Frank R, Lieb É, Seiringer R, Thomas L. 2011. Stability and absence of binding for multi-polaron systems. Publications Mathematiques de l Institut des Hautes Etudes Scientifiques. 113(1), 39–67.
LibreCat: https://research-explorer.ista.ac.at/record/2390
DOI: 10.1007/s10240-011-0031-5

Frank R, Lewin M, Lieb É, Seiringer R. 2011. Energy cost to make a hole in the fermi sea. Physical Review Letters. 106(15).
LibreCat: https://research-explorer.ista.ac.at/record/2391
DOI: 10.1103/PhysRevLett.106.150402

Seiringer R. 2011. The excitation spectrum for weakly interacting Bosons. Communications in Mathematical Physics. 306(2), 565–578.
LibreCat: https://research-explorer.ista.ac.at/record/2393
DOI: 10.1007/s00220-011-1261-6

Frank R, Lieb É, Seiringer R. 2010.  Equivalence of Sobolev inequalities and Lieb-Thirring inequalities. ICMP: International Congress on Mathematical Physics, 523–535.
LibreCat: https://research-explorer.ista.ac.at/record/2322
DOI: 10.1142/9789814304634_0045 

Seiringer R. 2010. Hot topics on cold gases. ICMP: International Congress on Mathematical Physics, 231–245.
LibreCat: https://research-explorer.ista.ac.at/record/2323
DOI: 10.1142/9789814304634_0013

Frank R, Seiringer R. 2010.Sharp fractional Hardy inequalities in half-spaces. In: Around the Research of Vladimir Maz’ya I. International Mathematical Series, vol. 11, 161–167.
LibreCat: https://research-explorer.ista.ac.at/record/2324
DOI: 10.1007/978-1-4419-1341-8_6

Frank R, Lieb É, Seiringer R, Thomas L. 2010. Bipolaron and N-polaron binding energies. Physical Review Letters. 104(21).
LibreCat: https://research-explorer.ista.ac.at/record/2392
DOI: 10.1103/PhysRevLett.104.210402

Hainzl C, Seiringer R. 2010. Asymptotic behavior of eigenvalues of Schrödinger type operators with degenerate kinetic energy. Mathematische Nachrichten. 283(3), 489–499.
LibreCat: https://research-explorer.ista.ac.at/record/2389
DOI: 10.1002/mana.200810195

Lieb É, Seiringer R. 2009. The Stability of Matter in Quantum Mechanics, Cambridge University Press, 310p.
LibreCat: https://research-explorer.ista.ac.at/record/2326

Hainzl C, Seiringer R. 2009. A linear criterion for solutions of non-linear equations, with application to the BCS gap equation. Spectral and Scattering Theory for Quantum Magnetic Systems, Contemporary Mathematics, vol. 500, 101–104.
LibreCat: https://research-explorer.ista.ac.at/record/2330
DOI: 10.1090/conm/500/09823

Giuliani A, Seiringer R. 2009. The ground state energy of the weakly interacting Bose gas at high density. Journal of Statistical Physics. 135(5–6), 915–934.
LibreCat: https://research-explorer.ista.ac.at/record/2384
DOI: 10.1007/s10955-009-9718-0

Lieb É, Seiringer R, Yngvason J. 2009. Yrast line of a rapidly rotating Bose gas: Gross-Pitaevskii regime. Physical Review A - Atomic, Molecular, and Optical Physics. 79(6).
LibreCat: https://research-explorer.ista.ac.at/record/2385
DOI: 10.1103/PhysRevA.79.063626

Seiringer R, Ueltschi D. 2009. Rigorous upper bound on the critical temperature of dilute Bose gases. Physical Review B - Condensed Matter and Materials Physics. 80(1).
LibreCat: https://research-explorer.ista.ac.at/record/2386
DOI: 10.1103/PhysRevB.80.014502

Lewin M, Seiringer R. 2009. Strongly correlated phases in rapidly rotating Bose gases. Journal of Statistical Physics. 137(5), 1040–1062.
LibreCat: https://research-explorer.ista.ac.at/record/2387
DOI: 10.1007/s10955-009-9833-y

Predd J, Seiringer R, Lieb É, Osherson D, Poor H, Kulkarni S. 2009. Probabilistic coherence and proper scoring rules. IEEE Transactions on Information Theory. 55(10), 4786–4792.
LibreCat: https://research-explorer.ista.ac.at/record/2388
DOI: 10.1109/TIT.2009.2027573

Seiringer R. 2008. Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases. QMath: Mathematical Results in Quantum Physics, 241–254.
LibreCat: https://research-explorer.ista.ac.at/record/2332
DOI: 10.1142/9789812832382_0017

Hainzl C, Seiringer R. 2008.  Spectral properties of the BCS gap equation of superfluidity. QMath: Mathematical Results in Quantum Physics, 117–136.
LibreCat: https://research-explorer.ista.ac.at/record/2331
DOI: 10.1142/9789812832382_0009

Hainzl C, Seiringer R. 2008. Critical temperature and energy gap for the BCS equation. Physical Review B - Condensed Matter and Materials Physics. 77(18).
LibreCat: https://research-explorer.ista.ac.at/record/2376
DOI: 10.1103/PhysRevB.77.184517

Seiringer R. 2008. Free energy of a dilute Bose gas: Lower bound. Communications in Mathematical Physics. 279(3), 595–636.
LibreCat: https://research-explorer.ista.ac.at/record/2374
DOI: 10.1007/s00220-008-0428-2

Seiringer R, Yin J. 2008. The Lieb-Liniger model as a limit of dilute bosons in three dimensions. Communications in Mathematical Physics. 284(2), 459–479.
LibreCat: https://research-explorer.ista.ac.at/record/2382
DOI: 10.1007/s00220-008-0521-6

Hainzl C, Hamza E, Seiringer R, Solovej J. 2008. The BCS functional for general pair interactions. Communications in Mathematical Physics. 281(2), 349–367.
LibreCat: https://research-explorer.ista.ac.at/record/2380
DOI: 10.1007/s00220-008-0489-2

Hainzl C, Lewin M, Seiringer R. 2008. A nonlinear model for relativistic electrons at positive temperature. Reviews in Mathematical Physics. 20(10), 1283–1307.
LibreCat: https://research-explorer.ista.ac.at/record/2383
DOI: 10.1142/S0129055X08003547

Seiringer R, Yin J. 2008. Ground state energy of the low density hubbard model. Journal of Statistical Physics. 131(6), 1139–1154.
LibreCat: https://research-explorer.ista.ac.at/record/2378
DOI: 10.1007/s10955-008-9527-x

Frank R, Seiringer R. 2008. Non-linear ground state representations and sharp Hardy inequalities. Journal of Functional Analysis. 255(12), 3407–3430.
LibreCat: https://research-explorer.ista.ac.at/record/2381
DOI: 10.1016/j.jfa.2008.05.015

Hainzl C, Seiringer R. 2008. The BCS critical temperature for potentials with negative scattering length. Letters in Mathematical Physics. 84(2–3), 99–107.
LibreCat: https://research-explorer.ista.ac.at/record/2377
DOI: 10.1007/s11005-008-0242-y

Frank R, Lieb É, Seiringer R. 2008. Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators. Journal of the American Mathematical Society. 21(4), 925–950.
LibreCat: https://research-explorer.ista.ac.at/record/2379
DOI: 10.1090/S0894-0347-07-00582-6

Seiringer R. 2007. On the failure of subadditivity of the Wigner-Yanase entropy. Letters in Mathematical Physics. 80(3), 285–288.
LibreCat: https://research-explorer.ista.ac.at/record/2367
DOI: 10.1007/s11005-007-0159-x

Frank R, Lieb É, Seiringer R, Siedentop H. 2007. Müller’s exchange-correlation energy in density-matrix-functional theory. Physical Review A - Atomic, Molecular, and Optical Physics. 76(5).
LibreCat: https://research-explorer.ista.ac.at/record/2372
DOI: 10.1103/PhysRevA.76.052517

Lieb É, Seiringer R, Yngvason J. 2007. Bose-Einstein condensation and spontaneous symmetry breaking. Reports on Mathematical Physics. 59(3), 389–399.
LibreCat: https://research-explorer.ista.ac.at/record/2370
DOI: 10.1016/S0034-4877(07)80074-7

Frank R, Lieb É, Seiringer R. 2007. Number of bound states of Schrödinger operators with matrix-valued potentials. Letters in Mathematical Physics. 82(2–3), 107–116.
LibreCat: https://research-explorer.ista.ac.at/record/2375
DOI: 10.1007/s11005-007-0211-x

Frank R, Hainzl C, Naboko S, Seiringer R. 2007. The critical temperature for the BCS equation at weak coupling. Journal of Geometric Analysis. 17(4), 559–567.
LibreCat: https://research-explorer.ista.ac.at/record/2373
DOI: 10.1007/BF02937429

Frank R, Lieb É, Seiringer R. 2007. Stability of relativistic matter with magnetic fields for nuclear charges up to the critical value. Communications in Mathematical Physics. 275(2), 479–489.
LibreCat: https://research-explorer.ista.ac.at/record/2371
DOI: 10.1007/s00220-007-0307-2

Lieb É, Seiringer R, Solovej J. 2006. Ground-state energy of a dilute Fermi gas. Differential Equations and Mathematical Physics, Contemporary Mathematics, vol. 412, 239–248.
LibreCat: https://research-explorer.ista.ac.at/record/2333
DOI: 10.1090/conm/412

Seiringer R, Lieb É, Yngvason J. 2006. One-dimensional behavior of dilute, trapped Bose gases in traps. ICMP: International Congress on Mathematical Physics.
LibreCat: https://research-explorer.ista.ac.at/record/2334
DOI: 10.1007/s00220-003-0993-3

Lieb É, Seiringer R. 2006. Derivation of the Gross-Pitaevskii equation for rotating Bose gases. Communications in Mathematical Physics. 264(2), 505–537.
LibreCat: https://research-explorer.ista.ac.at/record/2363
DOI: 10.1007/s00220-006-1524-9

Seiringer R. 2006. A correlation estimate for quantum many-body systems at positive temperature. Reviews in Mathematical Physics. 18(3), 233–253.
LibreCat: https://research-explorer.ista.ac.at/record/2364
DOI: 10.1142/S0129055X06002632

Seiringer R. 2006. The thermodynamic pressure of a dilute fermi gas. Communications in Mathematical Physics. 261(3), 729–757.
LibreCat: https://research-explorer.ista.ac.at/record/2365
DOI: 10.1007/s00220-005-1433-3

Frank R, Laptev A, Lieb É, Seiringer R. 2006. Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials. Letters in Mathematical Physics. 77(3), 309–316.
LibreCat: https://research-explorer.ista.ac.at/record/2366
DOI: 10.1007/s11005-006-0095-1

Seiringer R. 2006.Dilute, trapped Bose gases and Bose-Einstein condensation. In: Large Coulomb Systems. LNP, vol. 695, 249–274.
LibreCat: https://research-explorer.ista.ac.at/record/2368
DOI: 10.1007/3-540-32579-4_6

Aizenman M, Lieb É, Seiringer R, Solovej J, Yngvason J. 2006.Bose-Einstein condensation as a quantum phase transition in an optical lattice. In: Mathematical Physics of Quantum Mechanics. LNP, vol. 690, 199–215.
LibreCat: https://research-explorer.ista.ac.at/record/2369
DOI: 10.1007/b11573432

Lieb É, Seiringer R, Solovej J, Yngvason J. 2005. The Mathematics of the Bose gas and its Condensation, Baself; Berlin: Birkhäuser Verlag, VIII, 203p.
LibreCat: https://research-explorer.ista.ac.at/record/2335
DOI: 10.1007/b137508
arXiv: cond-mat/0610117

Lieb É, Seiringer R, Solovej J, Yngvason J. 2005.The quantum-mechanical many-body problem: The Bose gas. In: Perspectives in Analysis. Mathematical Physics Studies, vol. 27, 97–183.
LibreCat: https://research-explorer.ista.ac.at/record/2336
DOI: 10.1007/3-540-30434-7_9

Lieb É, Seiringer R, Yngvason J. 2005. Justification of c-number substitutions in bosonic hamiltonians. Physical Review Letters. 94(8).
LibreCat: https://research-explorer.ista.ac.at/record/2359
DOI: 10.1103/PhysRevLett.94.080401

Lieb É, Seiringer R, Solovej J. 2005. Ground state energy of the low density Fermi gas. Physical Review A - Atomic, Molecular, and Optical Physics. 71(5).
LibreCat: https://research-explorer.ista.ac.at/record/2362
DOI: 10.1103/PhysRevA.71.053605

Lieb É, Seiringer R. 2005. Stronger subadditivity of entropy. Physical Review A - Atomic, Molecular, and Optical Physics. 71(6).
LibreCat: https://research-explorer.ista.ac.at/record/2361
DOI: 10.1103/PhysRevA.71.062329

Lieb É, Seiringer R, Yngvason J. 2004. One-dimensional behavior of dilute, trapped Bose gases. Communications in Mathematical Physics. 244(2), 347–393.
LibreCat: https://research-explorer.ista.ac.at/record/2356
DOI: 10.1007/s00220-003-0993-3

Lieb É, Seiringer R. 2004.  Equivalent forms of the Bessis-Moussa-Villani conjecture. Journal of Statistical Physics. 115(1–2), 185–190.
LibreCat: https://research-explorer.ista.ac.at/record/2355
DOI: 10.1023/B:JOSS.0000019811.15510.27

Aizenman M, Lieb É, Seiringer R, Solovej J, Yngvason J. 2004. Bose-Einstein quantum phase transition in an optical lattice model. Physical Review A - Atomic, Molecular, and Optical Physics. 70(2), 023612-1-0236121-2.
LibreCat: https://research-explorer.ista.ac.at/record/2360
DOI: 10.1103/PhysRevA.70.023612

Lieb É, Seiringer R. 2003. Bose-Einstein condensation of dilute gases in traps . Differential Equations and Mathematical Physics, Contemporary Mathematics, vol. 327, 239–250.
LibreCat: https://research-explorer.ista.ac.at/record/2337
DOI: 10.1090/conm/327/05818

Lieb É, Seiringer R, Yngvason J. 2003. Poincaré inequalities in punctured domains. Annals of Mathematics. 158(3), 1067–1080.
LibreCat: https://research-explorer.ista.ac.at/record/2357
DOI: 10.4007/annals.2003.158.1067 

Seiringer R. 2003. Ground state asymptotics of a dilute, rotating gas. Journal of Physics A: Mathematical and Theoretical. 36(37), 9755–9778.
LibreCat: https://research-explorer.ista.ac.at/record/2354
DOI: 10.1088/0305-4470/36/37/312

Lieb É, Seiringer R, Yngvason J. 2003. One-dimensional Bosons in three-dimensional traps. Physical Review Letters. 91(15), 1504011–1504014.
LibreCat: https://research-explorer.ista.ac.at/record/2358
DOI: 10.1103/PhysRevLett.91.150401

Seiringer R. 2002. Symmetry breaking in a model of a rotating Bose gas. QMath: Mathematical Results in Quantum Physics, Contemporary Mathematics, vol. 307, 281–286.
LibreCat: https://research-explorer.ista.ac.at/record/2339
DOI: 10.1090/conm/307

Seiringer R. 2002. Gross-Pitaevskii theory of the rotating Bose gas. Communications in Mathematical Physics. 229(3), 491–509.
LibreCat: https://research-explorer.ista.ac.at/record/2351
DOI: 10.1007/s00220-002-0695-2

Lieb É, Seiringer R. 2002. Proof of Bose-Einstein condensation for dilute trapped gases. Physical Review Letters. 88(17), 1704091–1704094.
LibreCat: https://research-explorer.ista.ac.at/record/2349
DOI: 10.1103/PhysRevLett.88.170409

Hainzl C, Seiringer R. 2002. General decomposition of radial functions on dn and applications to N-body quantum systems. Letters in Mathematical Physics. 61(1), 75–84.
LibreCat: https://research-explorer.ista.ac.at/record/2352
DOI: 10.1023/A:1020204818938

Lieb É, Seiringer R, Yngvason J. 2002. Superfluidity in dilute trapped Bose gases. Physical Review B - Condensed Matter and Materials Physics. 66(13).
LibreCat: https://research-explorer.ista.ac.at/record/2353
DOI: 10.1103/PhysRevB.66.134529
arXiv: cond-mat/0205570

Lieb É, Solovej J, Seiringer R, Yngvason J. 2002.The ground state of the Bose gas. In: Current Developments in Mathematics, 2001. Current Developments in Mathematics, , 131–178.
LibreCat: https://research-explorer.ista.ac.at/record/2338
DOI: 10.48550/arXiv.math-ph/0204027
arXiv: math-ph/0204027

Hainzl C, Seiringer R. 2002. Mass renormalization and energy level shift in non-relativistic QED. Advances in Theoretical and Mathematical Physics. 6(5), 847–871.
LibreCat: https://research-explorer.ista.ac.at/record/2350
DOI: 10.4310/ATMP.2002.v6.n5.a3
arXiv: math-ph/0205044v3

Hainzl C, Seiringer R. 2001. A discrete density matrix theory for atoms in strong magnetic fields. Communications in Mathematical Physics. 217(1), 229–248.
LibreCat: https://research-explorer.ista.ac.at/record/2348
DOI: 10.1007/s002200100373
arXiv: math-ph/0010005

Lieb É, Seiringer R, Yngvason J. 2001. A rigorous derivation of the Gross-Pitaevskii energy functional for a two-dimensional Bose gas. Communications in Mathematical Physics. 224(1), 17–31.
LibreCat: https://research-explorer.ista.ac.at/record/2347
DOI: 10.1007/s002200100533
arXiv: cond-mat/0005026

Seiringer R. 2001. On the maximal ionization of atoms in strong magnetic fields. Journal of Physics A: Mathematical and General. 34(9), 1943–1948.
LibreCat: https://research-explorer.ista.ac.at/record/2345
DOI: 10.1088/0305-4470/34/9/311
arXiv: math-ph/0006002

Baumgartner B, Seiringer R. 2001. Atoms with bosonic &;quot;electrons&;quot; in strong magnetic fields. Annales Henri Poincare. 2(1), 41–76.
LibreCat: https://research-explorer.ista.ac.at/record/2341
DOI: 10.1007/PL00001032
arXiv: math-ph/0007007

Hainzl C, Seiringer R. 2001. Bounds on one-dimensional exchange energies with application to lowest Landau band quantum mechanics. Letters in Mathematical Physics. 55(2), 133–142.
LibreCat: https://research-explorer.ista.ac.at/record/2346
DOI: 10.1023/A:1010951905548
arXiv: cond-mat/0102118

Seiringer R. 2001. Bosons in a trap: Asymptotic exactness of the Gross-Pitaevskii ground state energy formula. PDE: Partial Differential Equations and Spectral Theory, Operator Theory: Advances and Applications, vol. 126, 307–314.
LibreCat: https://research-explorer.ista.ac.at/record/2340
DOI: 10.1007/978-3-0348-8231-6
arXiv: math-ph/0010006

Seiringer R. 2000. Inequalities for Schrödinger operators and applications to the stability of matter problem . Arizona School of Analysis With Applications, Contemporary Mathematics, vol. 529, 53–72.
LibreCat: https://research-explorer.ista.ac.at/record/2325
DOI: 10.1090/conm/529

Baumgartner B, Seiringer R. 2000. On the ordering of energy levels in homogeneous magnetic fields. Letters in Mathematical Physics. 54(3), 213–226.
LibreCat: https://research-explorer.ista.ac.at/record/2343
DOI:     10.1023/A:1010978807635

Lieb É, Seiringer R, Yngvason J. 2000. Bosons in a trap: A rigorous derivation of the Gross-Pitaevskii energy functional. Physical Review A - Atomic, Molecular, and Optical Physics. 61(4), 436021–4360213.
LibreCat: https://research-explorer.ista.ac.at/record/2344
DOI: 10.1103/PhysRevA.61.043602
arXiv: math-ph/9908027

Seiringer R, Lieb É, Yngvason J. 2000. The ground state energy and density of interacting bosons in a trap. Proceedings of the International Symposium on Quantum Theory and Symmetries. ISQTS: Quantum Theory and Symmetries, 101–110.
LibreCat: https://research-explorer.ista.ac.at/record/2342
arXiv: math-ph/9911026