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Quantum Empirical "Measures"

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FKTW02 - Frontiers in analysis of kinetic equations

It is well known that the phase space empirical measure of a N-particle system couples via a binary potential and evolving according to Newton’s second law of motion is a weak solution of the Vlasov equation for the mean-field, self-consistent potential. The purpose of this talk is (1) to define a quantum analogue of the notion of phase space empirical measure, (2) to study the equation governing its evolution, and (3) to use it to prove the mean-field limit for a system of N quantum particles with a convergence rate which is independent of the Planck constant. (Work in collaboration with T. Paul)

This talk is part of the Isaac Newton Institute Seminar Series series.

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