Geodesic
Stability of the relativistic electron-positron field of atoms in Hartree-Fock approximation: Heavy elements
Documenta mathematica, Tome 6 (2001), pp. 1-8
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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.
DOI : 10.4171/dm/93
Classification : 35Q40, 81Q10
Mots-clés : 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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Norbert Röhrl; Raymond Brummelhuis; Heinz Siedentop. Stability of the relativistic electron-positron field of atoms in Hartree-Fock approximation: Heavy elements. Documenta mathematica, Tome 6 (2001), pp. 1-8. doi: 10.4171/dm/93

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