Solutions of the Dirac-Fock equations without projector

Éric Paturel

doi:10.5802/jedp.576

Éric Paturel

Journées équations aux dérivées partielles (2000), article no. 12, 10 p.

Résumé

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 $α max (Z, N) < 2 / (2 / π + π / 2)$ , where $α$ is the fundamental constant of the electromagnetic interaction (approximately 1/137). This work is an improvement of an article of Esteban-Séré, where the same result was proved under more restrictive assumptions on $N$ .

DOI : 10.5802/jedp.576

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Éric Paturel. Solutions of the Dirac-Fock equations without projector. Journées équations aux dérivées partielles (2000), article  no. 12, 10 p.. doi: 10.5802/jedp.576

Bibliographie
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