Thomas-fermi and related theories of atoms and molecules

Elliott Lieb

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Scopus citations

Abstract

This article is a summary of what is know 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.

Original languageEnglish (US)
Title of host publicationThe Stability of Matter
Subtitle of host publicationFrom Atoms to Stars: Fourth Edition
PublisherSpringer Berlin Heidelberg
Pages263-301
Number of pages39
ISBN (Print)3540420835, 9783540222125
DOIs
StatePublished - Jan 1 2005

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Fingerprint Dive into the research topics of 'Thomas-fermi and related theories of atoms and molecules'. Together they form a unique fingerprint.

  • Cite this

    Lieb, E. (2005). Thomas-fermi and related theories of atoms and molecules. In The Stability of Matter: From Atoms to Stars: Fourth Edition (pp. 263-301). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-27056-6_20