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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
Article

Abstract.

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.

Keywords

Density Matrix Essential Spectrum Integral Kernel Modern Mathematical Physic Schmidt Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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