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

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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.

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     author = {Paturel, \'Eric},
     title = {Solutions of the {Dirac-Fock} equations without projector},
     booktitle = {},
     series = {Journ\'ees \'equations aux d\'eriv\'ees partielles},
     eid = {12},
     pages = {1--10},
     publisher = {Universit\'e de Nantes},
     year = {2000},
     doi = {10.5802/jedp.576},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/jedp.576/}
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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.. doi: 10.5802/jedp.576

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