摘要
推导出了能谱为ε=sumfromi=1ton(P_i^2/2m+(1/2~i)m_i^2r^2)的n维经典谐振子的态密度,由于处于n维简谐势阱中的粒子可以看作n维谐振子,进而求出了服从玻尔兹曼分布、费米分布、玻色分布的n维简谐势阱中的粒子的状态方程及各热力学函数。
We present the universal descriptions of chemistry potential internal energy, degenerate pressure of arbitrary dimensional ideal Fermi gas which has energy spectrum of ε= ap^s, compared with the thermodynamic quantities of the glacial arbitrary dimensional idea gases. A conclusion has been reached that when temperature approaches infinite, thermodynamic quantities of the weak degenerate Fermi gases under high temperature trend to that of glacial non-degenerate ideal gases.
出处
《唐山师范学院学报》
2005年第5期54-56,共3页
Journal of Tangshan Normal University
关键词
n维谐振子
量子态密度
半经典近似
热力学函数
ideal gas of n dimensions
weak degeneration
glacial non-degeneration
universal description