Quantum Dynamics and Optimal Transport

Explore the intersection of quantum dynamics and optimal transport in this illuminating seminar presented by François Golse from École polytechnique, France. Delve into the fascinating question of whether Monge's theory of optimal transport, which has been successfully applied to classical dynamics of large particle systems, can be extended to quantum states. Investigate the potential for comparing quantum states or quantum states with classical phase space densities using a quantum analogue of optimal transport. Discover how these concepts might be applied to study mean-field and classical limits of quantum dynamics. Gain insights from recent research findings, including collaborative work with E. Caglioti, C. Mouhot, and T. Paul, in this thought-provoking presentation from the Society for Industrial and Applied Mathematics.