Title 



WKB level spectra in two inhomogeneous electron liquids : Na clusters and C cages
 
Author 



 
Abstract 



After a brief summary of known magic numbers and eigenvalue sums for (a) the hydrogenic potential  Ze(2)/r and (b) the threedimensional isotropic harmonic oscillator potential, approximate semiclassical scaling laws are presented relating to WKB eigenvalues for two more complex central potentials V(r). The first is the socalled WoodsSaxon 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 almostspherical carbon cages such as C60. For these last two potentials, semiclassical theory is shown to lead to qualitative insight, without very lengthy mathematical calculations.   
Language 



English
 
Source (journal) 



Physics and chemistry of liquids.  London  
Publication 



London : 2002
 
ISSN 



00319104
 
Volume/pages 



40:2(2002), p. 123133
 
ISI 



000176331100001
 
Full text (Publishers DOI) 


  
