Abstract.
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 \(\alpha\max(Z, N)\)<\({2\over {2\over \Pi}+{\Pi\over 2}}\), where \(\alpha \approx {1\over 137}\) is the fundamental constant of the electromagnetic interaction. 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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Submitted 30/12/99, accepted 18/04/2000
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Paturel, E. Solutions of the Dirac-Fock Equations without Projector. Ann. Henri Poincaré 1, 1123–1157 (2000). https://doi.org/10.1007/PL00001024
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DOI: https://doi.org/10.1007/PL00001024