Title
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Three-dimensional Wigner molecules formed from an assembly of confined but Coulombically repelling electrons
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Author
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Abstract
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We first consider N Coulombically interacting electrons confined within a sphere of radius R by an infinite potential barrier. Scaling properties of the Hamiltonian are first discussed, followed by the virial theorem. In the limit of large R and N, it is shown that the problem can be reduced to the solution of N point charges -\e\ constrained to move on the surface of a sphere of radius R-W here defined as Wigner radius. Finally, the results of the above model are compared with those of harmonically confined electrons. (C) 2004 Elsevier B.V. All rights reserved. |
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Language
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English
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Source (journal)
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Physics letters : A. - Amsterdam, 1967, currens
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Publication
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Amsterdam
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North-Holland
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2004
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ISSN
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0375-9601
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DOI
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10.1016/J.PHYSLETA.2004.02.041
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Volume/pages
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324
:1
(2004)
, p. 46-50
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ISI
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000220548300008
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Full text (Publisher's DOI)
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Full text (publisher's version - intranet only)
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