# Mathematics Colloquia and Seminars

Return to Colloquia & Seminar listing

### Rigorous results on the interacting Bose gas

**Mathematical Physics & Probability**

Speaker: | Robert Seiringer, Princeton University |

Location: | 693 Kerr |

Start time: | Tue, Apr 15 2003, 3:10PM |

We present a summary of recent results on the interacting Bose gas, that were obtained in joint work with Elliott Lieb and Jakob Yngvason. The ground state of a dilute Bose gas in a trap, as considered in recent experiments, is usually described by means of the Gross-Pitaevskii equation, a non-linear one-particle Schroedinger equation. We clarify its status as an approximation to the quantum mechanical many-body ground state problem. In addition, we prove the existence of Bose-Einstein condensation and Superfluidity in the dilute limit. If time permits, we also discuss the generalization of our results to rotating systems, and investigate the effect of a breaking of the rotational symmetry.