Prog. Theor. Phys. Vol. 39 No. 4 (1968) pp. 907-928

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Cluster Expansion for Quantum Gases. III

— Pair Distribution Function of Degenerate Bose System —

Hiroaki Hara, Hiroshi Ichimura^* and Tohru Morita

Department of Applied Science, Faculty of Engineering, Tohoku University, Sendai
^*Physics Department, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo

(Received December 16, 1967)

Abstract:

The pair distribution function of a hard-sphere Bose gas is evaluated using a modified cluster expansion formula developed in the preceding papers of this series [H. Ichimura, Prog. Theor. Phys. 31 (1964), 538; ibid. 37 (1967), 484]. The contributions for the pair distribution function are expressed in terms of diagrams, and a partial summation of the chain-type diagrams is carried out. The temperature dependence of the resultant expression is investigated for low temperatures, at short and long distances. The result is compared with the expression for the pair distribution function which has been obtained for a weakly interacting Bose gas. The two- and three-particle distribution functions for a degenerate ideal Bose system are derived.

URL : http://ptp.ipap.jp/link?PTP/39/907/
DOI : 10.1143/PTP.39.907

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Citing Article(s) :

Progress of Theoretical Physics Vol. 41 No. 1 (1969) pp. 60-87 :
Long-Distance Behaviors of the Pair Distribution Function of Degenerate and Non-Degenerate Bose Fluids

Tohru Morita and Hiroaki Hara
Progress of Theoretical Physics Vol. 43 No. 3 (1970) pp. 647-659 :
Behavior of Reduced Density Matrices of the Ideal Fermi Gas

Hiroaki Hara
Progress of Theoretical Physics Vol. 45 No. 5 (1971) pp. 1437-1457 :
Long-Distance Behavior of the Pair Distribution Fnction of Hard-Sphere Fermi Gases

Hiroaki Hara and Tohru Morita
Progress of Theoretical Physics Vol. 45 No. 6 (1971) pp. 2002-2003 :
Condensation in the Hard-Sphere Bose Gas

Hiroaki Hara and Hiroshi Ichimura
Progress of Theoretical Physics Vol. 56 No. 2 (1976) pp. 450-463 :
A Note on the Modified Cluster Expansion for Quantum System

Hiroaki Hara