Communications in Mathematical Physics

, Volume 79, Issue 2, pp 167–180

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

  • Rafael Benguria
  • Haim Brezis
  • Elliott H. Lieb

DOI: 10.1007/BF01942059

Cite this article as:
Benguria, R., Brezis, H. & Lieb, E.H. Commun.Math. Phys. (1981) 79: 167. doi:10.1007/BF01942059


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.

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Rafael Benguria
    • 1
  • Haim Brezis
    • 2
  • Elliott H. Lieb
    • 3
  1. 1.The Rockefeller UniversityNew YorkUSA
  2. 2.Département de MathématiquesUniversité Paris VIParis Cedex 05France
  3. 3.Departments of Mathematics and PhysicsPrinceton UniversityPrincetonUSA

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