Brummelhuis R., Siedentop, H., Stockmeyer, E.
The Ground State Energy of Relativistic One-Electron Atoms
According to Jansen and Hess
(43K, LATeX)
ABSTRACT. Jansen and He{\ss} -- correcting an earlier paper of Douglas and
Kroll -- have derived a (pseudo-)relativistic energy expression
which is very successfull 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 $\alpha Z\leq 1.006$.