The Thomas-Fermi-von Weizsäcker theory of atoms and molecules

Rafael Benguria, Haim Brezis, Elliott H. Lieb

Research output: Contribution to journalArticlepeer-review

253 Scopus citations


We place the Thomas-Fermi-von Weizsäcker model of atoms on a firm mathematical footing. We prove existence and uniqueness of solutions of the Thomas-Fermi-von Weizsäcker equation as well as the fact that they minimize the Thomas-Fermi-von Weizsäcker energy functional. Moreover, we prove the existence of binding for two very dissimilar atoms in the frame of this model.

Original languageEnglish (US)
Pages (from-to)167-180
Number of pages14
JournalCommunications In Mathematical Physics
Issue number2
StatePublished - Mar 1981

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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