Ten-electron central field problem: An inhomgeneous electron liquid

I. A. Howard, N. H. March, Á Nagy, V. E. Van Doren

Research output: Contribution to journalArticle

5 Citations (Scopus)


Recent work has been carried out on the exchange energy density εx(r) of a ten-electron atomic ion in the (bare Coulomb) limit of large atomic number Z [Howard, I. A. et al. (2000). Phys. Rev. A, 62, 062512]. This analytical study of εx(r) was made possible by the existence of a closed form of the first-order (idempotent) density matrix (1DM). Here, some generalizations are effected to a central potential energy V(r) which (a) localizes the ten electrons and (b) yields closed K and L shells for these ten electrons occupying the lowest eigenstates with spin compensation. In particular, it is shown that p-shell properties alone determine the 1DM in this example of a confined inhomogeneous electron liquid.

Original languageEnglish
Pages (from-to)47-56
Number of pages10
JournalPhysics and Chemistry of Liquids
Issue number1
Publication statusPublished - Feb 2002


  • Density matrix
  • Inhomogeneous electron liquid

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Physical and Theoretical Chemistry
  • Materials Chemistry

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