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Mean field propagation of infinite dimensional Wigner measures with a singular two-body interaction potential

Mean field propagation of infinite dimensional Wigner measures with a singular two-body interaction potential

We consider the quantum dynamics of many bosons systems in the mean field limit with a singular pair-interaction potential, including the attractive or repulsive Coulombic case in three dimensions.By using a measure transportation technique developed in [3], we show that Wigner measures propagate along the nonlinear Hartree flow.Such property was …