Gas in a box with Neumann boundary conditions. Annales Henri Poincare. 2023;24:1505-1560. doi:10.1007/s00023-022-01252-3

Hainzl C, Roos B, Seiringer R. Boundary superconductivity in the BCS model. Journal of Spectral Theory. 2023;12(4):1507–1540. doi:10.4171/JST/439

Brooks M, Seiringer R. The Fröhlich Polaron at strong coupling: Part I - The quantum correction to the classical energy. Communications in Mathematical Physics. 2023;404:287-337. doi:10.1007/s00220-023-04841-3

Mitrouskas DJ, Mysliwy K, Seiringer R. Optimal parabolic upper bound for the energy-momentum relation of a strongly coupled polaron. Forum of Mathematics. 2023;11:1-52. doi:10.1017/fms.2023.45

Seiringer R. Absence of excited eigenvalues for Fröhlich type polaron models at weak coupling. Journal of Spectral Theory. 2023;13(3):1045-1055. doi:10.4171/JST/469

Benedikter NP, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas with large interaction potential. Archive for Rational Mechanics and Analysis. 2023;247(4). doi:10.1007/s00205-023-01893-6

Mitrouskas DJ, Seiringer R. Ubiquity of bound states for the strongly coupled polaron. Pure and Applied Analysis. 2023;5(4):973-1008. doi:10.2140/paa.2023.5.973

Seiringer R, Solovej JP. A simple approach to Lieb-Thirring type inequalities. Journal of Functional Analysis. 2023;285(10). doi:10.1016/j.jfa.2023.110129

Lewin M, Lieb EH, Seiringer R. Universal Functionals in Density Functional Theory. In: Cances E, Friesecke G, eds. Density Functional Theory. 1st ed. MAMOMO. Springer; 2023:115-182. doi:10.1007/978-3-031-22340-2_3

Rademacher SAE, Seiringer R. Large deviation estimates for weakly interacting bosons. Journal of Statistical Physics. 2022;188. doi:10.1007/s10955-022-02940-4

Lewin M, Lieb EH, Seiringer R. Improved Lieb–Oxford bound on the indirect and exchange energies. Letters in Mathematical Physics. 2022;112(5). doi:10.1007/s11005-022-01584-5

Mysliwy K, Seiringer R. Polaron models with regular interactions at strong coupling. Journal of Statistical Physics. 2022;186(1). doi:10.1007/s10955-021-02851-w

Roos B, Seiringer R. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 2022;282(12). doi:10.1016/j.jfa.2022.109455

Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. Journal of Physics A: Mathematical and Theoretical. 2022;55(1). doi:10.1088/1751-8121/ac3947

Frank R, Seiringer R. Quantum corrections to the Pekar asymptotics of a strongly coupled polaron. Communications on Pure and Applied Mathematics. 2021;74(3):544-588. doi:10.1002/cpa.21944

Leopold NK, Mitrouskas DJ, Seiringer R. Derivation of the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational Mechanics and Analysis. 2021;240:383-417. doi:10.1007/s00205-021-01616-9

Napiórkowski MM, Seiringer R. Free energy asymptotics of the quantum Heisenberg spin chain. Letters in Mathematical Physics. 2021;111(2). doi:10.1007/s11005-021-01375-4

Bossmann L, Petrat SP, Seiringer R. Asymptotic expansion of low-energy excitations for weakly interacting bosons. Forum of Mathematics, Sigma. 2021;9. doi:10.1017/fms.2021.22

Deuchert A, Seiringer R. Semiclassical approximation and critical temperature shift for weakly interacting trapped bosons. Journal of Functional Analysis. 2021;281(6). doi:10.1016/j.jfa.2021.109096

Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis. 2021;242(3):1835–1906. doi:10.1007/s00205-021-01715-7

Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Bosonization of fermionic many-body dynamics. Annales Henri Poincaré. 2021. doi:10.1007/s00023-021-01136-y

Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly interacting Fermi gas. Inventiones Mathematicae. 2021;225:885-979. doi:10.1007/s00222-021-01041-5

Seiringer R. The polaron at strong coupling. Reviews in Mathematical Physics. 2021;33(01). doi:10.1142/s0129055x20600120

Feliciangeli D, Rademacher SAE, Seiringer R. Persistence of the spectral gap for the Landau–Pekar equations. Letters in Mathematical Physics. 2021;111. doi:10.1007/s11005-020-01350-5

Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum corrections to the Pekar asymptotics. arXiv.

Leopold NK, Rademacher SAE, Schlein B, Seiringer R.10.2140/APDE.2021.14.2079__The Landau–Pekar equations: Adiabatic theorem and accuracy. Analysis and PDE. 2021;14(7):2079-2100. doi:10.2140/APDE.2021.14.2079

Leopold NK, Mitrouskas DJ, Rademacher SAE, Schlein B, Seiringer R. Landau–Pekar equations and quantum fluctuations for the dynamics of a strongly coupled polaron. Pure and Applied Analysis. 2021;3(4):653-676. doi:10.2140/paa.2021.3.653

Feliciangeli D, Rademacher SAE, Seiringer R. The effective mass problem for the Landau-Pekar equations. arXiv.

Benedikter NP, Nam PT, Porta M, Schlein B, Seiringer R. Optimal upper bound for the correlation energy of a Fermi gas in the mean-field regime. Communications in Mathematical Physics. 2020;374:2097–2150. doi:10.1007/s00220-019-03505-5

Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. Forum of Mathematics, Sigma. 2020;8. doi:10.1017/fms.2020.17

Seiringer R, Yngvason J. Emergence of Haldane pseudo-potentials in systems with short-range interactions. Journal of Statistical Physics. 2020;181:448-464. doi:10.1007/s10955-020-02586-0

Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. II. Upper bound. Journal of Mathematical Physics. 2020;61(6). doi:10.1063/5.0005950

Yakaboylu E, Ghazaryan A, Lundholm D, Rougerie N, Lemeshko M, Seiringer R. Quantum impurity model for anyons. Physical Review B. 2020;102(14). doi:10.1103/physrevb.102.144109

Deuchert A, Seiringer R. Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature. Archive for Rational Mechanics and Analysis. 2020;236(6):1217-1271. doi:10.1007/s00205-020-01489-4

Lieb EH, Seiringer R. Divergence of the effective mass of a polaron in the strong coupling limit. Journal of Statistical Physics. 2020;180:23-33. doi:10.1007/s10955-019-02322-3

Feliciangeli D, Seiringer R. Uniqueness and nondegeneracy of minimizers of the Pekar functional on a ball. SIAM Journal on Mathematical Analysis. 2020;52(1):605-622. doi:10.1137/19m126284x

Mysliwy K, Seiringer R. Microscopic derivation of the Fröhlich Hamiltonian for the Bose polaron in the mean-field limit. Annales Henri Poincare. 2020;21(12):4003-4025. doi:10.1007/s00023-020-00969-3

Lewin M, Lieb EH, Seiringer R.10.2140/paa.2020.2.35__The local density approximation in density functional theory. Pure and Applied Analysis. 2020;2(1):35-73. doi:10.2140/paa.2020.2.35

Hainzl C, Schlein B, Seiringer R, Warzel S. Many-body quantum systems. Oberwolfach Reports. 2020;16(3):2541-2603. doi:10.4171/owr/2019/41

Deuchert A, Seiringer R, Yngvason J. Bose–Einstein condensation in a dilute, trapped gas at positive temperature. Communications in Mathematical Physics. 2019;368(2):723-776. doi:10.1007/s00220-018-3239-0

Moser T, Seiringer R. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. 2019;20(4):1325–1365. doi:10.1007/s00023-018-00757-0

Deuchert A, Mayer S, Seiringer R. The free energy of the two-dimensional dilute Bose gas. I. Lower bound. arXiv:191003372.

Jaksic V, Seiringer R. Introduction to the Special Collection: International Congress on Mathematical Physics (ICMP) 2018. Journal of Mathematical Physics. 2019;60(12). doi:10.1063/1.5138135

Lewin M, Lieb EH, Seiringer R. Floating Wigner crystal with no boundary charge fluctuations. Physical Review B. 2019;100(3). doi:10.1103/physrevb.100.035127

Lundholm D, Seiringer R. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 2018;108(11):2523-2541. doi:10.1007/s11005-018-1091-y

Moser T, Seiringer R. Stability of the 2+2 fermionic system with point interactions. Mathematical Physics Analysis and Geometry. 2018;21(3). doi:10.1007/s11040-018-9275-3

Lewi M, Lieb É, Seiringer R. Statistical mechanics of the uniform electron gas. Journal de l’Ecole Polytechnique - Mathematiques. 2018;5:79-116. doi:10.5802/jep.64

Moser T, Seiringer R. Triviality of a model of particles with point interactions in the thermodynamic limit. Letters in Mathematical Physics. 2017;107(3):533-552. doi:10.1007/s11005-016-0915-x

Li X, Seiringer R, Lemeshko M. Angular self-localization of impurities rotating in a bosonic bath. Physical Review A. 2017;95(3). doi:10.1103/PhysRevA.95.033608

Moser T, Seiringer R. Stability of a fermionic N+1 particle system with point interactions. Communications in Mathematical Physics. 2017;356(1):329-355. doi:10.1007/s00220-017-2980-0

Nam P, Rougerie N, Seiringer R. Ground states of large bosonic systems: The gross Pitaevskii limit revisited. Analysis and PDE. 2016;9(2):459-485. doi:10.2140/apde.2016.9.459

Bräunlich G, Hainzl C, Seiringer R. Bogolubov–Hartree–Fock theory for strongly interacting fermions in the low density limit. Mathematical Physics, Analysis and Geometry. 2016;19(2). doi:10.1007/s11040-016-9209-x

Giuliani A, Seiringer R. Periodic striped ground states in Ising models with competing interactions. Communications in Mathematical Physics. 2016;347(3):983-1007. doi:10.1007/s00220-016-2665-0

Könenberg M, Moser T, Seiringer R, Yngvason J. Superfluidity and BEC in a Model of Interacting Bosons in a Random Potential. In: Journal of Physics: Conference Series. Vol 691. IOP Publishing Ltd.; 2016. doi:10.1088/1742-6596/691/1/012016

Frank R, Hainzl C, Schlein B, Seiringer R. Incompatibility of time-dependent Bogoliubov–de-Gennes and Ginzburg–Landau equations. Letters in Mathematical Physics. 2016;106(7):913-923. doi:10.1007/s11005-016-0847-5

Seiringer R, Warzel S. Decay of correlations and absence of superfluidity in the disordered Tonks-Girardeau gas. New Journal of Physics. 2016;18(3). doi:10.1088/1367-2630/18/3/035002

Hainzl C, Seiringer R. The Bardeen–Cooper–Schrieffer functional of superconductivity and its mathematical properties. Journal of Mathematical Physics. 2016;57(2). doi:10.1063/1.4941723

Frank R, Hainzl C, Seiringer R, Solovej J. The external field dependence of the BCS critical temperature. Communications in Mathematical Physics. 2016;342(1):189-216. doi:10.1007/s00220-015-2526-2

Correggi M, Giuliani A, Seiringer R. Validity of the spin-wave approximation for the free energy of the Heisenberg ferromagnet. Communications in Mathematical Physics. 2015;339(1):279-307. doi:10.1007/s00220-015-2402-0

Chen T, Hainzl C, Pavlovi N, Seiringer R. Unconditional uniqueness for the cubic gross pitaevskii hierarchy via quantum de finetti. Communications on Pure and Applied Mathematics. 2015;68(10):1845-1884. doi:10.1002/cpa.21552

Deuchert A, Hainzl C, Seiringer R. Note on a family of monotone quantum relative entropies. Letters in Mathematical Physics. 2015;105(10):1449-1466. doi:10.1007/s11005-015-0787-5

Könenberg M, Moser T, Seiringer R, Yngvason J. Superfluid behavior of a Bose-Einstein condensate in a random potential. New Journal of Physics. 2015;17. doi:10.1088/1367-2630/17/1/013022

Nam P, Seiringer R. Collective excitations of Bose gases in the mean-field regime. Archive for Rational Mechanics and Analysis. 2015;215(2):381-417. doi:10.1007/s00205-014-0781-6

Bräunlich G, Hainzl C, Seiringer R. On the BCS gap equation for superfluid fermionic gases. In: Proceedings of the QMat Conference. World Scientific Publishing; 2014:127-137. doi:10.1142/9789814618144_0007

Seiringer R. Bose gases, Bose-Einstein condensation, and the Bogoliubov approximation. Journal of Mathematical Physics. 2014;55(7). doi:10.1063/1.4881536

Jaksi V, Pillet C, Seiringer R. Introduction. Journal of Mathematical Physics. 2014;55(7). doi:10.1063/1.4884877

Bräunlich G, Hainzl C, Seiringer R. Translation-invariant quasi-free states for fermionic systems and the BCS approximation. Reviews in Mathematical Physics. 2014;26(7). doi:10.1142/S0129055X14500123

Frank R, Lewin M, Lieb É, Seiringer R. Strichartz inequality for orthonormal functions. Journal of the European Mathematical Society. 2014;16(7):1507-1526. doi:10.4171/JEMS/467

Bellazzini J, Frank R, Lieb É, Seiringer R. Existence of ground states for negative ions at the binding threshold. Reviews in Mathematical Physics. 2014;26(1). doi:10.1142/S0129055X13500219

Giuliani A, Lieb É, Seiringer R. Formation of stripes and slabs near the ferromagnetic transition. Communications in Mathematical Physics. 2014;331:333-350. doi:10.1007/s00220-014-1923-2

Correggi M, Giuliani A, Seiringer R. Validity of spin-wave theory for the quantum Heisenberg model. EPL. 2014;108(2). doi:10.1209/0295-5075/108/20003

Chen T, Hainzl C, Pavlovi N, Seiringer R. On the well-posedness and scattering for the Gross-Pitaevskii hierarchy via quantum de Finetti. Letters in Mathematical Physics. 2014;104(7):871-891. doi:10.1007/s11005-014-0693-2

Lieb É, Seiringer R. Equivalence of two definitions of the effective mass of a polaron. Journal of Statistical Physics. 2014;154(1-2):51-57. doi:10.1007/s10955-013-0791-z

Seiringer R. The excitation spectrum for Bose fluids with weak interactions. Jahresbericht der Deutschen Mathematiker-Vereinigung. 2014;116:21-41. doi:10.1365/s13291-014-0083-9

Seiringer R. Structure of the excitation spectrum for many-body quantum systems. In: Proceeding of the International Congress of Mathematicans. Vol 3. International Congress of Mathematicians; 2014:1175-1194.

Guo Y, Seiringer R. On the mass concentration for Bose-Einstein condensates with attractive interactions. Letters in Mathematical Physics. 2014;104(2):141-156. doi:10.1007/s11005-013-0667-9

Seiringer R. Hot topics in cold gases: A mathematical physics perspective. Japanese Journal of Mathematics. 2013;8(2):185-232. doi:10.1007/s11537-013-1264-5

Giuliani A, Lieb É, Seiringer R. Realization of stripes and slabs in two and three dimensions. Physical Review B. 2013;88(6). doi:10.1103/PhysRevB.88.064401

Seiringer R, Yngvason J, Zagrebnov V. Disordered Bose-Einstein condensates with interaction. In: World Scientific Publishing; 2013:610-619. doi:10.1142/9789814449243_0063

Frank R, Hainzl C, Seiringer R, Solovej J.10.1007/978-3-0348-0531-5_3__Derivation of Ginzburg-Landau theory for a one-dimensional system with contact interaction. In: Springer; 2013:57-88. doi:10.1007/978-3-0348-0531-5_3

Frank R, Lewin M, Lieb É, Seiringer R. A positive density analogue of the Lieb-Thirring inequality. Duke Mathematical Journal. 2013;162(3):435-495. doi:10.1215/00127094-2019477

Seiringer R, Yngvason J, Zagrebnov V. Condensation of interacting bosons in a random potential. European Physical Journal: Special Topics. 2013;217(1):103-107. doi:10.1140/epjst/e2013-01759-5

Frank R, Lieb É, Seiringer R. Symmetry of bipolaron bound states for small Coulomb repulsion. Communications in Mathematical Physics. 2013;319(2):557-573. doi:10.1007/s00220-012-1604-y

Grech P, Seiringer R. The excitation spectrum for weakly interacting Bosons in a trap. Communications in Mathematical Physics. 2013;322(2):559-591. doi:10.1007/s00220-013-1736-8

Seiringer R. Absence of bound states implies non-negativity of the scattering length. Journal of Spectral Theory. 2012;2(3):321-328. doi:10.4171/JST/31

Frank R, Hainzl C, Seiringer R, Solovej J. Microscopic derivation of the Ginzburg-Landau model. In: World Scientific Publishing; 2012:575-583. doi:10.1142/9789814449243_0060

Frank R, Lieb É, Seiringer R, Thomas L. Ground state properties of multi-polaron systems. In: World Scientific Publishing; 2012:477-485. doi:10.1142/9789814449243_0045

Seiringer R. Cold quantum gases and bose einstein condensation. In: Rivasseau V, Seiringer R, Solovej J, Spencer T, eds. Quantum Many Body Systems. Vol 2051. Springer; 2012:55-92. doi:10.1007/978-3-642-29511-9_2

Freiji A, Hainzl C, Seiringer R. The gap equation for spin-polarized fermions. Journal of Mathematical Physics. 2012;53(1). doi:10.1063/1.3670747

Frank R, Hainzl C, Seiringer R, Solovej J. Microscopic derivation of Ginzburg-Landau theory. Journal of the American Mathematical Society. 2012;25(3):667-713. doi:10.1090/S0894-0347-2012-00735-8

Landon B, Seiringer R. The scattering length at positive temperature. Letters in Mathematical Physics. 2012;100(3):237-243. doi:10.1007/s11005-012-0566-5

Jaksi V, Ogata Y, Pillet C, Seiringer R. Quantum hypothesis testing and non-equilibrium statistical mechanics. Reviews in Mathematical Physics. 2012;24(6). doi:10.1142/S0129055X12300026

Hainzl C, Seiringer R. Low density limit of BCS theory and Bose-Einstein condensation of Fermion pairs. Letters in Mathematical Physics. 2012;100(2):119-138. doi:10.1007/s11005-011-0535-4

Frank R, Lieb É, Seiringer R. Binding of polarons and atoms at threshold. Communications in Mathematical Physics. 2012;313(2):405-424. doi:10.1007/s00220-012-1436-9

Seiringer R, Yngvason J, Zagrebnov V. Disordered Bose-Einstein condensates with interaction in one dimension. Journal of Statistical Mechanics Theory and Experiment. 2012;2012(11). doi:10.1088/1742-5468/2012/11/P11007

Frank R, Seiringer R. Lieb-Thirring inequality for a model of particles with point interactions. Journal of Mathematical Physics. 2012;53(9). doi:10.1063/1.3697416

Lieb É, Seiringer R. Further implications of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 2012;149(1):86-91. doi:10.1007/s10955-012-0585-8

Frank R, Lieb É, Seiringer R, Thomas L. Binding, stability, and non-binding of multi-polaron systems. In: World Scientific Publishing; 2011:21-32. doi:10.1142/9789814350365_0002

Frank R, Laptev A, Seiringer R.10.1007/978-3-7643-9994-8_3__A sharp bound on eigenvalues of Schrödinger operators on the halfline with complex-valued potentials. In: Vol 214. Springer; 2011:39-44. doi:10.1007/978-3-7643-9994-8_3

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.