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).

4/18/24 5/30/24

Oberseminar Analysis

Universität Leipzig Augusteum - A314

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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