A rigorous derivation of the time-dependent Hartree-Fock equations from the quantum N-body problem

The time-dependent Hartree-Fock (TDHF) equations describe the evolution of large systems of fermions (e.g. electrons) in the mean-field limit. They play an important role for instance in Chemistry. In this talk, we explain how this system can be rigorously derived from the linear, N-body Schroedinger equation with pairwise interaction under a scaling assumption known as "weak coupling".

(This result has been obtained in collaboration with C. Bardos, A. Gottlieb and N. Mauser).