Thomas-fermi and related theories of atoms and molecules

  • Elliott H. Lieb


This article is a summary of what is know rigorously about Thomas-Fermi (TF) theory with and without the Dirac and von Weizsacker 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 infiinity. The von Weizsacker 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.


Related Theory Nuclear Charge Electron Repulsion Neutral Case Atomic Case 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1991

Authors and Affiliations

  • Elliott H. Lieb
    • 1
  1. 1.Departments of Mathematics and PhysicsPrinceton UniversityPrincetonUSA

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