From the Hartree dynamics to the Vlasov equation
arXiv:1502.04230 · doi:10.1007/s00205-015-0961-z
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.
51 pages, no figures. Minor changes