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引入Wigner函数,Weyl对应和Wigner算符相干态表象的新途径
引用本文:徐兴磊,李洪奇,范洪义. 引入Wigner函数,Weyl对应和Wigner算符相干态表象的新途径[J]. 量子光学学报, 2010, 16(2)
作者姓名:徐兴磊  李洪奇  范洪义
作者单位:1. 菏泽学院,物理系,山东,菏泽,274015
2. 菏泽学院,物理系,山东,菏泽,274015;中国科技大学,材料科学与工程系,安徽,合肥,230026
基金项目:山东省自然科学基金,菏泽学院自然科学基金,山东省高等学校实验技术资助课题 
摘    要:用坐标、动量完备性的正规乘积内积分形式直接地引入了Wigner函数和Wigner算符的相干态表象,简洁地阐述了它与Weyl对应的关系。

关 键 词:正规乘积内积分  Wigner算符  Wigner函数  Weyl对应

New Approach for Introducing Wigner Function,Weyl Correspondence and the Coherent State Representation of Wigner Operator
XU Xing-lei,LI Hong-qi,FAN Hong-yi. New Approach for Introducing Wigner Function,Weyl Correspondence and the Coherent State Representation of Wigner Operator[J]. Acta Sinica Quantum Optica, 2010, 16(2)
Authors:XU Xing-lei  LI Hong-qi  FAN Hong-yi
Affiliation:XU Xing-lei1,LI Hong-qi1,FAN Hong-yi1,2(1.Department of Physics,Heze University,Heze,Shandong 274015,China,2.Department of Material Science and Engineering,University of Science and Technology of China,Hefei,Anhui 230026,China)
Abstract:By using the normal ordering form of the coordinate,momentum completeness,we directly and concisely introduce the Wigner operator and then illustrate its relation with the Weyl correspondence.The coherent state representation of the Wigner operator is also neatly derived.
Keywords:integration within an ordered product(IWOP)  Wigner operator  Wigner function  Weyl correspondence  
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