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The ground state energy of heavy atoms: Relativistic lowering of the leading energy correction
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.).
2008 (English)In: Communications in Mathematical Physics, ISSN 0010-3616, E-ISSN 1432-0916, Vol. 278, no 2, 549-566 p.Article in journal (Refereed) Published
Abstract [en]

We 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 to results for the Schrodinger operator.

Place, publisher, year, edition, pages
2008. Vol. 278, no 2, 549-566 p.
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Other Physics Topics
URN: urn:nbn:se:kth:diva-33357DOI: 10.1007/s00220-007-0397-xISI: 000252615100008ScopusID: 2-s2.0-38749083006OAI: diva2:414651
QC 20110504Available from: 2011-05-04 Created: 2011-05-04 Last updated: 2011-05-04Bibliographically approved

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Frank, Rupert L.
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