Zhejiang Daxue xuebao. Lixue ban (Mar 2011)

Wigner functions and Moyal equation in noncommutative space(非对易相空间中的Moyal方程和Wigner函数)

MAKai(马凯),
LIKang(李康),
WANGJian-hua(王剑华)

Affiliations

MAKai(马凯): 1. School of Physics Science and Technology, Xinjiang University, Wulumuqi 830046, China( 1.新疆大学物理学院，新疆　乌鲁木齐　830046)
LIKang(李康): 2. Department of Physics, Hangzhou Teachers University, Hangzhou 310036, China( 2.杭州师范大学物理系，浙江　杭州　310036)
WANGJian-hua(王剑华): 3. Department of Physics, Shanxi University of Technology, Hanzhong 723001, Shanxi Province, China( 3.陕西理工学院物理系，陕西　汉中　723001)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2011.02.009
Journal volume & issue: Vol. 38, no. 2
pp. 163 – 167

Abstract

首先介绍了对易空间中的Wigner函数和Moyal本征方程，然后从Moyal-Weyl乘法出发并利用Bopp变换，得到了非对易相空间中Wigner函数所服从的Moyal方程；最后以谐振子相干态为例，通过重新定义的升降算符得到了非对易相空间中谐振子相干态的Wigner函数.

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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