Solutions of the Dirac-Fock equations without projector
Journées équations aux dérivées partielles (2000), article no. 12, 10 p.

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 and $\alpha max\left(Z,N\right)<2/\left(2/\pi +\pi /2\right)$, where $\alpha$ 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 $N$.

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author = {Paturel, \'Eric},
title = {Solutions of the {Dirac-Fock} equations without projector},
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publisher = {Universit\'e de Nantes},
year = {2000},
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url = {http://www.numdam.org/item/JEDP_2000____A12_0/}
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Paturel, Éric. Solutions of the Dirac-Fock equations without projector. Journées équations aux dérivées partielles (2000), article  no. 12, 10 p. http://www.numdam.org/item/JEDP_2000____A12_0/

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