关键词: 
一维无限深势阱 /
相空间 /
Wigner函数 /
微扰 /
一维线性谐振子

摘要: 首先介绍了Wigner函数的基本性质以及以Wigner函数为基础的相空间定态微扰理论，然后将其应用到一维无限深势阱和谐振子。 推导出一维无限深势阱所对应的Wigner函数，而且发现了存在于其纯态Wigner函数中奇特的压缩效应， 并利用不确定性关系给予了解释。同时计算出一维无限深势阱和谐振子在微扰的作用下，相应Wigner函数和能级的修正。 In this article， the qualities of Wigner function and the corresponding stationary perturbation theory are introduced and applied to one dimensional infinite potential well and onedimensional harmonic oscillator， and then the particular Wigner function of onedimensional infinite potential well is specified and a special constriction effect in its pure state Wigner function is discovered， to which， simultaneously， a detailed and reasonable explanation is elaborated from the perspective of uncertainty principle. Ultimately， the amendment of Wigner function and energy of onedimensional infinite potential well and one dimensional harmonic oscillator under perturbation are calculated according to stationary phase space perturbation theory.