Dynamics of Bose-Einstein Condensates
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
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.
Cite
@article{arxiv.0704.0813,
title = {Dynamics of Bose-Einstein Condensates},
author = {Benjamin Schlein},
journal= {arXiv preprint arXiv:0704.0813},
year = {2007}
}
Comments
20 pages, 2 figures; contribution to the Proceedings of the International Congress on Mathematical Physics held at IMPA in Rio de Janeiro in August 2006