中国物理B ›› 2008, Vol. 17 ›› Issue (2): 380-384.doi: 10.1088/1674-1056/17/2/004

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The relativistic bound states for a new ring-shaped harmonic oscillator

周 燕1, 郭建友2   

  1. (1)Department of Physics, Anhui Radio and Television University, Hefei 230022, China; (2)School of Physics and Material Science, Anhui University, Hefei 230039,China
  • 收稿日期:2007-01-29 修回日期:2007-04-28 出版日期:2008-02-20 发布日期:2008-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10475001 and 10675001), the Program for New Century Excellent Talents in University of China (Grant No NCET-05-0558), the Program for Excellent Talents in Anhui Province University, and the Education Committee Foundation of Anhui Province (Grant No 2006KJ259B).} \\\hs*{.8mm}$^\dag$Corresponding author.

The relativistic bound states for a new ring-shaped harmonic oscillator

Zhou Yan(周燕)b) and Guo Jian-You(郭建友)a)†   

  1. a School of Physics and Material Science, Anhui University, Hefei 230039, China; b Department of Physics, Anhui Radio and Television University, Hefei 230022, China
  • Received:2007-01-29 Revised:2007-04-28 Online:2008-02-20 Published:2008-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10475001 and 10675001), the Program for New Century Excellent Talents in University of China (Grant No NCET-05-0558), the Program for Excellent Talents in Anhui Province University, and the Education Committee Foundation of Anhui Province (Grant No 2006KJ259B).} \\\hs*{.8mm}$^\dag$Corresponding author.

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摘要： In this paper a new ring-shaped harmonic oscillator for spin 1/2 particles is studied, and the corresponding eigenfunctions and eigenenergies are obtained by solving the Dirac equation with equal mixture of vector and scalar potentials. Several particular cases such as the ring-shaped non-spherical harmonic oscillator, the ring-shaped harmonic oscillator, non-spherical harmonic oscillator, and spherical harmonic oscillator are also discussed.

关键词: new ring-shaped harmonic oscillator, bound state, Dirac equation

Abstract: In this paper a new ring-shaped harmonic oscillator for spin 1/2 particles is studied, and the corresponding eigenfunctions and eigenenergies are obtained by solving the Dirac equation with equal mixture of vector and scalar potentials. Several particular cases such as the ring-shaped non-spherical harmonic oscillator, the ring-shaped harmonic oscillator, non-spherical harmonic oscillator, and spherical harmonic oscillator are also discussed.

Key words: new ring-shaped harmonic oscillator, bound state, Dirac equation

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

  • 03.65.Ge
03.65.Pm (Relativistic wave equations) 02.10.Ud (Linear algebra) 03.65.Fd (Algebraic methods)