非对易相空间下电场中二维带电谐振子的Wigner函数  

Wigner Function of Two-Dimensional Charged Harmonic Oscillator in Non-Commutative Phase Space

作　　者：车宇[1] 李康[1] 

机构地区：[1]杭州师范大学理学院,浙江杭州310036

出　　处：《杭州师范大学学报（自然科学版）》2010年第1期43-47,共5页Journal of Hangzhou Normal University(Natural Science Edition)

基　　金：国家自然科学基金(10575026;10875035);浙江省自然科学基金(Y607437)

摘　　要：量子谐振子是许多复杂模型的基础,它的Wigner函数积分后能写成简单的形式,可用来讨论许多实际问题.文章主要把谐振子模型放在了非对易相空间,在有外加电场的情况下,研究二维带电谐振子在电场中的Wigner函数.从结果可以看出,当非对易参数取0时,二维带电谐振子的Wigner函数与对易空间具有相同形式.The quantum harmonic oscillator is a basic model for many complex ones. After integration, the Wigner function of quantum harmonic oscillator can be expressed by a simple form, which can be used to solve many related problems. This paper has placed the harmonic oscillator in non-commutative phase space, and studied the Wigner function of two-dimensional charged harmonic oscillator in electric field. The results show that when the non-commutative parameter is zero, the Wigner function of two-dimensional charged harmonic oscillator is equivalent to its form in commutative space.

关 键 词：非对易 WIGNER函数 带电谐振子 

分 类 号：O413.1[理学—理论物理]