Brummelhuis, Raymond; Röhrl, Norbert; Siedentop, Heinz
Stability of the relativistic electron-positron field of atoms in Hartree-Fock approximation: Heavy elements
Doc. Math., J. DMV 6, 1-8 . (2001)
Summary: We show that the modulus of the Coulomb Dirac operator with a sufficiently small coupling constant bounds the modulus of the free Dirac operator from above up to a multiplicative constant depending on the product of the nuclear charge and the electronic charge. This bound sharpens a result of Bach et al citeBachetal1999 and allows to prove the positivity of the relativistic electron-positron field of an atom in Hartree-Fock approximation for all elements occurring in nature.
Mathematics Subject Classification
Dirac operator, stability of matter, QED, generalized Hartree-Fock states