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The ground state energy of relativistic one-electron atoms according to Jansen and Heß - MaRDI portal

The ground state energy of relativistic one-electron atoms according to Jansen and Heß (Q1605626)

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scientific article; zbMATH DE number 1770061
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The ground state energy of relativistic one-electron atoms according to Jansen and Heß
scientific article; zbMATH DE number 1770061

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    The ground state energy of relativistic one-electron atoms according to Jansen and Heß (English)
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    25 July 2002
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    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 \(\alpha Z\leq 1.006\).
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    heavy atoms
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    Furry picture
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    one-particle Coulomb case
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