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Wednesday 27 January
Semiclassical limit from the Hartree equation to the VlasovPoisson system
Chiara Saffirio, Université de Basel, Suisse
The derivation of the VlasovPoisson equation, that describes the evolution of a systems of N interacting noncollisional particles at macroscopic scale, is a classical problem in mathematical physics. In this talk we will review this topic in the quantum setting, by using the Hartree equation as a bridge between the Nbody Schrödinger equation and the VlasovPoisson system. We will show that a solution of the Hartree equation converges strongly towards a solution of the VlasovPoisson equation in the semiclassical limit.
The results hold for singular interactions (included the Coulomb and gravitational potentials) and exhibit explicit bounds on the convergence rate.
Seminars to come

Wednesday 3 February, 14h00 – 15h00
Propriétés statistiques et géométriques d’observations de systèmes dynamiques
Théophile Caby (LAMIA, Université des Antilles) 

Wednesday 24 February, 14h00 – 15h00
Gaz de Lorentz aléatoires et marches déterministes en environnement aléatoire
Romain Aimino (Universidade do Porto)