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arXiv · 0704.0813

Dynamics of Bose-Einstein Condensates

Benjamin Schlein
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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.

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Benjamin Schlein. 2007-04-05. Dynamics of Bose-Einstein Condensates. https://arxiv.org/abs/0704.0813

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