n维谐振子系统的状态函数——高温弱简并和经典情况下的比较与分析  

The Thermodynamical Function of Arbitrary Dimensional Harmonic System——Comparison Weak Degeneration of High Temperature with Classical

作　　者：赵彦杰[1] 秦刚[1] 

机构地区：[1]德州学院物理系,山东德州253023

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

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.

关 键 词：n维谐振子 量子态密度 半经典近似 热力学函数 

分 类 号：O414[理学—理论物理]