| 广义振子势的精确束缚态解 |
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| 引用本文： | 陈刚,袁奇英. 广义振子势的精确束缚态解[J]. 原子与分子物理学报, 2004, 21(1): 143-148 |
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| 作者姓名： | 陈刚 袁奇英 |
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| 作者单位： | 绍兴文理学院物理系,绍兴,312000 |
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| 摘 要： | 本文求解了广义振子势在r,θ,φ方向上的Schrǒdinger方程,得到了它的能级和相应的归一化角向、径向波函数.利用广义拉盖尔多项式的积分公式得到了广义振子势的径向矩阵元的通向表达式.
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| 关 键 词： | 广义振子势 Schrǒdinger方程 束缚态 精确解 径向矩阵元 |
| 收稿时间： | 2003-06-23 |
Accurate bound state solutions of generalized oscillatory potential |
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| CHEN Gang,YUAN Qi-ying. Accurate bound state solutions of generalized oscillatory potential[J]. Journal of Atomic and Molecular Physics, 2004, 21(1): 143-148 |
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| Authors: | CHEN Gang YUAN Qi-ying |
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| Abstract: | The bound state solutions of Schrǒdinger equation in r,θ,φ dimensions for generalized oscillatory potential are solved exactly, its energy levels and corresponding normalized angular and radial wave functions are obtained. By using the integral formula of generalized Lagurre polynomials, the arbitrary radial matrix elements of this potential are derived. |
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| Keywords: | Generalized oscillatory potential Schrǒdinger equation Bound state Accurate solution Radial matrix element |
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