Existence of solutions and convergence of SCF algorithms for the Dirac-Fock problem

E. Séré

CEREMADE, Université Paris-Dauphine, 
Place du Marechal de Lattre de Tassigny,
Paris, F-75016, France.

Abstract

A new variational characterization for the ground state of the Dirac-Fock model will be presented.  Thanks to this characterization, a short proof for the existence of a ground state will be given, and a new convergent algorithm, inspired of the nonrelativistic ODA method, will be introduced.  The convergence proof will be sketched and some numerical examples will be given.