Mean field limit for Bosons with compact kernels interactions by Wigner measures transportation
Mathematical Physics
2014-02-19 v1 math.MP
Abstract
We consider a class of many-body Hamiltonians composed of a free (kinetic) part and a multi-particle (potential) interaction with a compactness assumption on the latter part. We investigate the mean field limit of such quantum systems following the Wigner measures approach. We prove the propagation of these measures along the flow of a nonlinear (Hartree) field equation. This enhances and complements some previous results in the subject.
Cite
@article{arxiv.1402.4261,
title = {Mean field limit for Bosons with compact kernels interactions by Wigner measures transportation},
author = {Boris Pawilowski and Quentin Liard},
journal= {arXiv preprint arXiv:1402.4261},
year = {2014}
}
Comments
27 pages. arXiv admin note: text overlap with arXiv:1111.5918 by other authors