Séminaire Jeunes chercheurs (Francesco Cocco, jeudi 30 avril 2026)

La prochaine séance du séminaire Jeunes chercheurs du CEREMADE aura lieu le jeudi 30 avril 2026 exceptionnellement à 15h30 en salle A707. Nous aurons le plaisir d'écouter Francesco Cocco (CEREMADE), qui nous parlera de

Mean-field dynamics of infinitely many quantum particles systems.

Abstract
In the domain of statistical mechanics, mean-field methods represent a useful tool in order to study the evolution of systems made up by a very high number of interacting particles. In this talk we will use these techniques to analyse the evolution of quantum systems where the number of particles is sent to infinity. After a short introduction about the classical counterpart of this topic, we describe the behaviour of N-body quantum systems, understanding how the mean-field approximation leads to a new equation, called Hartree equation. Finally, we discuss the short time well-posedness properties of this object.