中国物理B ›› 2004, Vol. 13 ›› Issue (3): 279-282.doi: 10.1088/1009-1963/13/3/002

• GENERAL • 上一篇    下一篇

Bound states of the Klein－Gordon and Dirac equation for scalar and vector pseudoharmonic oscillator potentials

陈刚, 陈子栋, 楼智美   

  1. Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China
  • 收稿日期:2002-11-11 修回日期:2003-03-31 出版日期:2005-07-06 发布日期:2005-07-06
  • 基金资助:
    Project supported by the Education Department of Zhejiang Province, China (Grant No 20031116).

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)   

  1. Department of Physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China
  • Received:2002-11-11 Revised:2003-03-31 Online:2005-07-06 Published:2005-07-06
  • Supported by:
    Project supported by the Education Department of Zhejiang Province, China (Grant No 20031116).

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摘要： 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.

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.

Key words: pseudoharmonic oscillator potential, Klein－Gordon equation, Dirac equation, bound state, supersymmetric quantum mechanics, shape invariance

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
03.65.Pm (Relativistic wave equations)