Wigner function for the Dirac oscillator in spinor space

• Published in: Chinese physics C Vol. 35; no. 1; pp. 11 - 15
• Main Author: 马凯 王剑华 袁毅
• Format: Journal Article
• Language: English
• Published: IOP Publishing 2011; Shaanxi University of Technology,Hanzhong 723001,China%Shaanxi University of Technology,Hanzhong 723001,China; Xinjiang University,Urumqi 830046,China
• 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; Dirac oscillator; Wigner function; spinor space; Dirac equation
• ISSN: 1674-1137; 0254-3052; 2058-6132
• DOI: 10.1088/1674-1137/35/1/003

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.