07-83 Benjamin Schlein

Dynamics of Bose-Einstein Condensates (309K, pdf) Apr 5, 07

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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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