Mean-field limit of Bose systems: rigorous results
Mathematical Physics
2015-10-16 v1 Quantum Gases
Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1510.04407,
title = {Mean-field limit of Bose systems: rigorous results},
author = {Mathieu Lewin},
journal= {arXiv preprint arXiv:1510.04407},
year = {2015}
}
Comments
Proceedings from the International Congress of Mathematical Physics at Santiago de Chile, July 2015