Wigner function for the Dirac oscillator in spinor space

作     者：马凯 王剑华 袁毅 

作者机构：Xinjiang University Shaanxi University of Technology 

出 版 物：《Chinese Physics C》 (中国物理C（英文版）)

年 卷 期：2011年第35卷第1期

页      面：11-15页

核心收录：

学科分类：080904[工学-电磁场与微波技术] 0809[工学-电子科学与技术（可授工学、理学学位）] 08[工学] 

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) 

主　　题：Dirac oscillator Wigner function Dirac equation spinor space 

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.