Wigner functions and Moyal equation in noncommutative space

Firstly this paper makes a brief review of the Moyal equation and Wigner Functions in commutative space. Then, the Moyal equation which the Wigner Functions support is introduced in Non-communacative phase space. Finally, by redefining the raising and lowering operator, Wigner functions for the cohe...

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Bibliographic Details
Published in:Zhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 38; no. 2; pp. 163 - 167
Main Authors: Ma, Kai, Li, Kang, Wang, Jian-Hua
Format: Journal Article
Language:Chinese
Published: Zhejiang University Press 01.04.2011
Subjects:
Coherence
Harmonic oscillators
Mathematical analysis
moyal方程
Operators
Two dimensional
wigner函数
星乘
谐振子相干态
非对易相空间
ISSN:1008-9497
Online Access:Get full text
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Summary:Firstly this paper makes a brief review of the Moyal equation and Wigner Functions in commutative space. Then, the Moyal equation which the Wigner Functions support is introduced in Non-communacative phase space. Finally, by redefining the raising and lowering operator, Wigner functions for the coherent state of two-dimensional Harmonic oscillators are obtained.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:1008-9497
DOI:10.3785/j.issn.1008-9497.2011.02.009