Annales Henri Poincaré

, Volume 2, Issue 5, pp 941–961

Nonrelativistic Limit of the Dirac-Fock Equations

  • M.J. Esteban
  • E. Séré

DOI: 10.1007/s00023-001-8600-7

Cite this article as:
Esteban, M. & Séré, E. Ann. Henri Poincaré (2001) 2: 941. doi:10.1007/s00023-001-8600-7
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Abstract.

In this paper, the Hartree-Fock equations are proved to be the non relativistic limit of the Dirac-Fock equations as far as convergence of "stationary states" is concerned. This property is used to derive a meaningful definition of "ground state" energy and "ground state" solutions for the Dirac-Fock model.

Copyright information

© Birkhäuser Verlag Basel, 2001

Authors and Affiliations

  • M.J. Esteban
    • 1
  • E. Séré
    • 2
  1. 1.CEREMADE (UMR C.N.R.S. 7534), Université Paris IX-Dauphine, Place du Maréchal de Lattre de Tassigny, F-75775 Paris Cedex 16, France, e-mail: esteban@ceremade.dauphine.frFR
  2. 2.CEREMADE (UMR C.N.R.S. 7534), Université Paris IX-Dauphine, Place du Maréchal de Lattre de Tassigny, F-75775 Paris Cedex 16, France, e-mail: sere@ceremade.dauphine.frFR

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