The ground state energy of relativistic one-electron atoms according to Jansen and Heß

  • Raymond Brummelhuis

    Birkbeck College Mathematik University of London Theresienstr. 39 School of Economics, 80333 München Mathematics and Statistics Germany Gresse Street
  • Heinz Siedentop

    London W1T 1LL United Kingdom
  • Edgardo Stockmeyer

    Pontificia Universidad Católica de Chile Departamento de Física Casilla 306 Santiago 22 Chile
The ground state energy of relativistic one-electron atoms according to Jansen and Heß cover
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Abstract

Jansen and Heß -- correcting an earlier paper of Douglas and Kroll -- have derived a (pseudo-)relativistic energy expression which is very successful in describing heavy atoms. It is an approximate no-pair Hamiltonian in the Furry picture. We show that their energy in the one-particle Coulomb case, and thus the resulting self-adjoint Hamiltonian and its spectrum, is bounded from below for .

Cite this article

Raymond Brummelhuis, Heinz Siedentop, Edgardo Stockmeyer, The ground state energy of relativistic one-electron atoms according to Jansen and Heß. Doc. Math. 7 (2002), pp. 167–182

DOI 10.4171/DM/122