MATHEMATICS AND COMPUTER SCIENCE / PHYSICAL SCIENCES

Seiringer Group

Mathematical Physics

The Seiringer group develops new mathematical tools for the rigorous analysis of many-particle systems in quantum mechanics, with a special focus on exotic phenomena in quantum gases, like Bose-Einstein condensation and superfluidity.

A basic problem in statistical mechanics is to understand how the same equations on a microscopic level lead to a variety of very different manifestations on a macroscopic level. Due to the intrinsic mathematical complexity of this problem, one typically has to resort to perturbation theory or other uncontrolled approximations, whose justification remains open. It therefore remains a challenge to derive non-perturbative results and to obtain precise conditions under which the various approximations can or cannot be justified. For this purpose it is necessary to develop new mathematical techniques and methods. These new methods lead to different points of view and thus increase their understanding of physical systems. Concrete problems under current investigation include the spinwave approximation in magnetism, the validity of the Bogoliubov approximation for the excitation spectrum of dilute Bose gases, and pattern formation in Ising models with competing interactions.

Group Leader


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Team


Current Projects

Stability of many-body systems with point interactions | The Heisenberg ferromagnet at low temperature and the spin-wave approximation | Excitation spectrum and superfluidity for weakly interacting Bose gases


Publications

Moser T, Seiringer R. 2019. Energy contribution of a point-interacting impurity in a Fermi gas. Annales Henri Poincare. View

Yakaboylu E, Midya B, Deuchert A, Leopold NK, Lemeshko M. 2018. Theory of the rotating polaron: Spectrum and self-localization. Physical Review B. 98(22). View

Leopold NK, Pickl P. 2018. Mean-field limits of particles in interaction with quantised radiation fields. MaLiQS: Macroscopic Limits of Quantum Systems vol. 270. 185–214. View

Moser T. 2018. Point interactions in systems of fermions, IST Austria, 115p. View

Napiórkowski MM, Reuvers R, Solovej JP. 2018. The Bogoliubov free energy functional I: Existence of minimizers and phase diagram. Archive for Rational Mechanics and Analysis. 229(3), 1037–1090. View

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Career

since 2013 Professor, IST Austria
2010 – 2013 Associate Professor, McGill University, Montreal, Canada
2005 Habilitation, University of Vienna, Austria
2003 – 2010 Assistant Professor, Princeton University, USA
2001 – 2003 Postdoc, Princeton University, USA
2000 – 2001 Assistant, University of Vienna, Austria
2000 PhD, University of Vienna, Austria


Selected Distinctions

2016 ERC Advanced Grant
2012 – 2017 William Dawson Scholarship
2012 – 2014 NSERC E.W.R. Steacie Memorial Fellowship
2009 – 2010 U.S. National Science Foundation CAREER Grant
2009 Henri Poincaré Prize of the International Association of Mathematical Physics
2004 – 2006 Alfred P. Sloan Fellow
2001 – 2003 Erwin Schrödinger Fellow


Additional Information

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