Annales Henri Poincaré

, Volume 1, Issue 6, pp 1123–1157

Solutions of the Dirac-Fock Equations without Projector

  • Eric Paturel

DOI: 10.1007/PL00001024

Cite this article as:
Paturel, E. Ann. Henri Poincaré (2000) 1: 1123. doi:10.1007/PL00001024

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.

Copyright information

© Birkhäuser Verlag Basel, 2000

Authors and Affiliations

  • Eric Paturel
    • 1
  1. 1.CEREMADE, URA CNRS 749, Université Paris IX-Dauphine, place du Maréchal de Lattre de Tassigny, F-75775 Paris cedex 16, France, e-mail: paturel@pi.ceremade.dauphine.frFR