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SUMMARY:Francois Golse (Ecole Polytechnique)
DTSTART:20210528T130000Z
DTEND:20210528T150000Z
DTSTAMP:20260423T021043Z
UID:OpenPDEA/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OpenPDEA/8/"
 >(Lecture) Optimal Transport Distances in Quantum Mechanics</a>\nby Franco
 is Golse (Ecole Polytechnique) as part of Open PDE and analysis seminar an
 d lectures\n\n\nAbstract\nThe first part of this talk is focussed on the d
 efinition of \nan extension of the Monge-Kantorovich-Wasserstein distance 
 of exponent 2 \nto the set density operators\, which correspond to probabi
 lity measures \nin quantum mechanics. We shall mostly explore the metric p
 roperties of \nthis extension\, in particular compare it with the Wasserst
 ein metric \nitself\, and discuss variants of the triangle inequality.\n\n
 The second part of the talk presents some applications of this notion of \
 nquantum Wasserstein distances\, to the uniform convergence of \ntime-spli
 tting schemes in the Planck constant for quantum dynamics\, to \neffective
  observation inequalities for the Heisenberg or the Schrödinger \nequatio
 ns\, and to the uniformity in the Planck constant of convergence \nrates f
 or the mean-field limit in quantum mechanics.\n(Based on a series of works
  with E. Caglioti\, C. Mouhot and T. Paul)\n
LOCATION:https://researchseminars.org/talk/OpenPDEA/8/
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