zur Startseite

Marcello Porta

Mean field evolution of fermionic systems

Abstract: In this talk I will consider the dynamics of interacting fermionic systems in the mean field regime. As the number of particles goes to infinity, the dynamics is expected to be well approximated by the time-dependent Hartree-Fock equation. In this talk, I will present results on the rigorous derivation of this effective evolution equation, at zero temperature (pure states) and at positive temperature (mixed states). Under the assumption that a suitable semiclassical structure of the initial datum is propagated along the Hartree-Fock flow, I will discuss the extension of these results to the case of particles interacting via a Coulomb potential.