Long range atomic potentials in Thomas-Fermi theory

Haim Brezis, Elliott H. Lieb

Research output: Contribution to journalArticlepeer-review

39 Scopus citations


We prove that the interaction among neutral atoms in Thomas-Fermi theory behaves, for large separation l, like Γl-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 (in l) region.

Original languageEnglish (US)
Pages (from-to)231-246
Number of pages16
JournalCommunications In Mathematical Physics
Issue number3
StatePublished - Oct 1979

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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