| 环形Hartmann势的Schr(o)dinger方程束缚态的精确解 |
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| 引用本文： | 陈子栋.环形Hartmann势的Schr(o)dinger方程束缚态的精确解[J].西南师范大学学报(自然科学版),2005,30(4):657-661. |
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| 作者姓名： | 陈子栋 |
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| 作者单位： | 绍兴文理学院,物理系,浙江,绍兴,312000 |
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| 摘 要： | 将环形Hartmann势的Schrodinger方程在球坐标系中进行变量分离，然后求解角向方程和径向方程，得出了精确的能谱方程，获得了归-化的角向和径向波函数，并给出了Hartmann势的径向矩阵元和径向平均值的通项表示式。
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| 关 键 词： | Hartmann势 Schrodinger方程 能谱方程 归-化波函数 径向矩阵元 |
| 文章编号： | 1000-5471（2005）04-0657-05 |
| 收稿时间： | 2004-09-22 |
| 修稿时间： | 2004年9月22日 |
Exact Solutions of Bound States of the Schr(o)dinger Equation with the Ring-Shaped Hartmann Potential |
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| CHEN ZI-DONG.Exact Solutions of Bound States of the Schr(o)dinger Equation with the Ring-Shaped Hartmann Potential[J].Journal of Southwest China Normal University(Natural Science),2005,30(4):657-661. |
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| Authors: | CHEN ZI-DONG |
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| Abstract: | The Schrodinger equation with the ring-shaped Hartmann potential is solved by using the usual method of variable separation in spherical polar coordinates. The exact energy equation is obtained by then solved angle equation and radial equation. The normalized angle wavefunction and radial wavefunction are presented. The general calculation formulas for radial matrix elements and radial average values of the Hartmann potential are obtained. |
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| Keywords: | Hartmann potential Schrodinger equation energy equation normalized wavefunction radial matrix elements |
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