The Ground State Energy of Relativistic One-Electron Atoms According to Jansen and Heß

@inproceedings{Brummelhuis2001TheGS,
  title={The Ground State Energy of Relativistic One-Electron Atoms According to Jansen and He\ss},
  author={R. Brummelhuis and Heinz Siedentop and Edgardo Stockmeyer},
  year={2001}
}
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 αZ ≤ 1.006. 2000 Mathematics Subject Classification: 81Q10, 81V45