中国物理B ›› 2003, Vol. 12 ›› Issue (10): 1054-1057.doi: 10.1088/1009-1963/12/10/302

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Bound states of the Klein－Gordon and Dirac equations for potential V(r)=Ar-2-Br-1

强稳朝   

  1. Faculty of Science, Xi'an University of Architecture and Technology, Xi'an 710055, China
  • 收稿日期:2003-01-24 修回日期:2003-06-16 出版日期:2003-10-16 发布日期:2003-10-20

Bound states of the Klein－Gordon and Dirac equations for potential $V(r)=Ar^{-2}-Br^{-1}$

Qiang Wen-Chao (强稳朝)   

  1. Faculty of Science, Xi'an University of Architecture and Technology, Xi'an 710055, China
  • Received:2003-01-24 Revised:2003-06-16 Online:2003-10-16 Published:2003-10-20

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摘要： The exact normalized bound-state wavefunctions and energy equations of Klein－Gordon and Dirac equations are given with equal scalar and vector potentials s(r)=v(r)=V(r)/2=(Ar-2-Br-1)/2.

Abstract: The exact normalized bound-state wavefunctions and energy equations of Klein－Gordon and Dirac equations are given with equal scalar and vector potentials $s(r)=v(r)=V(r)/2=(Ar^{-2}-Br^{-1})/2$.

Key words: Coulomb potential, inverse square potential, Klein－Gordon equation, Dirac equation, bound-state

中图分类号:  (Relativistic wave equations)

  • 03.65.Pm
03.65.Ge (Solutions of wave equations: bound states)