| 环形振子势的精确解 |
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| 引用本文： | 陈昌远,孙东升.环形振子势的精确解[J].光子学报,2001,30(1):104-107. |
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| 作者姓名： | 陈昌远 孙东升 |
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| 作者单位： | 盐城师范学院物理系，盐城 224002 |
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| 基金项目： | 江苏省教育厅自然科学基金 |
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| 摘 要： | 将环形振子势的Schrödinger方程在球坐标系中进行变量分离.然后求解了角向方程和径向方程,给出了精确的能谱方程.获得了用普遍的缔合Legendre多项式表示的归一化的角向波函数和用合流超几何函数表示的归一化的径向波函数.
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| 关 键 词： | 环形振子 精确解 Schrödinger方程 |
| 收稿时间： | 2000-04-28 |
| 修稿时间： | 2000年4月28日 |
EXACT SOLUTIONS OF A RING-SHAPED OSCILLATOR |
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| Chen Changyuan.EXACT SOLUTIONS OF A RING-SHAPED OSCILLATOR[J].Acta Photonica Sinica,2001,30(1):104-107. |
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| Authors: | Chen Changyuan |
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| Institution: | Department of Physics, Yancheng Teachers College, Yancheng 224002 |
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| Abstract: | The Schrödinger equation with a ring-shaped oscillator potential is solved by using the usual method of variable separation.The exact energy equation is obtained.The normalized angle wavefunctions expressed in terms of the universal associated-Legendre polynomials and the normalized radial wavefunctions expressed in terms of the confluent hypergeometric function are presented. |
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| Keywords: | Ring-shaped oscillator Exact solution Schrödinger equation |
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