2004/04/02 by J. -M. Barbaroux, Jean-Marie Barbaroux, Walter Farkas +5 · 2 citations
Mathematics · Physics and Astronomy · #Atomic and Molecular Physics #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #math-ph #math.MP #msc:34L40 #msc:81V45
paper · pdf · doi:10.1007/s00220-004-1156-x
published as Commun. Math. Phys. 255, 131-159 (2004)
arxiv created 2004/04/02 · openalex publication_date 2004/11/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.