Wigner function for the Dirac oscillator in spinor space

The Wigner function for the Dirac oscillator in spinor space is studied in this paper. Firstly, since the Dirac equation is described as a matrix equation in phase space, it is necessary to define the Wigner function as a matrix function in spinor space. Secondly, the matrix form of the Wigner funct...

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Bibliographic Details
Published in:Chinese physics C 2011, Vol.35 (1), p.11-15
Main Author: 马凯 王剑华 袁毅
Format: Article
Language:English
Subjects:
Dirac方程
Wigner函数
函数空间
振荡器
旋量空间
狄拉克方程
矩阵方程
维格纳
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Summary:The Wigner function for the Dirac oscillator in spinor space is studied in this paper. Firstly, since the Dirac equation is described as a matrix equation in phase space, it is necessary to define the Wigner function as a matrix function in spinor space. Secondly, the matrix form of the Wigner function is proven to support the Dirac equation. Thirdly, by solving the Dirac equation, energy levels and the Wigner function for the Dirac oscillator in spinor space are obtained.
ISSN:1674-1137
0254-3052
2058-6132
DOI:10.1088/1674-1137/35/1/003