Solutions of the Dirac-Fock equations without projector
Paturel, Éric
Journées équations aux dérivées partielles, (2000), p. 1-10 / Harvested from Numdam
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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.

Publié le : 2000-01-01
@article{JEDP_2000____A12_0,
     author = {Paturel, \'Eric},
     title = {Solutions of the Dirac-Fock equations without projector},
     journal = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     year = {2000},
     pages = {1-10},
     language = {en},
     url = {http://dml.mathdoc.fr/item/JEDP_2000____A12_0}
}

Paturel, Éric. Solutions of the Dirac-Fock equations without projector. Journées équations aux dérivées partielles,  (2000), pp. 1-10. http://gdmltest.u-ga.fr/item/JEDP_2000____A12_0/

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