Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Stability and Absence of Binding for Multi-Polaron Systems.”https://doi.org/10.1007/s10240-011-0031-5__Publications Mathematiques de l Institut Des Hautes Etudes Scientifiques. Springer, 2011.https://doi.org/10.1007/s10240-011-0031-5 .

Frank, Rupert, Mathieu Lewin, Élliott Lieb, and Robert Seiringer. “Energy Cost to Make a Hole in the Fermi Sea.”https://doi.org/10.1103/PhysRevLett.106.150402__Physical Review Letters. American Physical Society, 2011.https://doi.org/10.1103/PhysRevLett.106.150402 .

Seiringer, Robert. “The Excitation Spectrum for Weakly Interacting Bosons.”https://doi.org/10.1007/s00220-011-1261-6__Communications in Mathematical Physics. Springer, 2011.https://doi.org/10.1007/s00220-011-1261-6 .

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Equivalence of Sobolev Inequalities and Lieb-Thirring Inequalities,”https://doi.org/10.1142/9789814304634_0045 __523–35. World Scientific Publishing, 2010.https://doi.org/10.1142/9789814304634_0045  .

Seiringer, Robert. “Hot Topics on Cold Gases,”https://doi.org/10.1142/9789814304634_0013__231–45. World Scientific Publishing, 2010.https://doi.org/10.1142/9789814304634_0013 .

Frank, Rupert, and Robert Seiringer. “Sharp Fractional Hardy Inequalities in Half-Spaces.”https://doi.org/10.1007/978-1-4419-1341-8_6__In Around the Research of Vladimir Maz’ya I, 11:161–67. Springer, 2010.https://doi.org/10.1007/978-1-4419-1341-8_6 .

Frank, Rupert, Élliott Lieb, Robert Seiringer, and Lawrence Thomas. “Bipolaron and N-Polaron Binding Energies.”https://doi.org/10.1103/PhysRevLett.104.210402__Physical Review Letters. American Physical Society, 2010.https://doi.org/10.1103/PhysRevLett.104.210402 .

Hainzl, Christian, and Robert Seiringer. “Asymptotic Behavior of Eigenvalues of Schrödinger Type Operators with Degenerate Kinetic Energy.”https://doi.org/10.1002/mana.200810195__Mathematische Nachrichten. Wiley-Blackwell, 2010.https://doi.org/10.1002/mana.200810195 .

Lieb, Élliott, and Robert Seiringer. The Stability of Matter in Quantum Mechanics. Cambridge University Press, 2009.

Hainzl, Christian, and Robert Seiringer. “A Linear Criterion for Solutions of Non-Linear Equations, with Application to the BCS Gap Equation,”https://doi.org/10.1090/conm/500/09823__500:101–4. American Mathematical Society, 2009.https://doi.org/10.1090/conm/500/09823 .

Giuliani, Alessandro, and Robert Seiringer. “The Ground State Energy of the Weakly Interacting Bose Gas at High Density.”https://doi.org/10.1007/s10955-009-9718-0__Journal of Statistical Physics. Springer, 2009.https://doi.org/10.1007/s10955-009-9718-0 .

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Yrast Line of a Rapidly Rotating Bose Gas: Gross-Pitaevskii Regime.”https://doi.org/10.1103/PhysRevA.79.063626__Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2009.https://doi.org/10.1103/PhysRevA.79.063626 .

Seiringer, Robert, and Daniel Ueltschi. “Rigorous Upper Bound on the Critical Temperature of Dilute Bose Gases.”https://doi.org/10.1103/PhysRevB.80.014502__Physical Review B - Condensed Matter and Materials Physics. American Physical Society, 2009.https://doi.org/10.1103/PhysRevB.80.014502 .

Lewin, Mathieu, and Robert Seiringer. “Strongly Correlated Phases in Rapidly Rotating Bose Gases.”https://doi.org/10.1007/s10955-009-9833-y__Journal of Statistical Physics. Springer, 2009.https://doi.org/10.1007/s10955-009-9833-y .

Predd, Joel, Robert Seiringer, Élliott Lieb, Daniel Osherson, Harold Poor, and Sanjeev Kulkarni. “Probabilistic Coherence and Proper Scoring Rules.”https://doi.org/10.1109/TIT.2009.2027573__IEEE Transactions on Information Theory. IEEE, 2009.https://doi.org/10.1109/TIT.2009.2027573 .

Seiringer, Robert. “Vortices and Spontaneous Symmetry Breaking in Rotating Bose Gases,”https://doi.org/10.1142/9789812832382_0017__241–54. World Scientific Publishing, 2008.https://doi.org/10.1142/9789812832382_0017 .

Hainzl, Christian, and Robert Seiringer. “Spectral Properties of the BCS Gap Equation of Superfluidity,”https://doi.org/10.1142/9789812832382_0009__117–36. World Scientific Publishing, 2008.https://doi.org/10.1142/9789812832382_0009 .

Hainzl, Christian, and Robert Seiringer. “Critical Temperature and Energy Gap for the BCS Equation.”https://doi.org/10.1103/PhysRevB.77.184517__Physical Review B - Condensed Matter and Materials Physics. American Physical Society, 2008.https://doi.org/10.1103/PhysRevB.77.184517 .

Seiringer, Robert. “Free Energy of a Dilute Bose Gas: Lower Bound.”https://doi.org/10.1007/s00220-008-0428-2__Communications in Mathematical Physics. Springer, 2008.https://doi.org/10.1007/s00220-008-0428-2 .

Seiringer, Robert, and Jun Yin. “The Lieb-Liniger Model as a Limit of Dilute Bosons in Three Dimensions.”https://doi.org/10.1007/s00220-008-0521-6__Communications in Mathematical Physics. Springer, 2008.https://doi.org/10.1007/s00220-008-0521-6 .

Hainzl, Christian, Eman Hamza, Robert Seiringer, and Jan Solovej. “The BCS Functional for General Pair Interactions.”https://doi.org/10.1007/s00220-008-0489-2__Communications in Mathematical Physics. Springer, 2008.https://doi.org/10.1007/s00220-008-0489-2 .

Hainzl, Christian, Mathieu Lewin, and Robert Seiringer. “A Nonlinear Model for Relativistic Electrons at Positive Temperature.”https://doi.org/10.1142/S0129055X08003547__Reviews in Mathematical Physics. World Scientific Publishing, 2008.https://doi.org/10.1142/S0129055X08003547 .

Seiringer, Robert, and Jun Yin. “Ground State Energy of the Low Density Hubbard Model.”https://doi.org/10.1007/s10955-008-9527-x__Journal of Statistical Physics. Springer, 2008.https://doi.org/10.1007/s10955-008-9527-x .

Frank, Rupert, and Robert Seiringer. “Non-Linear Ground State Representations and Sharp Hardy Inequalities.”https://doi.org/10.1016/j.jfa.2008.05.015__Journal of Functional Analysis. Academic Press, 2008.https://doi.org/10.1016/j.jfa.2008.05.015 .

Hainzl, Christian, and Robert Seiringer. “The BCS Critical Temperature for Potentials with Negative Scattering Length.”https://doi.org/10.1007/s11005-008-0242-y__Letters in Mathematical Physics. Springer, 2008.https://doi.org/10.1007/s11005-008-0242-y .

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Hardy-Lieb-Thirring Inequalities for Fractional Schrödinger Operators.”https://doi.org/10.1090/S0894-0347-07-00582-6__Journal of the American Mathematical Society. American Mathematical Society, 2008.https://doi.org/10.1090/S0894-0347-07-00582-6 .

Seiringer, Robert. “On the Failure of Subadditivity of the Wigner-Yanase Entropy.”https://doi.org/10.1007/s11005-007-0159-x__Letters in Mathematical Physics. Springer, 2007.https://doi.org/10.1007/s11005-007-0159-x .

Frank, Rupert, Élliott Lieb, Robert Seiringer, and Heinz Siedentop. “Müller’s Exchange-Correlation Energy in Density-Matrix-Functional Theory.”https://doi.org/10.1103/PhysRevA.76.052517__Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2007.https://doi.org/10.1103/PhysRevA.76.052517 .

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bose-Einstein Condensation and Spontaneous Symmetry Breaking.”https://doi.org/10.1016/S0034-4877(07)80074-7__Reports on Mathematical Physics. Elsevier, 2007.https://doi.org/10.1016/S0034-4877(07)80074-7 .

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials.”https://doi.org/10.1007/s11005-007-0211-x__Letters in Mathematical Physics. Springer, 2007.https://doi.org/10.1007/s11005-007-0211-x .

Frank, Rupert, Christian Hainzl, Serguei Naboko, and Robert Seiringer. “The Critical Temperature for the BCS Equation at Weak Coupling.”https://doi.org/10.1007/BF02937429__Journal of Geometric Analysis. Springer, 2007.https://doi.org/10.1007/BF02937429 .

Frank, Rupert, Élliott Lieb, and Robert Seiringer. “Stability of Relativistic Matter with Magnetic Fields for Nuclear Charges up to the Critical Value.”https://doi.org/10.1007/s00220-007-0307-2__Communications in Mathematical Physics. Springer, 2007.https://doi.org/10.1007/s00220-007-0307-2 .

Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground-State Energy of a Dilute Fermi Gas,”https://doi.org/10.1090/conm/412__412:239–48. American Mathematical Society, 2006.https://doi.org/10.1090/conm/412 .

Seiringer, Robert, Élliott Lieb, and Jakob Yngvason. “One-Dimensional Behavior of Dilute, Trapped Bose Gases in Traps.”https://doi.org/10.1007/s00220-003-0993-3__edited by Jean Zambrini. World Scientific Publishing, 2006.https://doi.org/10.1007/s00220-003-0993-3 .

Lieb, Élliott, and Robert Seiringer. “Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases.”https://doi.org/10.1007/s00220-006-1524-9__Communications in Mathematical Physics. Springer, 2006.https://doi.org/10.1007/s00220-006-1524-9 .

Seiringer, Robert. “A Correlation Estimate for Quantum Many-Body Systems at Positive Temperature.”https://doi.org/10.1142/S0129055X06002632__Reviews in Mathematical Physics. World Scientific Publishing, 2006.https://doi.org/10.1142/S0129055X06002632 .

Seiringer, Robert. “The Thermodynamic Pressure of a Dilute Fermi Gas.”https://doi.org/10.1007/s00220-005-1433-3__Communications in Mathematical Physics. Springer, 2006.https://doi.org/10.1007/s00220-005-1433-3 .

Frank, Rupert, Ari Laptev, Élliott Lieb, and Robert Seiringer. “Lieb-Thirring Inequalities for Schrödinger Operators with Complex-Valued Potentials.”https://doi.org/10.1007/s11005-006-0095-1__Letters in Mathematical Physics. Springer, 2006.https://doi.org/10.1007/s11005-006-0095-1 .

Seiringer, Robert. “Dilute, Trapped Bose Gases and Bose-Einstein Condensation.”https://doi.org/10.1007/3-540-32579-4_6__In Large Coulomb Systems, edited by Jan Dereziski and Heinz Siedentop, 695:249–74. Springer, 2006.https://doi.org/10.1007/3-540-32579-4_6 .

Aizenman, Michael, Élliott Lieb, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “Bose-Einstein Condensation as a Quantum Phase Transition in an Optical Lattice.”https://doi.org/10.1007/b11573432__In Mathematical Physics of Quantum Mechanics, edited by Joachim Asch and Alain Joye, 690:199–215. Springer, 2006.https://doi.org/10.1007/b11573432 .

Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. The Mathematics of the Bose Gas and Its Condensation. Vol. 34. Baself; Berlin: Birkhäuser Verlag, 2005.https://doi.org/10.1007/b137508 .

Lieb, Élliott, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “The Quantum-Mechanical Many-Body Problem: The Bose Gas.”https://doi.org/10.1007/3-540-30434-7_9__In Perspectives in Analysis, edited by Michael Benedicks, Peter Jones, Stanislav Smirnov, and Björn Winckler, 27:97–183. Springer, 2005.https://doi.org/10.1007/3-540-30434-7_9 .

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Justification of C-Number Substitutions in Bosonic Hamiltonians.”https://doi.org/10.1103/PhysRevLett.94.080401__Physical Review Letters. American Physical Society, 2005.https://doi.org/10.1103/PhysRevLett.94.080401 .

Lieb, Élliott, Robert Seiringer, and Jan Solovej. “Ground State Energy of the Low Density Fermi Gas.”https://doi.org/10.1103/PhysRevA.71.053605__Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2005.https://doi.org/10.1103/PhysRevA.71.053605 .

Lieb, Élliott, and Robert Seiringer. “Stronger Subadditivity of Entropy.”https://doi.org/10.1103/PhysRevA.71.062329__Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2005.https://doi.org/10.1103/PhysRevA.71.062329 .

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “One-Dimensional Behavior of Dilute, Trapped Bose Gases.”https://doi.org/10.1007/s00220-003-0993-3__Communications in Mathematical Physics. Springer, 2004.https://doi.org/10.1007/s00220-003-0993-3 .

Lieb, Élliott, and Robert Seiringer. “Equivalent Forms of the Bessis-Moussa-Villani Conjecture.”https://doi.org/10.1023/B:JOSS.0000019811.15510.27__Journal of Statistical Physics. Springer, 2004.https://doi.org/10.1023/B:JOSS.0000019811.15510.27 .

Aizenman, Michael, Élliott Lieb, Robert Seiringer, Jan Solovej, and Jakob Yngvason. “Bose-Einstein Quantum Phase Transition in an Optical Lattice Model.”https://doi.org/10.1103/PhysRevA.70.023612__Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2004.https://doi.org/10.1103/PhysRevA.70.023612 .

Lieb, Élliott, and Robert Seiringer. “Bose-Einstein Condensation of Dilute Gases in Traps .”https://doi.org/10.1090/conm/327/05818__edited by Yulia Karpeshina, Rudi Weikard, and Yanni Zeng, 327:239–50. American Mathematical Society, 2003.https://doi.org/10.1090/conm/327/05818 .

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Poincaré Inequalities in Punctured Domains.”https://doi.org/10.4007/annals.2003.158.1067 __Annals of Mathematics. Princeton University Press, 2003.https://doi.org/10.4007/annals.2003.158.1067  .

Seiringer, Robert. “Ground State Asymptotics of a Dilute, Rotating Gas.”https://doi.org/10.1088/0305-4470/36/37/312__Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd., 2003.https://doi.org/10.1088/0305-4470/36/37/312 .

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “One-Dimensional Bosons in Three-Dimensional Traps.”https://doi.org/10.1103/PhysRevLett.91.150401__Physical Review Letters. American Physical Society, 2003.https://doi.org/10.1103/PhysRevLett.91.150401 .

Seiringer, Robert. “Symmetry Breaking in a Model of a Rotating Bose Gas.”https://doi.org/10.1090/conm/307__edited by Richardo Weder, Pavel Exner, and Benoit Grébert, 307:281–86. World Scientific Publishing, 2002.https://doi.org/10.1090/conm/307 .

Seiringer, Robert. “Gross-Pitaevskii Theory of the Rotating Bose Gas.”https://doi.org/10.1007/s00220-002-0695-2__Communications in Mathematical Physics. Springer, 2002.https://doi.org/10.1007/s00220-002-0695-2 .

Lieb, Élliott, and Robert Seiringer. “Proof of Bose-Einstein Condensation for Dilute Trapped Gases.”https://doi.org/10.1103/PhysRevLett.88.170409__Physical Review Letters. American Physical Society, 2002.https://doi.org/10.1103/PhysRevLett.88.170409 .

Hainzl, Christian, and Robert Seiringer. “General Decomposition of Radial Functions on dn and Applications to N-Body Quantum Systems.”https://doi.org/10.1023/A:1020204818938__Letters in Mathematical Physics. Springer, 2002.https://doi.org/10.1023/A:1020204818938 .

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Superfluidity in Dilute Trapped Bose Gases.”https://doi.org/10.1103/PhysRevB.66.134529__Physical Review B - Condensed Matter and Materials Physics. American Physical Society, 2002.https://doi.org/10.1103/PhysRevB.66.134529 .

Lieb, Élliott, Jan Solovej, Robert Seiringer, and Jakob Yngvason. “The Ground State of the Bose Gas.”https://doi.org/10.48550/arXiv.math-ph/0204027__In Current Developments in Mathematics, 2001, 131–78. International Press, 2002.https://doi.org/10.48550/arXiv.math-ph/0204027 .

Hainzl, Christian, and Robert Seiringer. “Mass Renormalization and Energy Level Shift in Non-Relativistic QED.”https://doi.org/10.4310/ATMP.2002.v6.n5.a3__Advances in Theoretical and Mathematical Physics. International Press, 2002.https://doi.org/10.4310/ATMP.2002.v6.n5.a3 .

Hainzl, Christian, and Robert Seiringer. “A Discrete Density Matrix Theory for Atoms in Strong Magnetic Fields.”https://doi.org/10.1007/s002200100373__Communications in Mathematical Physics. Springer, 2001.https://doi.org/10.1007/s002200100373 .

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “A Rigorous Derivation of the Gross-Pitaevskii Energy Functional for a Two-Dimensional Bose Gas.”https://doi.org/10.1007/s002200100533__Communications in Mathematical Physics. Springer, 2001.https://doi.org/10.1007/s002200100533 .

Seiringer, Robert. “On the Maximal Ionization of Atoms in Strong Magnetic Fields.”https://doi.org/10.1088/0305-4470/34/9/311__Journal of Physics A: Mathematical and General. IOP Publishing Ltd., 2001.https://doi.org/10.1088/0305-4470/34/9/311 .

Baumgartner, Bernhard, and Robert Seiringer. “Atoms with Bosonic &;quot;Electrons&;quot; in Strong Magnetic Fields.”https://doi.org/10.1007/PL00001032__Annales Henri Poincare. Birkhäuser, 2001.https://doi.org/10.1007/PL00001032 .

Hainzl, Christian, and Robert Seiringer. “Bounds on One-Dimensional Exchange Energies with Application to Lowest Landau Band Quantum Mechanics.”https://doi.org/10.1023/A:1010951905548__Letters in Mathematical Physics. Springer, 2001.https://doi.org/10.1023/A:1010951905548 .

Seiringer, Robert. “Bosons in a Trap: Asymptotic Exactness of the Gross-Pitaevskii Ground State Energy Formula.”https://doi.org/10.1007/978-3-0348-8231-6__edited by Michael Demuth and Bert Schultze, 126:307–14. Birkhäuser, 2001.https://doi.org/10.1007/978-3-0348-8231-6 .

Seiringer, Robert. “Inequalities for Schrödinger Operators and Applications to the Stability of Matter Problem ,”https://doi.org/10.1090/conm/529__529:53–72. American Mathematical Society, 2000.https://doi.org/10.1090/conm/529 .

Baumgartner, Bernhard, and Robert Seiringer. “On the Ordering of Energy Levels in Homogeneous Magnetic Fields.”https://doi.org/Â  Â  10.1023/A:1010978807635__Letters in Mathematical Physics. Springer, 2000.https://doi.org/Â  Â  10.1023/A:1010978807635 .

Lieb, Élliott, Robert Seiringer, and Jakob Yngvason. “Bosons in a Trap: A Rigorous Derivation of the Gross-Pitaevskii Energy Functional.”https://doi.org/10.1103/PhysRevA.61.043602__Physical Review A - Atomic, Molecular, and Optical Physics. American Physical Society, 2000.https://doi.org/10.1103/PhysRevA.61.043602 .

Seiringer, Robert, Élliott Lieb, and Jakob Yngvason. “The Ground State Energy and Density of Interacting Bosons in a Trap.” In Proceedings of the International Symposium on Quantum Theory and Symmetries, 101–10. World Scientific Publishing, 2000.