Most of my research is concerned with the mathematical analysis of quantum-mechanical systems, in particular many-body systems in atomic and condensed matter physics. The goal is to develop the necessary methods for establishing rigorous mathematical results on physically relevant issues. My main research interest at the moment is Bose-Einstein condensation, a topic which currently attracts a lot of attention both among theoretical and experimental physicists.

Personal Webpage

• E.H. Lieb, R. Seiringer, "Proof of Bose-Einstein Condensation for Dilute Trapped Gases", Phys. Rev. Lett. 88, 170409 (2002).   
• M. Aizenman, E.H. Lieb, R. Seiringer, J.P. Solovej, J. Yngvason, "Bose-Einstein quantum phase transition in an optical lattice model",  Phys. Rev. A 70, 023612 (2004).   
• E.H. Lieb, R. Seiringer, J. Yngvason, "Justification of c-Number Substitutions in Bosonic Hamiltonians", Phys. Rev. Lett. 94, 080401 (2005).  
• E.H. Lieb, R. Seiringer, "Stronger subadditivity of entropy", Phys. Rev. A 71, 062329 (2005).  
• R. Seiringer, "The Thermodynamic Pressure of a Dilute Fermi Gas",  Commun. Math. Phys.  261, 729 (2006). 
• E.H. Lieb, R. Seiringer, "Derivation of the Gross-Pitaevskii Equation for Rotating Bose Gases", Commun. Math. Phys. 264, 505 (2006).   
• R. Seiringer, "Free Energy of a Dilute Bose Gas: Lower Bound",  Commun. Math. Phys. 279, 595 (2008).   
• C. Hainzl, R. Seiringer, "Critical temperature and energy gap for the BCS equation",  Phys. Rev. B 77, 184517 (2008).
• R.L. Frank, E.H. Lieb, R. Seiringer, "Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators", J. Amer. Math. Soc. 21, 925 (2008).
• R. Seiringer, J. Yin, "The Lieb-Liniger Model as a Limit of Dilute Bosons in Three Dimensions", Commun. Math. Phys. 284, 459 (2008).