Derivation of effective evolution equations from many body quantum dynamics

Details Derivation of effective evolution equations from many body quantum dynamics Derivation of effective evolution equations from many body quantum dynamics

2009-10-20

arxiv.org/abs/0910.3969v1

Physics

Mathematical Physics

9 pages. Contribution to the Proceedings of the International Congress on Mathematical Physics held in Prague in August 2009

Scientific paper

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.

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