n维理想玻色气体性质的普遍描述

GENERAL DISCUSSION ON THE PROPERTIES OF n-DIMENSIONAL IDEAL BOSE GAS

给出了在Ｔ＞Ｔｃ和Ｔ＜Ｔｃ情况下能谱为ε＝ａｐｓ的ｎ维简并理想玻色气体的内能、熵、状态方程和热容量的普遍表达式．指出存在两种类型的玻色－爱因斯坦凝聚．对ｎ／ｓ≤２的玻色气体热容量ＣＶ在Ｔｃ处是连续的．对ｎ／ｓ＞２的玻色气体在Ｔｃ处ＣＶ出现不连续跃变，这与通常三维非相对论理想玻色气体的凝聚不同．

General expressions of energy(U), pressure(p), entropy(S), Gibbs free energy(G) and heat capacity(C V) are given at temperatures T>T c and T<T c for n-dimensional ideal Bose gas which is degenerate and has the energy-momentum relation of ε=ap s. The curve of heat capacity vs temperature of the gas with n/s<2 is continuous at T=T c while that of the gas with n/s>2 is discontinuous and has a jump at T=T c. These are different kind of phase trasitions.