Improved lower bound on the indirect Coulomb energy

Elliott H. Lieb, Stephen Oxford

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404 Scopus citations


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)
Pages (from-to)427-439
Number of pages13
JournalInternational Journal of Quantum Chemistry
Issue number3
StatePublished - Mar 1981

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry


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