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SUMMARY:Derivation of the Vlasov equation from many-body quantum dynamics 
 - Chiara Saffirio (Universität Basel)
DTSTART:20220112T112000Z
DTEND:20220112T122000Z
UID:TALK167426@talks.cam.ac.uk
DESCRIPTION:We will consider the many-body evolution of initially&nbsp\;co
 nfined fermions interacting through a singular potential.\nIn a joint&nbsp
 \;mean-field and semiclassical scaling and using second quantization&nbsp\
 ;techniques\, we will show that\, for mixed states enjoying a semiclassica
 l&nbsp\;structure\, the many-body dynamics can be approximated in Schatten
  norms&nbsp\;by the time-dependent Hartree-Fock equation.&nbsp\;\nMoreover
 \, in the semiclassical limit\, the dynamics is close to the one described
  by the Vlasov equation with singular interactions\, thus providing a two-
 step approximation of the many-body evolution.\nThe method used provides e
 xplicit bounds on the convergence rate.&nbsp\;\nBased on joint works with 
 J. Chong and L. Lafl&egrave\;che.
LOCATION:Seminar Room 1\, Newton Institute
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