Annales Henri Poincaré

, Volume 9, Issue 4, pp 711–742

Hartree–Fock Theory for Pseudorelativistic Atoms

  • Anna Dall’Acqua
  • Thomas Østergaard Sørensen
  • Edgardo Stockmeyer

DOI: 10.1007/s00023-008-0370-z

Cite this article as:
Dall’Acqua, A., Sørensen, T.Ø. & Stockmeyer, E. Ann. Henri Poincaré (2008) 9: 711. doi:10.1007/s00023-008-0370-z


We study the Hartree–Fock model for pseudorelativistic atoms, that is, atoms where the kinetic energy of the electrons is given by the pseudo-relativistic operator \(\sqrt{(|{\bf p}|c)^{2} + (mc^{2})^{2}} - mc^{2}\). We prove the existence of a Hartree–Fock minimizer, and prove regularity away from the nucleus and pointwise exponential decay of the corresponding orbitals.

Copyright information

© Birkhaueser 2008

Authors and Affiliations

  • Anna Dall’Acqua
    • 1
  • Thomas Østergaard Sørensen
    • 2
  • Edgardo Stockmeyer
    • 3
  1. 1.Institut für Analysis und Numerik, Fakultät für MathematikOtto-von-Guericke UniversitätMagdeburgGermany
  2. 2.Department of Mathematical SciencesAalborg UniversityAalborg EastDenmark
  3. 3.Mathematisches InstitutUniversität MünchenMunichGermany