一维无限深势阱中运动粒子的Wigner函数  

One - dimensional Infinite Potential Well of Particles Moving Wigner Function

作　　者：王强[1] 李彦辉[1] 

机构地区：[1]陕西理工学院,陕西汉中723001

出　　处：《安徽科技学院学报》2013年第4期49-53,共5页Journal of Anhui Science and Technology University

基　　金：国家自然科学基金资助项目(11147181);陕西省教育厅科学研究计划资助项目(12JK0960)

摘　　要：作为准概率分布的Wigner函数,它包含了量子态在整个相空间演化过程中的全部信息,具有十分重要的物理意义。本文先介绍了Wigner函数的定义和性质以及一般表达式,然后利用积分法给出了一维无限深方势阱的Wigner函数。最后,讨论了该函数的分布特性并且指出它是一个相空间的实函数。As Wigner quasi - probability distribution function, the Wigner function contains the entire information in the evolution of the quantum states in the phase space. The function also has great significance in physics. This paper introduces the definition and nature of the Wigner function, as well as the general expression. Then, it used the integral method given Wigner function of a one - dimensional infinitely deep square potential well. Fi- nally, we discuss the characteristics of the distribution of the function and point out that it is a real function of the phase space.

关 键 词：势阱 WIGNER函数 波函数 

分 类 号：O413.1[理学—理论物理]