Benjamin Schlein
Dynamics of Bose-Einstein Condensates
(309K, pdf)

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.