Title
Slater sum for a three-dimensional inhomogeneous Fermi fluid with one-dimensional harmonic confinement Slater sum for a three-dimensional inhomogeneous Fermi fluid with one-dimensional harmonic confinement
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. 173-179
ISSN
0031-9104
ISI
000176331100006
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Abstract
In early work, Bardeen [1] proposed a model whereby a three-dimensional Fermi fluid is confined to a half-space 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 off-diagonal 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.
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