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

  • François Golse (Université Paris VII)
A3 01 (Sophus-Lie room)


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).

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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