On the Hartree-Fock equations of the electron/positron field
Barbaroux, Jean-Marie ; Farkas, W. ; Helffer, B. ; Siedentop, H.
HAL, hal-00012912 / Harvested from HAL
Text on HAL
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.
Publié le : 2004-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph] 
@article{hal-00012912,
     author = {Barbaroux, Jean-Marie and Farkas, W. and Helffer, B. and Siedentop, H.},
     title = {On the Hartree-Fock equations of the electron/positron field},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00012912}
}

Barbaroux, Jean-Marie; Farkas, W.; Helffer, B.; Siedentop, H. On the Hartree-Fock equations of the electron/positron field. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00012912/