Mean-field limit of Bose systems: rigorous results
arXiv:1510.04407
Abstract
We review recent results about the derivation of the Gross-Pitaevskii equation and of the Bogoliubov excitation spectrum, starting from many-body quantum mechanics. We focus on the mean-field regime, where the interaction is multiplied by a coupling constant of order 1/N where N is the number of particles in the system.
Proceedings from the International Congress of Mathematical Physics at Santiago de Chile, July 2015