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Joint Meeting of AMS, DMV, and ÖMG
June 16-19, 2005
Johannes Gutenberg University
Mainz, Germany

Organizers
Volker Bach, Mainz; Klaus D. Bierstedt, DMV; Susan Friedlander, Associate Secretary, AMS

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Dynamics of Bose-Einstein Condensates
by
Horng-Tzer Yau
Stanford University and New York University
Coauthors: L. Erdos and B. Schlein

Gross and Pitaevskii proposed to model the dynamics of the Bose-Einstein condensate by a nonlinear Schrödinger equation, the Gross-Pitaevskii equation. This equation plays a key role in the theory and experiments of the Bose-Einstein condensation. The fundamental mathematical question is to derive this equation from the first principle physics law, the many-body Schrödinger equation. In the time-independent setting, this problem was solved by Lieb-Seiringer-Yngvason. In this lecture, we shall review the recent progress concerning the dynamical aspects of this problem and the analytic methods developed for quantum dynamics of many-body systems.

Paper reference: arXiv:math-ph/0410005

Date received: March 28, 2005

Copyright © 2005 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caqm-03.