| 二维各向同性变频率谐振子的超对称性及其不变量的超对称量子力学精确解 |
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| 引用本文： | 卫高峰,龙超云,刘旭阳,贺志,段晓勇.二维各向同性变频率谐振子的超对称性及其不变量的超对称量子力学精确解[J].原子与分子物理学报,2007,24(3):596-600. |
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| 作者姓名： | 卫高峰 龙超云 刘旭阳 贺志 段晓勇 |
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| 作者单位： | 1. 贵州省光电子技术及应用重点实验室,贵阳,550025
2. 贵州大学理学院物理系,贵阳,550025 |
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| 基金项目： | 国家自然科学基金;贵州省科研项目 |
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| 摘 要： | 采用超对称量子力学与不变量相结合的方法讨论了二维各向同性变频率谐振子,给出了二维各向同性变频率谐振子的不变量,采用超对称量子力学方法精确求解了不变量的本征值和本征函数,并且给出了当频率恒定时,二维常频率谐振子的本征值和本征函数的精确解.最后对不变量的超对称性进行了讨论.
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| 关 键 词： | 二维变频率谐振子 不变量 本征值 本征函数 超对称性 |
| 文章编号： | 1000-0364（2007）03-0596-05 |
| 收稿时间： | 2006/6/13 |
| 修稿时间： | 2006-06-13 |
Supersymmetry of two-dimensional isotropic harmonic oscillator with time-dependent frequency and suspermmetry quantum mechanics exact solution of the invariant for two-dimensional isotropic harmonic oscillator with time-dependent frequency |
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| WEI Gao-feng,LONG Chao-yun,LIU Xu-yang,HE Zhi,DUAN Xiao-yong.Supersymmetry of two-dimensional isotropic harmonic oscillator with time-dependent frequency and suspermmetry quantum mechanics exact solution of the invariant for two-dimensional isotropic harmonic oscillator with time-dependent frequency[J].Journal of Atomic and Molecular Physics,2007,24(3):596-600. |
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| Authors: | WEI Gao-feng LONG Chao-yun LIU Xu-yang HE Zhi DUAN Xiao-yong |
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| Affiliation: | Laboratory for Pbotoelectric Technology and Application, Guizbou University, Guiyang 550025, China; Department of Physics, Guizbou University, Guiyang 550025, China |
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| Abstract: | The method of supersymmetry and invariant are used to discuss the two-dimensional isotropic harmonic oscillator with time-dependent frequency.And its invariant is presented,obtaining an eigenfunction corresponding to eigenvalue of the invariant for two-dimensional isotropic harmonic oscillator with time-dependent frequency in terms of the method of supersymmetry quantum mechanics.The eigenvalue and corresponding eigenfunction for two-dimensional isotropic harmonic oscillator with invariable frequency are exactly solved.Finally,the supersymmetry of the invariant is discussed. |
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| Keywords: | two-dimensional isotropic harmonic oscillator with time-dependent frequency invariant eigenvalue eigenfunction supersymmetry |
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