Improved lower bound on the indirect coulomb energy

Elliott Lieb, Stephen Oxford

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

For a Coulomb system of particles of charge e, it has previously been shown that the indirect part of the repulsive Coulomb energy (exchange plus correlation energy) has a lower bound of the form -Ce2/3∫ρ(x) 4/3 dx, where ρ is the single particle charge density. Here we lower the constant C from the 8.52 previously given to 1.68. We also show that the best possible C is greater than 1.23.

Original languageEnglish (US)
Title of host publicationThe Stability of Matter
Subtitle of host publicationFrom Atoms to Stars: Fourth Edition
PublisherSpringer Berlin Heidelberg
Pages65-77
Number of pages13
ISBN (Print)3540420835, 9783540222125
DOIs
StatePublished - Jan 1 2005

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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  • Cite this

    Lieb, E., & Oxford, S. (2005). Improved lower bound on the indirect coulomb energy. In The Stability of Matter: From Atoms to Stars: Fourth Edition (pp. 65-77). Springer Berlin Heidelberg. https://doi.org/10.1007/3-540-27056-6_4