Title
Models including electron correlation in relation to Fock's proposed expansion of the ground-state wave function of He-like atomic ions Models including electron correlation in relation to Fock's proposed expansion of the ground-state wave function of He-like atomic ions
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Lancaster, Pa ,
Subject
Physics
Chemistry
Source (journal)
Physical review : A : atomic, molecular and optical physics. - Lancaster, Pa, 1990 - 2015
Volume/pages
84(2011) :6 , p. 062119,1-062119,4
ISSN
1094-1622
1050-2947
ISI
000298389800002
Carrier
E-only publicatie
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
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.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/4637d2/14dcedd3.pdf
E-info
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