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 0rate of convergence.
From the Hartree Dynamics to the Vlasov Equation / N. Benedikter, M. Porta, C. Saffirio, B. Schlein. - In: ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS. - ISSN 0003-9527. - 221:1(2016), pp. 273-334. [10.1007/s00205-015-0961-z]
From the Hartree Dynamics to the Vlasov Equation
N. Benedikter;
2016
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 0rate of convergence.
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