Geodesic
The ground state energy of relativistic one-electron atoms according to Jansen and Heß
Documenta mathematica, Tome 7 (2002), pp. 167-182.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 $\alpha Z\leq 1.006$.
Classification : 81Q10, 81V45 
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     author = {Brummelhuis, Raymond and Siedentop, Heinz and Stockmeyer, Edgardo},
     title = {The ground state energy of relativistic one-electron atoms according to {Jansen} and {He{\ss}}},
     journal = {Documenta mathematica},
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Brummelhuis, Raymond; Siedentop, Heinz; Stockmeyer, Edgardo. The ground state energy of relativistic one-electron atoms according to Jansen and Heß. Documenta mathematica, Tome 7 (2002), pp. 167-182. http://geodesic.mathdoc.fr/item/DOCMA_2002__7__a12/