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.

51 pages, no figures. Minor changes

References in corpus (1)

• Symmetry breaking in the self-consistent Kohn-Sham equations

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