Theory of Degenerate and Non-Degenerate Bose Fluids and Calculation of the Pair Distribution Function

概要

論文の詳細を見る
Recently the present author developed a diagram formalism applicable to the degenerate Bose fluids. The present author and Hara applied the formalism to show that the long distance 1 / γ and 1 / γ^2 behaviors of the pair distribution function are exactly cancelled for interacting Bose fluids. The basic ideas of the formalism have been given in separate articles. It is the purpose of the present article to present the formalism in a unified form. The formalism is developed in the canonical ensemble. However the generating function is used. Hence a criterion of the equivalence of the canonical and grand canonical ensembles is given and used in the discussions. Replacement of operators a_ο and a^*_ο by a c-number n^<1 / 2>_ο is performed with the same degree of care as Kromminga and Bolsteri took in treating the zero-temperature problem. Hugenholtz and Pines's relation is generalized to finite temperatures. The cancellation of the long-distance 1 / γ and 1 / γ^2 behaviors at and below the λ temperature is briefly discussed. For some of details, readers are requested to read the preceding articles.
理論物理学刊行会の論文
1969-12-20