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<Z+1 and αmax(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.

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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://archive.numdam.org/item/JEDP_2000____A12_0/

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