Title
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Ground-state energy of an s-state model of the inhomogeneous electron liquid in relation to an exactly solvable model of He with additional radial correlation
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Author
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Abstract
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Following Temkin's proposal of the so-called s-wave model, Amovilli, Howard and March (AHM) displayed an exactly solvable model Hamiltonian in which an additional radial correlation is added. The ground-state wave function for this Hamiltonian, for modelling He-like atomic ions with nuclear charge Ze, is used here to compare and contrast with the Temkin Model. The differences only appear near the critical charges Z(c)e at which one electron ionises, Z(c) being precisely unity for the AHM model and having the value 0.948768 in Serra's variational study of the s-wave model. These two models are then compared with He-like ions having the correct e(2)/r(12) interaction. |
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Language
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English
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Source (journal)
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Physics and chemistry of liquids. - London
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Publication
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London
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2014
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ISSN
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0031-9104
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DOI
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10.1080/00319104.2014.888427
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Volume/pages
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52
:4
(2014)
, p. 571-575
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ISI
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000337604100009
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Full text (Publisher's DOI)
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