Improved lower bound on the indirect coulomb energy

Elliott H. 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 - 2005

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy

Fingerprint

Dive into the research topics of 'Improved lower bound on the indirect coulomb energy'. Together they form a unique fingerprint.

Cite this