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Chinese Physics, 2007, Vol. 16(4): 897-900    DOI: 10.1088/1009-1963/16/4/004
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Exact solution to the one-dimensional Dirac equation of linear potential

Long Chao-Yun(龙超云)a)b) and Qin Shui -Jie(秦水介)b)
a Department of Physics, Guizhou University, Guiyang 550025, China;b Laboratory for Photoelectric Technology and Application, Guizhou University 550025, China
Abstract  In this paper the one-dimensional Dirac equation with linear potential has been solved by the method of canonical transformation. The bound-state wavefunctions and the corresponding energy spectrum have been obtained for all bound states.
Keywords:  Dirac equation      linear potential      exact solution  
Received:  05 April 2006      Revised:  07 August 2006      Accepted manuscript online: 
PACS:  03.65.Pm (Relativistic wave equations)  
  03.65.Ge (Solutions of wave equations: bound states)  
Fund: Project supported by the National Natural Science Foundation (Grant No 10347003, 50375031) and the Natural Science Foundation of Guizhou Province.

Cite this article: 

Long Chao-Yun(龙超云) and Qin Shui -Jie(秦水介) Exact solution to the one-dimensional Dirac equation of linear potential 2007 Chinese Physics 16 897

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