# From the Hartree equation to the Vlasov-Poisson system: strong convergence for a class of mixed states

Saffirio, Chiara. (2021) From the Hartree equation to the Vlasov-Poisson system: strong convergence for a class of mixed states. Preprints Fachbereich Mathematik, 2021 (06).

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Official URL: https://edoc.unibas.ch/81507/

We consider the evolution of $N$ fermions interacting through a Coulomb or gravitational potential in the mean-field limit as governed by the nonlinear Hartree equation with Coulomb or gravitational interaction. In the limit of large $N$, we study the convergence in trace norm towards the classical Vlasov-Poisson equation for a special class of mixed quasi-free states.