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. 167–182DOI 10.4171/DM/122