Ideal-gas density matrices and cluster expansions in a box are re-derived in theta-function form; the interacting quasi-1D cluster expansions are mean-field approximations, not exact cluster expansions.
Alternating series expansion in Eqn.( 13) further re- duces the spatial correlations in the Fermi gas in com- parison to that in the Bose gas as clear in the FIG
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Finite-size effects on the cluster expansions for quantum gases in restricted geometries
Ideal-gas density matrices and cluster expansions in a box are re-derived in theta-function form; the interacting quasi-1D cluster expansions are mean-field approximations, not exact cluster expansions.