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Chinese Physics, 2004, Vol. 13(3): 279-282    DOI: 10.1088/1009-1963/13/3/002
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Bound states of the Klein-Gordon and Dirac equation for scalar and vector pseudoharmonic oscillator potentials

Chen Gang (陈刚), Chen Zi-Dong (陈子栋), Lou Zhi-Mei (楼智美)
Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China
Abstract  The exact bound state solutions of the Klein-Gordon equation and Dirac equation with scalar and vector pseudoharmonic oscillator potentials are obtained in this paper. Furthermore, we have used the supersymmetric quantum mechanics, shape invariance and alternative method to obtain the required results.
Keywords:  pseudoharmonic oscillator potential      Klein-Gordon equation      Dirac equation      bound state      supersymmetric quantum mechanics      shape invariance  
Received:  11 November 2002      Revised:  31 March 2003      Accepted manuscript online: 
PACS:  03.65.Ge (Solutions of wave equations: bound states)  
  03.65.Pm (Relativistic wave equations)  
Fund: Project supported by the Education Department of Zhejiang Province, China (Grant No 20031116).

Cite this article: 

Chen Gang (陈刚), Chen Zi-Dong (陈子栋), Lou Zhi-Mei (楼智美) Bound states of the Klein-Gordon and Dirac equation for scalar and vector pseudoharmonic oscillator potentials 2004 Chinese Physics 13 279

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