| 在点正则变换下D维谐振子势映射至N维氢原子势 |
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| 引用本文： | 杨进,朱世德.在点正则变换下D维谐振子势映射至N维氢原子势[J].成都信息工程学院学报,2003,18(1):76-78. |
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| 作者姓名： | 杨进 朱世德 |
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| 作者单位： | 成都信息工程学院光电技术系,四川,成都,610041 |
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| 摘 要： | 利用在点正则变换下形状不变势的映射方法，给出了D维谐振子势与N维氢原子势的能级和径向波函数之间的关系。
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| 关 键 词： | D维谐振子势 N维氢原子势 点正则变换 形状不变势 映射方法 能级 径向波函数 |
Mapping of an D-dimensional harmonic oscillator into an N-dimensional hydrogen atom under point canonical transformation |
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| Abstract.Mapping of an D-dimensional harmonic oscillator into an N-dimensional hydrogen atom under point canonical transformation[J].Journal of Chengdu University of Information Technology,2003,18(1):76-78. |
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| Authors: | Abstract |
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| Abstract: | By use of the mapping of shape invariant potentials under the point canonical transformations the connections between the radial wave-functions and energy levels of the N-dimensional hydrogen atom and the D-dimensional harmonic oscillator are given. It is shown that an N-dimensional Schrdinger equation involving a particular central potential may be related to seemingly unrelated Schrdinger equations involving other central potentials and spaces of different dimensions. |
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| Keywords: | shape invariant potential point canonical transformation hydrogen atom potential harmonic oscillator potential |
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