Abstract
We report on some recent results concerning the dynamics of Bose-Einstein condensates, obtained in a series of joint papers 7,8 with L. Erdős and H.-T. Yau. Starting from many body quantum dynamics, we present a rigorous derivation of a cubic nonlinear Schrödinger equation known as the Gross-Pitaevskii equation for the time evolution of the condensate wave function.
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Schlein, B. (2009). Dynamics of Bose-Einstein Condensates. In: Sidoravičius, V. (eds) New Trends in Mathematical Physics. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-2810-5_38
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DOI: https://doi.org/10.1007/978-90-481-2810-5_38
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-2809-9
Online ISBN: 978-90-481-2810-5
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