Many-body atomic potentials in Thomas-Fermi theory

Rafael Benguria, Elliott H. Lieb

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Many-body atomic potentials, ε{lunate}, are functions of the nuclear coordinates, and are defined by differences of ground state energies, E, e.g., ε{lunate}(1, 2) ≡ E(1, 2) - E(1) - E(2). We prove that in Thomas-Fermi theory the n-body potential always has the sign (-1)n for all coordinates. We also prove that the remainder in the expansion of the total energy E in terms of the ε{lunate}'s, when truncated at the n-body terms, has the sign (-1)n+1.

Original languageEnglish (US)
Pages (from-to)34-45
Number of pages12
JournalAnnals of Physics
Issue number1
StatePublished - Jan 1978

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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