Communications in Mathematical Physics

, Volume 65, Issue 3, pp 231–246 | Cite as

Long range atomic potentials in Thomas-Fermi theory

  • Haim Brezis
  • Elliott H. Lieb


We prove that the interaction among neutral atoms in Thomas-Fermi theory behaves, for large separationl, likeΓl−7. The constant Γ is independent of the atomic nuclear charges, but does depend on the relative positions of the nuclei. We also show that Π is not a simple sum of pair terms, i.e. in TF theory three and higher body terms persist into the asymptotic (inl) region.


Neural Network Statistical Physic Complex System Relative Position Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Haim Brezis
    • 1
  • Elliott H. Lieb
    • 2
  1. 1.Department de MathématiquesUniversité Paris VIParis Cedex 05France
  2. 2.Departments of Mathematics and PhysicsPrinceton UniversityPrincetonUSA

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