Publication
Title
Models including electron correlation in relation to Fock's proposed expansion of the ground-state wave function of He-like atomic ions
Author
Abstract
Here attention is first drawn to the importance of gaining insight into Fock's early proposal for expanding the ground-state wave function for He-like atomic ions in hyperspherical coordinates. We approach the problem via two solvable models, namely, (i) the s-term model put forth by Temkin [ Phys. Rev. 126 130 (1962)] and (ii) the Hookean atom model proposed by Kestner and Sinanoglu [ Phys. Rev. 128 2687 (1962)]. In both cases the local kinetic energy can be obtained explicitly in hyperspherical coordinates. Separation of variables occurs in both model wave functions, though in a different context in the two cases. Finally, a k-space formulation is proposed that should eventually result in distinctive identifying characteristics of Fock's nonanalyticities for He-like atomic ions when both electrons are close to the nucleus.
Language
English
Source (journal)
Physical review : A : atomic, molecular and optical physics. - Lancaster, Pa, 1990 - 2015
Publication
Lancaster, Pa : 2011
ISSN
1094-1622 [online]
1050-2947 [print]
Volume/pages
84:6(2011), p. 062119,1-062119,4
Article Reference
062119
ISI
000298389800002
Medium
E-only publicatie
Full text (Publisher's DOI)
Full text (open access)
UAntwerpen
Faculty/Department
Research group
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identification
Creation 15.02.2012
Last edited 30.11.2017
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