中国物理B ›› 2005, Vol. 14 ›› Issue (1): 42-44.doi: 10.1088/1009-1963/14/1/009

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Bound states of Klein-Gordon equation and Dirac equation for ring-shaped non-spherical oscillator scalar and vector potentials

张学骜1, 陈柯1, 段正路2   

  1. (1)College of Aerospace and Materials Engineering, National University of Defence Technology, Changsha  410073, China; (2)Department of Physics, Tsinghua University, Beijing 100084, China
  • 收稿日期:2004-04-07 修回日期:2004-05-15 出版日期:2005-01-20 发布日期:2005-01-20

Bound states of Klein-Gordon equation and Dirac equation for ring-shaped non-spherical oscillator scalar and vector potentials

Zhang Xue-Ao (张学骜)a, Chen Ke (陈柯)a, Duan Zheng-Lu (段正路)b   

  1. a College of Aerospace and Materials Engineering, National University of Defence Technology, Changsha 410073, China; b Department of Physics, Tsinghua University, Beijing 100084, China
  • Received:2004-04-07 Revised:2004-05-15 Online:2005-01-20 Published:2005-01-20

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摘要： Solving the Klein--Gordon equation and Dirac equation with ring-shaped non-spherical oscillator gives the exact bound state wavefunction and energy equation,and the relations between non-relativistic Schr\"{o}dinger equation,Klein--Gordon equation and Dirac equation with equal scalar and vector potentials.

关键词: ring-shaped non-spherical oscillator, Klein--Gordon equation, Dirac equation, bound state

Abstract: Solving the Klein--Gordon equation and Dirac equation with ring-shaped non-spherical oscillator gives the exact bound state wavefunction and energy equation, and the relations between non-relativistic Schr?dinger equation, Klein--Gordon equation and Dirac equation with equal scalar and vector potentials.

Key words: ring-shaped non-spherical oscillator, Klein--Gordon equation, Dirac equation, bound state

中图分类号: 

  • 0365G