Journée "Équations d'évolution"

Around Quantum Optimal Transport (1/7)

by François Golse (Ecole polytechnique)

Amphithéâtre Léon Motchane (IHES)

Amphithéâtre Léon Motchane


Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette

This talk will start with a few basic notions about the classical theory of optimal transport between two probability measures (Monge and Wasserstein distances, Kantorovich duality, Brenier’s theorem). Recent results about extensions of these notions to the case of density operators in the content of quantum mechanics will be presented, with applications to the derivation of kinetic equations from quantum N-body systems. Finally, we shall propose a notion of optimal transport from a phase-space (classical0 probability density to a quantum density operator.

From the same series
2 3 4 5 6 7
Organized by

Clément Mouhot