From the Hartree dynamics to the Vlasov equation

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Documents

  • Niels Patriz Benedikter
  • Marcello Porta
  • Chiara Saffirio
  • Benjamin Schlein
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.
Original languageEnglish
JournalArchive for Rational Mechanics and Analysis
Volume221
Issue number1
Pages (from-to)273–334
ISSN0003-9527
DOIs
Publication statusPublished - 2016

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