Dynamics of Bose-Einstein Condensates

Details Dynamics of Bose-Einstein Condensates Dynamics of Bose-Einstein Condensates

2007-04-05

arxiv.org/abs/0704.0813v1

Physics

Mathematical Physics

20 pages, 2 figures; contribution to the Proceedings of the International Congress on Mathematical Physics held at IMPA in Rio

Scientific paper

We report on some recent results concerning the dynamics of Bose-Einstein
condensates, obtained in a series of joint papers with L. Erdos and H.-T. Yau.
Starting from many body quantum dynamics, we present a rigorous derivation of a
cubic nonlinear Schroedinger equation known as the Gross-Pitaevskii equation
for the time evolution of the condensate wave function.

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