Slater sum for a three-dimensional inhomogeneous Fermi fluid with one-dimensional harmonic confinementSlater sum for a three-dimensional inhomogeneous Fermi fluid with one-dimensional harmonic confinement
Faculty of Sciences. Physics

Department of Physics

article

2002London, 2002

Physics

Chemistry

Physics and chemistry of liquids. - London

40(2002):2, p. 173-179

0031-9104

000176331100006

E

English (eng)

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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