Published March 2008
| Submitted
Journal Article
Open
The Ground State Energy of Heavy Atoms: Relativistic Lowering of the Leading Energy Correction
Chicago
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Abstract
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 Schrödinger operator.
Additional Information
© 2007 The authors. Reproduction of this article for non-commercial purposes by any means is permitted. Received: 16 February 2007; Accepted: 02 May 2007; First Online: 21 December 2007. We thank Elliott Lieb and Robert Seiringer for various supportive discussions. R.F. and H.S. thank the Departments ofMathematics and Physics of Princeton University for hospitality while this work was done. The work has been partially supported by the Swedish Foundation for International Cooperation in Research and Higher Education (STINT) (R.F.), the U.S. National Science Foundation, grant PHY 01 39984 (H.S.), and the Deutsche Forschungsgemeinschaft, grant SI 348/13-1 (H.S.).Attached Files
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Additional details
- Eprint ID
- 77356
- Resolver ID
- CaltechAUTHORS:20170510-160420593
- Swedish Foundation for International Cooperation in Research and Higher Education (STINT)
- NSF
- PHY-0139984
- Deutsche Forschungsgemeinschaft
- SI 348/13-1
- Created
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2017-05-12Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field