Progress of Theoretical Physics Supplement
Analytic Properties of the One- and Two-Particle Distribution Functions of Bose Fluids
Hiroaki Hara, Tohru Morita
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 ≫λTT and r ≪λT, 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/Rc, λT/Rc and unity.