Mean field limit for Bosons with compact kernels interactions by Wigner   measures transportation
  We consider a class of many-body Hamiltonians composed of a free (kinetic) part and a multi-particle (potential) interaction with a compactness assumption on the latter part. We investigate the mean field limit of such quantum systems following the Wigner measures approach. We prove the propagation of these measures along the flow of a nonlinear (Hartree) field equation. This enhances and complements some previous results in the subject. 
Boris Pawilowski and Quentin Liard
math-ph math.MP