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

Rafael Benguria, Haim Brezis, Elliott H. Lieb

Research output: Chapter in Book/Report/Conference proceedingChapter


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)
Title of host publicationThe Stability of Matter
Subtitle of host publicationFrom Atoms to Stars: Fourth Edition
PublisherSpringer Berlin Heidelberg
Number of pages14
ISBN (Print)3540420835, 9783540222125
StatePublished - Jan 1 2005
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

Benguria, R., Brezis, H., & Lieb, E. H. (2005). The Thomas-Fermi-von Weizsäcker theory of atoms and molecules. In The Stability of Matter: From Atoms to Stars: Fourth Edition (pp. 357-370). Springer Berlin Heidelberg.