Annales Henri Poincaré

, Volume 9, Issue 4, pp 711–742 | Cite as

Hartree–Fock Theory for Pseudorelativistic Atoms

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


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.


Density Matrix Essential Spectrum Integral Kernel Modern Mathematical Physic Schmidt Operator 


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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

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