FM 04-2015 (arXiv:1502.04230)

Authors: Niels Benedikter, Marcello Porta, Chiara Saffirio, Benjamin Schlein 

Title: From the Hartree dynamics to the Vlasov equation
Abstract: We consider the evolution of quasi-free states describing N fermions in the mean field limit, as governed by the nonlinear Hartree equation. In the limit of large N, 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.