The Ground State Energy of Heavy Atoms: Relativistic Lowering of the Leading Energy Correction

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dc.creatorFrank, Rupert L.
dc.creatorSiedentop, Heinz
dc.creatorWarzel, Simone
dc.date2007-02-16
dc.date.accessioned2026-07-07T09:19:58Z
dc.date.available2026-07-07T09:19:58Z
dc.descriptionWe describe atoms by a pseudo-relativistic model that has its origin in the work of Chandrasekhar. We prove that the leading energy correction for heavy atoms, the Scott correction, exists. It turns out to be lower than in the non-relativistic description of atoms. Our proof is valid up to and including the critical coupling constant. It is based on a renormalization of the energy whose zero level we adjust to be the ground-state energy of the corresponding non-relativistic problem. This allows us to roll the proof back -- by relatively simple technical means -- to results for the Schrödinger operator.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0702056
dc.identifierhttp://arxiv.org/abs/math-ph/0702056
dc.identifierCommunications in Mathematical Physics 278, 549-566 (2008)
dc.identifierdoi:10.1007/s00220-007-0397-x
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154589
dc.subjectMathematical Physics
dc.subjectSpectral Theory
dc.subjectAtomic Physics
dc.titleThe Ground State Energy of Heavy Atoms: Relativistic Lowering of the Leading Energy Correction
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