Quantum mean field asymptotics and multiscale analysis
Mathematical Physics
2018-05-23 v1 math.MP
Abstract
We study, via multiscale analysis, some defect of compactness phenomena which occur in bosonic and fermionic quantum mean-field problems. The approach relies on a combination of mean-field asymptotics and second microlocalized semiclassical measures. The phase space geometric description is illustrated by various examples.
Cite
@article{arxiv.1701.06423,
title = {Quantum mean field asymptotics and multiscale analysis},
author = {Zied Ammari and Sébastien Breteaux and Francis Nier},
journal= {arXiv preprint arXiv:1701.06423},
year = {2018}
}