From the Hartree dynamics to the Vlasov equation
Mathematical Physics
2016-02-17 v3 math.MP
Abstract
We consider the evolution of quasi-free states describing fermions in the mean field limit, as governed by the nonlinear Hartree equation. In the limit of large , we study the convergence towards the classical Vlasov equation. For a class of regular interaction potentials, we establish precise bounds on the rate of convergence.
Keywords
Cite
@article{arxiv.1502.04230,
title = {From the Hartree dynamics to the Vlasov equation},
author = {Niels Benedikter and Marcello Porta and Chiara Saffirio and Benjamin Schlein},
journal= {arXiv preprint arXiv:1502.04230},
year = {2016}
}
Comments
51 pages, no figures. Minor changes