Title
Ten-electron central field problem : an inhomogeneous electron liquidTen-electron central field problem : an inhomogeneous electron liquid
Author
Faculty/Department
Faculty of Sciences. Physics
Research group
Department of Physics
Publication type
article
Publication
London,
Subject
Physics
Chemistry
Source (journal)
Physics and chemistry of liquids. - London
Volume/pages
40(2002):1, p. 47-56
ISSN
0031-9104
ISI
000176287100004
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Recent work has been carried out on the exchange energy density epsilon(x)(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 E,(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.
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