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arXiv:0910.3969 [math-ph]AbstractReferencesReviewsResources

Derivation of effective evolution equations from many body quantum dynamics

Benjamin Schlein

Published 2009-10-20Version 1

We review some recent results concerning the derivation of effective evolution equations from first principle quantum dynamics. In particular, we discuss the derivation of the Hartree equation for mean field systems and the derivation of the Gross-Pitaevskii equation for the time evolution of Bose-Einstein condensates.

Comments: 9 pages. Contribution to the Proceedings of the International Congress on Mathematical Physics held in Prague in August 2009
Categories: math-ph, math.MP
Subjects: 81U05, 81U30, 81V70, 82C10
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