Ten-electron central field problem: An inhomgeneous electron liquid

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

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

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
Volume40
Issue number1
Publication statusPublished - Feb 2002

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Electrons
Liquids
liquids
electrons
Potential energy
eigenvectors
flux density
potential energy
Ions
ions
Compensation and Redress

Keywords

  • Density matrix
  • Inhomogeneous electron liquid

ASJC Scopus subject areas

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

Cite this

Howard, I. A., March, N. H., Nagy, A., & Van Doren, V. E. (2002). Ten-electron central field problem: An inhomgeneous electron liquid. Physics and Chemistry of Liquids, 40(1), 47-56.

Ten-electron central field problem : An inhomgeneous electron liquid. / Howard, I. A.; March, N. H.; Nagy, A.; Van Doren, V. E.

In: Physics and Chemistry of Liquids, Vol. 40, No. 1, 02.2002, p. 47-56.

Research output: Contribution to journalArticle

Howard, IA, March, NH, Nagy, A & Van Doren, VE 2002, 'Ten-electron central field problem: An inhomgeneous electron liquid', Physics and Chemistry of Liquids, vol. 40, no. 1, pp. 47-56.
Howard, I. A. ; March, N. H. ; Nagy, A. ; Van Doren, V. E. / Ten-electron central field problem : An inhomgeneous electron liquid. In: Physics and Chemistry of Liquids. 2002 ; Vol. 40, No. 1. pp. 47-56.
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