Hartree-Fock theory for pseudorelativistic atoms

Details Hartree-Fock theory for pseudorelativistic atoms Hartree-Fock theory for pseudorelativistic atoms

2007-07-31

arxiv.org/abs/0707.4612v1

Physics

Mathematical Physics

Scientific paper

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 pseudorelativistic
operator \sqrt{(pc)^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.

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