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Mean-Field- and Classical Limit of Many-Body Schrodinger Dynamics for Bosons

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 نشر من قبل Sandro Graffi
 تاريخ النشر 2006
  مجال البحث فيزياء
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We present a new proof of the convergence of the N-particle Schroedinger dynamics for bosons towards the dynamics generated by the Hartree equation in the mean-field limit. For a restricted class of two-body interactions, we obtain convergence estimates uniform in the Planck constant , up to an exponentially small remainder. For h=0, the classical dynamics in the mean-field limit is given by the Vlasov equation.



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