Geodesic
Stability of the relativistic electron-positron field of atoms in Hartree-Fock approximation: Heavy elements
Documenta mathematica, Tome 6 (2001), pp. 1-8.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

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.
Classification : 35Q40, 81Q10
Keywords: Dirac operator, stability of matter, QED, generalized Hartree-Fock states 
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     title = {Stability of the relativistic electron-positron field of atoms in {Hartree-Fock} approximation: {Heavy} elements},
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Brummelhuis, Raymond; Röhrl, Norbert; Siedentop, Heinz. Stability of the relativistic electron-positron field of atoms in Hartree-Fock approximation: Heavy elements. Documenta mathematica, Tome 6 (2001), pp. 1-8. http://geodesic.mathdoc.fr/item/DOCMA_2001__6__a21/