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math-ph2004
On the Hartree-Fock equations of the electron/positron field
J. -M. Barbaroux, W. Farkas, B. Helffer +1
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 app…
math-ph2004
Some connections between Dirac-Fock and Electron-Positron Hartree-Fock
Jean-Marie Barbaroux, Maria J. Esteban, Eric Séré
We study the ground state solutions of the Dirac-Fock model in the case of weak electronic repulsion, using bifurcation theory. They are solutions of a min-max problem. Then we inv…