Title
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Models including electron correlation in relation to Fock's proposed expansion of the ground-state wave function of He-like atomic ions
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Author
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Abstract
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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. |
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Language
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English
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Source (journal)
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Physical review : A : atomic, molecular and optical physics. - Lancaster, Pa, 1990 - 2015
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Publication
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Lancaster, Pa
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2011
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ISSN
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1094-1622
[online]
1050-2947
[print]
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DOI
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10.1103/PHYSREVA.84.062119
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Volume/pages
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84
:6
(2011)
, p. 062119,1-062119,4
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Article Reference
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062119
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ISI
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000298389800002
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Medium
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E-only publicatie
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Full text (Publisher's DOI)
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Full text (open access)
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