Title 



Slater sum for a threedimensional inhomogeneous Fermi fluid with onedimensional harmonic confinement
 
Author 



 
Abstract 



In early work, Bardeen [1] proposed a model whereby a threedimensional Fermi fluid is confined to a halfspace by a planar infinite barrier in the xy plane. Brown, Brown and March [2] subsequently worked out the Slater sum S(z, beta), beta = 1/k(B)T, for this same model of partial confinement. The present work considers S(z, beta) for additional harmonic confinement in the z direction. When the harmonic force constant is switched off the Slater sum calculated by Brown, Brown and March is recovered. The offdiagonal Slater sum, namely the canonical density matrix, is treated which in turn yields the Feynman propagator for this model when the reciprocal temperature beta is replaced by the pure imaginary time.   
Language 



English
 
Source (journal) 



Physics and chemistry of liquids.  London  
Publication 



London : 2002
 
ISSN 



00319104
 
Volume/pages 



40:2(2002), p. 173179
 
ISI 



000176331100006
 
Full text (Publishers DOI) 


  
