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Title
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WKB level spectra in two inhomogeneous electron liquids : Na clusters and C cages
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Author
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Abstract
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| After a brief summary of known magic numbers and eigenvalue sums for (a) the hydrogenic potential - Ze(2)/r and (b) the three-dimensional isotropic harmonic oscillator potential, approximate semi-classical scaling laws are presented relating to WKB eigenvalues for two more complex central potentials V(r). The first is the so-called Woods-Saxon potential, used in early work to calculate electronic magic numbers in clusters of Na atoms. The second potential V(r) chosen arises from a simple surface charge model of almost-spherical carbon cages such as C-60. For these last two potentials, semi-classical theory is shown to lead to qualitative insight, without very lengthy mathematical calculations. |
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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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2002
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ISSN
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0031-9104
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DOI
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10.1080/00319100208086655
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Volume/pages
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40
:2
(2002)
, p. 123-133
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ISI
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000176331100001
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Full text (Publisher's DOI)
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