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 / Benedikter, N; Porta, M; Saffirio, C; Schlein, B. - 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
Porta M;
2016-01-01
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.File in questo prodotto:
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