量子理想气体热力学性质的普遍性讨论

A General Demonstration for the Thermodynamic properties of a Quantum Ideal Gas

本文讨论由能谱关系为ε=αp~δ的粒子组成的n维理想气体的热力学性质,并引入广义积分Ⅰ(z,ξ;a),将非相对论性和极端相对论性的玻耳兹曼气体、费米气体和玻色气体的性质进行统一的论证分析。

This paper is concerned with the discussion about the thermodynamic properties of an n-dimensional ideal gas, whos single particle energy spectrum is given by ε=αp. And a unilized diseussion about the thermodynamic properties of nonrelativistic or extreme relativistic Boltzmann gas, Fermic gas and Bose gas can be made, by means of the generalized integral I(z,ξ;a).