| 抛物线坐标系中的二维氢原子及其Runge—Lenz矢量 |
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| 引用本文： | 李元勋.抛物线坐标系中的二维氢原子及其Runge—Lenz矢量[J].大学物理,1997,16(4):5-7,4. |
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| 作者姓名： | 李元勋 |
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| 作者单位： | 湖南教育学院物理系 |
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| 摘 要： | 证明了二维氢在抛物线坐标系中的本征函数也是二维Ｒｕｎｇｅ－Ｌｅｎｚ矢量ｘ分量的本征函数，从而找到了二维氢原子在平面坐标系中的本征函数和在平面抛物线坐标系中的本征函数之间的变换矩阵。
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| 关 键 词： | 二维 氢原子 抛物线坐标系 R－L矢量 |
TWO-DIMENSIONAL HYDROGEN ATOM IN THE PARABOLIC COORDINATES AND ITS RUNGE-LENZ VECTOR |
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| Li Yuanxun.TWO-DIMENSIONAL HYDROGEN ATOM IN THE PARABOLIC COORDINATES AND ITS RUNGE-LENZ VECTOR[J].College Physics,1997,16(4):5-7,4. |
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| Authors: | Li Yuanxun |
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| Abstract: | The eigenvalue problem of two-dimensional H-atom is solved in the parabolic coordinates. It is shown that, the eigenfunctions in the parabolic coordinates are the eigenfunctions of its Runge-Lenz victor, the transformation matrix that transforms the eigenfunctions from the polar coordinates into the parabolic coordinates is rotation matrix, and the parabolic coordinates are the suitable for calculating Stark effect. |
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| Keywords: | two-dimensional hydrogen atom parabolic coordinates Runge-Lenz vetor |
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