Title
WKB level spectra in two inhomogeneous electron liquids : Na clusters and C cages WKB level spectra in two inhomogeneous electron liquids : Na clusters and C cages
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
London ,
Subject
Physics
Chemistry
Source (journal)
Physics and chemistry of liquids. - London
Volume/pages
40(2002) :2 , p. 123-133
ISSN
0031-9104
ISI
000176331100001
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
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.
E-info
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000176331100001&DestLinkType=RelatedRecords&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000176331100001&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=ef845e08c439e550330acc77c7d2d848
Handle