Publication
Title
Local energy equation for two-electron atoms and relation between kinetic energy and electron densities
Author
Abstract
In early work, Dawson and March [J. Chem. Phys. 81, 5850 (1984)] proposed a local energy method for treating both Hartree-Fock and correlated electron theory. Here, an exactly solvable model two-electron atom with pure harmonic interactions is treated in its ground state in the above context. A functional relation between the kinetic energy density t(r) at the origin r=0 and the electron density rho(r) at the same point then emerges. The same approach is applied to the Hookean atom, in which the two electrons repel with Coulombic energy e(2)/r(12), with r(12) the interelectronic separation, but are still harmonically confined. Again the kinetic energy density t(r) is the focal point, but now generalization away from r=0 is also effected. Finally, brief comments are added about He-like atomic ions in the limit of large atomic number. (C) 2003 American Institute of Physics.
Language
English
Source (journal)
The journal of chemical physics. - New York, N.Y.
Publication
New York, N.Y. : 2003
ISSN
0021-9606
Volume/pages
118:15(2003), p. 6846-6851
ISI
000181945200015
Full text (Publisher's DOI)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 03.01.2013
Last edited 16.08.2017
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