Paturel E.
Solutions of the Dirac-Fock equations without projector.
(678K, Postscript)
ABSTRACT. In this paper we prove the existence of infinitely many solutions of the
Dirac-Fock equations with $N$ electrons turning around a nucleus of atomic
charge $Z$, satisfying $N < Z+1$ and $\alpha \max(Z,N) <
\frac{2}{\frac{\pi}{2}+\frac{2}{\pi}}$, where $\alpha$ is the fundamental
constant of the electromagnetic interaction. This work is an improvement of an
article of Esteban-S\'er\'e, where the same result was proved under more
restrictive assumptions on $N$.