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Nonrelativistic Limit of the Dirac-Fock Equations

Esteban, Maria J.; Séré, Eric (2001), Nonrelativistic Limit of the Dirac-Fock Equations, Annales Henri Poincaré, 2, 5, p. 941-961. http://dx.doi.org/10.1007/s00023-001-8600-7

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Type
Article accepté pour publication ou publié
Date
2001
Journal name
Annales Henri Poincaré
Volume
2
Number
5
Publisher
Springer
Pages
941-961
Publication identifier
Metadata
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Author(s)
Esteban, Maria J. cc
Séré, Eric
Abstract (EN)
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.
Subjects / Keywords
Bifurcations from the essential spectrum; Strongly indefinite functionals; Critical points; Variational methods; Hartree-Fock equations; Dirac-Fock equations; Nonlinear eigenvalue problems; Ground state; Quantum chemistry; Nonrelativistic limit; Relativistic quantum mechanics