中国物理B ›› 2004, Vol. 13 ›› Issue (5): 571-574.doi: 10.1088/1009-1963/13/5/001

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Bound states of the Klein－Gordon and Dirac equations for potential V0tanh2(r/d)

强稳朝   

  1. Faculty of Science, Xi'an University of Architecture and Technology, Xi'an 710055, China
  • 收稿日期:2003-08-18 修回日期:2003-09-24 出版日期:2004-05-06 发布日期:2005-07-06

Bound states of the Klein－Gordon and Dirac equations for potential V0tanh2(r/d)

Qiang Wen-Chao (强稳朝)   

  1. Faculty of Science, Xi'an University of Architecture and Technology, Xi'an 710055, China
  • Received:2003-08-18 Revised:2003-09-24 Online:2004-05-06 Published:2005-07-06

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摘要： The exact bound state wavefunctions and energy equations of Klein－Gordon and Dirac equations are given with equal scalar and vector potential s(r)=v(r)=V(r)/2=V_0tanh^2(r/d). The relation between the energy equation and that of relativistic harmonic is discussed.

关键词: V_0tanh^2(r/d) potential, Klein－Gordon equation, Dirac equation, bound state

Abstract: The exact bound state wavefunctions and energy equations of Klein－Gordon and Dirac equations are given with equal scalar and vector potential $s(r)=v(r)=V(r)/2=V_0\tanh^2(r/d)$. The relation between the energy equation and that of relativistic harmonic is discussed.

Key words: $V_0\tanh^2(r/d)$ potential, Klein－Gordon equation, Dirac equation, bound state

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

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