基于准经典近似研究幂函数势阱中理想气体的热力学性质（英文）  

THERMODYNAMIC PROPERTIES OF IDEAL GASES IN POWER-LAW POTENTIAL WITH QUASI-CLASSICAL APPROXIMATION

作　　者：李玉山[1] 

机构地区：[1]菏泽学院物理系,山东菏泽274015

出　　处：《低温物理学报》2014年第4期310-314,共5页Low Temperature Physical Letters

基　　金：Projected Supported by the Science and Technology Research Program for Colleges and Universities of Shandong Province,China(Grant No.J11LA52)~~

摘　　要：基于准经典近似方法,从理论上研究了幂函数势阱中理想气体的热力学性质.得到了各热力学量的表达式,分析了幂函数势阱对系统热力学性质的影响.结果显示,玻色气体的热力学行为与外加势阱的类型密切相关,费米气体在低温极限时的行为并没有显著改变.最后,简单讨论了系统的密度分布和动量分布.Thermodynamic properties of ideal gases in a power-law potential are investigated theoretically based on quasi-classical approximation, in which the energy spectrum is treated as a continuum. We present the analytical expressions of thermodynamics, and then discuss the effects of power-law potential. It is clearly shown that thermodynamic quantities of Bose gases vary markedly with the shape of external potential, while trapping potentials do not significantly modify behgviors of Fermi gases at the low temperature limit. Both the density profile and velocity distribution are also discussed.

关 键 词：理想气体 幂函数势阱 准经典近似 

分 类 号：O414.1[理学—理论物理]