Wigner function for the Dirac oscillator in spinor space

MA Kai; WANG Jian-Hua; YUAN Yi

doi:10.1088/1674-1137/35/1/003

Chinese Physics C> 2011, Vol. 35> Issue(1) : 11-15 DOI: 10.1088/1674-1137/35/1/003

Wigner function for the Dirac oscillator in spinor space

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Abstract：
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.

References

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MA Kai, WANG Jian-Hua and YUAN Yi. Wigner function for the Dirac oscillator in spinor space[J]. Chinese Physics C, 2011, 35(1): 11-15. doi: 10.1088/1674-1137/35/1/003

MA Kai, WANG Jian-Hua and YUAN Yi. Wigner function for the Dirac oscillator in spinor space[J]. Chinese Physics C, 2011, 35(1): 11-15. doi: 10.1088/1674-1137/35/1/003 shu

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Received: 2010-03-01
Revised: 2010-04-08

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沈阳化工大学材料科学与工程学院沈阳 110142

Wigner function for the Dirac oscillator in spinor space

Received Date: 2010-03-01
Accepted Date: 2010-04-08
Available Online: 2011-01-05

Abstract: 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.