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SUMMARY:Chiara Saffirio (U. Basel)
DTSTART:20210618T130000Z
DTEND:20210618T140000Z
DTSTAMP:20260423T035407Z
UID:OpenPDEA/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OpenPDEA/10/
 ">(Seminar) Mean-field evolution of fermionic mixed states with singular  
 interaction potentials</a>\nby Chiara Saffirio (U. Basel) as part of Open 
 PDE and analysis seminar and lectures\n\n\nAbstract\nWe will consider the 
 many-body evolution of initially \nconfined fermions interacting through a
  singular potential. In a joint \nmean-field and semiclassical scaling and
  using second quantization \ntechniques\, we will show that\, for mixed st
 ates enjoying a semiclassical \nstructure\, the many-body dynamics can be 
 approximated in Schatten norms \nby the time-dependent Hartree-Fock equati
 on. In particular\, we will \nhighlight the advantages and drawbacks of co
 nsidering such strong \ntopology instead of the quantum Wasserstein distan
 ce introduced in [F. \nGolse\, C. Mouhot and T. Paul\, Commun. Math. Phys.
  343\, 165-205 (2016]).\n
LOCATION:https://researchseminars.org/talk/OpenPDEA/10/
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