99-476 Paturel E.

Solutions of the Dirac-Fock equations without projector. (678K, Postscript) Dec 13, 99

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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 $N$.

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