On the Hartree-Fock equations of the electron/positron field
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
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.
Keywords
Cite
@article{arxiv.math-ph/0404009,
title = {On the Hartree-Fock equations of the electron/positron field},
author = {J. -M. Barbaroux and W. Farkas and B. Helffer and H. Siedentop},
journal= {arXiv preprint arXiv:math-ph/0404009},
year = {2007}
}