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TZID:Europe/Paris
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BEGIN:VEVENT
UID:1-290@lptms.universite-paris-saclay.fr
DTSTART:20141202T110000Z
DTEND:20141202T120000Z
DTSTAMP:20141201T094042Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-marcello-porta/
SUMMARY:Séminaire du LPTMS: Marcello Porta - LPTMS\, salle 201\, 2ème ét
 age\, Bât 100\, Campus d'Orsay - 2 Déc 14 11:00
DESCRIPTION:Mean-Field Evolution of Fermionic Systems\n\nMarcello Porta\, U
 niversité de Zurich\nIn this talk I will discuss the dynamics of interact
 ing fermionic systems in the mean-field regime. Compared to the bosonic ca
 se\, fermionic mean-field scaling is naturally coupled with a semiclassica
 l scaling\, making the analysis more involved. From a physical point of v
 iew\, as the number of particles grows one expects the quantum evolution 
 of the system to be effectively described by Hartree-Fock theory. The nex
 t degree of approximation is provided by a classical effective dynamics\, 
 corresponding to the Vlasov equation.\nI will consider initial data which 
 are close to quasi-free states\, both at zero and at positive temperature\
 , with an appropriate semiclassical structure. Under some regularity ass
 umptions on the interaction potential I will show that the time evolution
  of such initial data stays close to a quasi-free state\, with reduced on
 e-particle density matrix given by the solution of the time-dependent Har
 tree-Fock equation. The result holds for all (semiclassical) times\, and 
 gives effective bounds on the rate of convergence towards the Hartree-Fock
  dynamics as the number of particles goes to infinity.
LOCATION:LPTMS\, salle 201\, 2ème étage\, Bât 100\, Campus d'Orsay\, 15 
 Rue Georges Clemenceau\, Orsay\, 91405\, France
GEO:48.698185;2.181768
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=15 Rue Georges Clemenceau\,
  Orsay\, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=LPTMS\, salle 201\, 2è
 me étage\, Bât 100\, Campus d'Orsay:geo:48.698185,2.181768
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