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Thomas-fermi and related theories of atoms and molecules
Abstract
This article is a summary of what is know rigorously about Thomas-Fermi (TF) theory with and without the Dirac and von Weizs\"acker corrections. It is also shown that TF theory agrees asymptotically, in a certain sense, with nonrelativistic quantum theory as the nuclear charge $z$ tends to infinity. The von Weizs\"acker correction is shown to correct certain undesirable features of TF theory and to yield a theory in much better agreement with what is believed (but as yet unproved) to be the structure of real atoms. Many open problems in the theory are presented.
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Citations
Cited by
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Jones, R. O. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.897 · Cited by 1,492
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Lieb, E. H. (1983) · International Journal of Quantum Chemistry · doi:10.1002/qua.560240302 · Cited by 1,242
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Metadata
- Authors
- Lieb, E. H.
- Venue
- Reviews of Modern Physics
- Publisher
- American Physical Society (APS)
- Published
- 1981-10-01
- Volume
- 53
- Issue
- 4
- Pages
- 603-641
- ISSN
- 0034-6861 (ISSN-L)
- OpenAlex
- W1995080413
- Cited by
- 861
- References
- 0
- FWCI
- 13.48
- Type
- journal article
- Language
- en
- Open access
- closed
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