Communications in Mathematical Physics

, Volume 79, Issue 2, pp 167–180 | Cite as

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

  • Rafael Benguria
  • Haim Brezis
  • Elliott H. Lieb


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.


Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 
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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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