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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Quantum Empirical &quot\;Measures&quot\; - Francoi
 s Golse (Centre De Mathématiques Laurent Schwartz 
 (CMLS))
DTSTART;TZID=Europe/London:20220114T143000
DTEND;TZID=Europe/London:20220114T153000
UID:TALK166717AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/166717
DESCRIPTION:It is well known that the phase space empirical me
 asure of a N-particle system couples via a binary 
 potential\nand evolving according to Newton's seco
 nd law of motion is a weak solution of the Vlasov 
 equation for the\nmean-field\, self-consistent pot
 ential. The purpose of this talk is (1) to define 
 a quantum analogue of the notion\nof phase space e
 mpirical measure\, (2) to study the equation gover
 ning its evolution\, and (3) to use it to prove\nt
 he mean-field limit for a system of N quantum part
 icles with a convergence rate which is independent
  of the\nPlanck constant. (Work in collaboration w
 ith T. Paul)
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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