2014•Centre International de Rencontres MathématiquesOpen access

From the Hartree-Fock dynamics to the Vlasov equation

Chiara Saffirio

Abstract

We will discuss the convergence (in the semiclassical limit) of a solution to the Hartree-Fock equation towards an operator, whose Wigner transform is a solution to the Vlasov equation. We will consider both cases of positive and zero temperature. The results we will present are part of a project in collaboration with N. Benedikter, M. Porta and B. Schlein.

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Available abstract

Key concepts: Semiclassical physics, Vlasov equation, Limit (mathematics), Convergence (economics), Hartree–Fock method, Operator (biology), Mathematical physics, Zero (linguistics)