Many-body atomic potentials in Thomas-Fermi theory

Rafael Benguria, Elliott H. Lieb

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Many-body atomic potentials, ε, are functions of the nuclear coordinates, and are defined by differences of ground state energies, E, e.g., ε(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 co-ordinates. We also prove that the remainder in the expansion of the total energy E in terms of the ε's, when truncated at the n-body terms, has the sign (-1)n+1.

Original languageEnglish (US)
Title of host publicationThe Stability of Matter
Subtitle of host publicationFrom Atoms to Stars: Fourth Edition
PublisherSpringer Berlin Heidelberg
Pages317-328
Number of pages12
ISBN (Print)3540420835, 9783540222125
DOIs
StatePublished - Jan 1 2005

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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