Geodesic
The ground state energy of relativistic one-electron atoms according to Jansen and Heß
Documenta mathematica, Tome 7 (2002), pp. 167-182
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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.
DOI : 10.4171/dm/122
Classification : 81Q10, 81V45 
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     author = {Raymond Brummelhuis and Heinz Siedentop and Edgardo Stockmeyer},
     title = {The ground state energy of relativistic one-electron atoms according to {Jansen} and {He{\ss}}},
     journal = {Documenta mathematica},
     pages = {167--182},
     year = {2002},
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     doi = {10.4171/dm/122},
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Raymond Brummelhuis; Heinz Siedentop; Edgardo Stockmeyer. The ground state energy of relativistic one-electron atoms according to Jansen and Heß. Documenta mathematica, Tome 7 (2002), pp. 167-182. doi: 10.4171/dm/122

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