Stability of the relativistic electron-positron field of atoms in Hartree-Fock approximation: Heavy elements
type: Item
instance of: scholarly article
title: Stability of the relativistic electron-positron field of atoms in Hartree-Fock approximation: Heavy elements
zbMATH Open document ID: 0964.35123
author: Norbert Röhrl
author: Heinz Siedentop
author: R. G. M. Brummelhuis
published in: Documenta Mathematica
publication date: 2001-02-08T00:00:00Z
full work available at URL: 01.html
review text: 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. 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 ID: 35Q40
Mathematics Subject Classification ID: 81Q10
zbMATH DE Number: 1557034
zbMATH Keywords: Dirac operator
zbMATH Keywords: stability of matter
zbMATH Keywords: quantum electrodynamics
zbMATH Keywords: generalized Hartree-Fock states
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1557034