n维简谐势阱中粒子的态密度  

The Density of States of Particles in a Harmonic Potential in Any Dimensional Space

作　　者：陈丽璇[1] 严子浚[1] 李明哲[1] 陈传鸿[1] 

机构地区：[1]厦门大学物理学系

出　　处：《厦门大学学报（自然科学版）》1998年第6期848-852,共5页Journal of Xiamen University：Natural Science

基　　金：福建省自然科学基金

摘　　要：应用半经典近似法计算任意维数非相对论性理想体系处于简谐外势中的量子态密度，得出解析的表达式，并进行讨论．揭示了简谐外势对系统性质的影响．特别是对于二维系统，使之从准长程序转变为长程序，对于一维系统。By Using the semi classical approximation, the density of quantum states of the nonrelativistic ideal system in a harmonic potential is calculated, and the analytical results are derived for any dimensional systems. The effects of harmonic potential on the properties of such systems are expounded. It is shown that the effect of harmonic potential on the low dimensional system is quite evident, which makes the two dimensional system from quasi long range order to long range order and the one dimensional system from disorder to quasi long range order.

关 键 词：量子态密度 空间维数 简谐势阱 粒子 非相对论性 

分 类 号：O414.2[理学—理论物理]