Derivation of effective evolution equations from many body quantum dynamics
arXiv:0910.3969 · doi:10.1142/9789814304634_0031
Abstract
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.
9 pages. Contribution to the Proceedings of the International Congress on Mathematical Physics held in Prague in August 2009