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Lieb, Elliott H.

Thomas-Fermi and related theories of atoms and molecules. (English) Zbl 1049.81679

Rev. Modern Phys. 53, No. 4, 603-641 (1981); ibid. 54, No. 1, 311 (1982).
Summary: This article is a summary of what is known rigorously about Thomas-Fermi (TF) theory with and without the Dirac and von Weizsäcker 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 Weizsäcker 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.” (This article has appeared elsewhere Rigorous atomic and molecular physics (Erice, 1980), Plenum, New York, 1981.) The erratum contains six minor corrections.

Cited in 83 Documents

MSC:

81V55 Molecular physics
81V45 Atomic physics
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\textit{E. H. Lieb}, Rev. Mod. Phys. 53, No. 4, 603--641 (1981; Zbl 1049.81679)
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