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Prog. Theor. Phys. Supplement No.44 (1969) pp. 118-143

Analytic Properties of the One- and Two-Particle Distribution Functions of Bose Fluids

Hiroaki Hara and Tohru Morita

Department of Applied Science, Faculty of Engineering, Tohoku University, Sendai

(Received March 28, 1969)

Abstract:

It is the purpose of this article to give an analysis of the one- and two-particle distribution functions of the ideal Bose gas and the hard sphere Bose gas. The distribution functions of the ideal Bose gas are expanded in two forms which are useful for the cases of r ≫λ_TT and r ≪λ_T, respectively. The analysis for the hard sphere gas are performed in the chain approximation or the Bogolyubov approximation. Asymptotic forms are given for the various limiting cases separately, where the cases are classified by the relative magnitudes of r/R_c, λ_T/R_c and unity.

URL : http://ptp.ipap.jp/link?PTPS/44/118/
DOI : 10.1143/PTPS.44.118

[ Full Text PDF : FREE ACCESS (1146K) ] Citation: Plain Text BiBTeX EndNote(RIS) RSS

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Citing Article(s) :

1. Progress of Theoretical Physics Vol. 43 No. 3 (1970) pp. 647-659 :

   Behavior of Reduced Density Matrices of the Ideal Fermi Gas

   Hiroaki Hara

2. Progress of Theoretical Physics Vol. 45 No. 6 (1971) pp. 2002-2003 :

   Condensation in the Hard-Sphere Bose Gas

   Hiroaki Hara and Hiroshi Ichimura

3. Progress of Theoretical Physics Vol. 48 No. 6 (1972) pp. 2144-2170 :

   Cluster Expansion for Quantum Gases. IV

   Hiroaki Hara and Hiroshi Ichimura

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