| The relativistic bound states for a new ring-shaped harmonic oscillator |
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| 引用本文： | 周 燕,郭建友. The relativistic bound states for a new ring-shaped harmonic oscillator[J]. 中国物理 B, 2008, 17(2): 380-384 |
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| 作者姓名： | 周 燕 郭建友 |
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| 作者单位： | Department of Physics, Anhui Radio and TelevisionUniversity, Hefei 230022, China;School of Physics and Material Science, AnhuiUniversity, Hefei 230039,China |
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| 基金项目： | Project supported by the NationalNatural Science Foundation of China (Grant Nos 10475001 and10675001), the Program for New Century Excellent Talents inUniversity of China (Grant No NCET-05-0558), the Program forExcellent Talents in Anhui Province University, and the EducationCommittee 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.
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| 关 键 词： | 新型环形谐波振荡器 界态 狄拉克方程 物理研究 |
| 收稿时间： | 2007-01-29 |
| 修稿时间： | 2007-04-28 |
The relativistic bound states for a new ring-shaped harmonic oscillator |
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| Zhou Yan and Guo Jian-You. The relativistic bound states for a new ring-shaped harmonic oscillator[J]. Chinese Physics B, 2008, 17(2): 380-384 |
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| Authors: | Zhou Yan and Guo Jian-You |
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| Affiliation: | Department of Physics, Anhui Radio and TelevisionUniversity, Hefei 230022, China; School of Physics and Material Science, AnhuiUniversity, Hefei 230039,China |
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| Abstract: | In this paper a new ring-shaped harmonic oscillator for spin 1/2particles is studied, and the corresponding eigenfunctions andeigenenergies are obtained by solving the Dirac equation with equalmixture of vector and scalar potentials. Several particular casessuch as the ring-shaped non-spherical harmonic oscillator, thering-shaped harmonic oscillator, non-spherical harmonic oscillator,and spherical harmonic oscillator are also discussed. |
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| Keywords: | new ring-shaped harmonicoscillator bound state Dirac equation |
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