Physics – Mathematical Physics
Scientific paper
2004-04-02
Commun. Math. Phys. 255, 131-159 (2004)
Physics
Mathematical Physics
Scientific paper
10.1007/s00220-004-1156-x
We study the energy of relativistic electrons and positrons interacting via
the second quantized Coulomb potential in the field of a nucleus of charge Z
within the Hartree-Fock approximation. We show that the associated functional
has a minimizer. In addition, all minimizers are purely electronic states, they
are projections, and fulfill the no-pair Dirac-Fock equations.
Barbaroux Jean-Marie
Farkas Walter
Helffer Bernard
Siedentop Heinz
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