Wigner function for the Dirac oscillator in spinor space  

作　　者：马凯 王剑华 袁毅 

机构地区：[1]Xinjiang University [2]Shaanxi University of Technology

出　　处：《Chinese Physics C》2011年第1期11-15,共5页中国物理C（英文版）

基　　金：Supported by National Natural Science Foundation of China (10875053,10447005);Open Topic of State Key Laboratory for Superlattices and Microstructures (CHJG200902);Scientific Research Project in Shaanxi Province (2009K01-54)

摘　　要：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.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.

关 键 词：Dirac oscillator Wigner function Dirac equation spinor space 

分 类 号：TN752[电子电信—电路与系统]