| Runge-Lenz矢量与升降算子 |
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| 引用本文： | 刘宇峰,曾谨言.Runge-Lenz矢量与升降算子[J].物理学报,1997,46(7):1267-1272. |
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| 作者姓名： | 刘宇峰 曾谨言 |
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| 作者单位： | 北京大学物理系 |
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| 摘 要： | 分析表明，对于二维氢原子和各向同性谐振子，从径向Schr?dinger方程的因式分解导出的升降算子与Runge-Lenz矢量等价．这表明径向方程能够因式分解，与经典粒子轨道的闭合性及体系的动力学对称性密切相关
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| 关 键 词： | R－L矢量 升降算子 量子论 二维氢原子 |
| 收稿时间： | 1996-12-05 |
RUNGE-LENZ VECTOR AND RAISING AND LOWERING OPERATORS |
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| LIU YU-FENG and ZENG JIN-YAN.RUNGE-LENZ VECTOR AND RAISING AND LOWERING OPERATORS[J].Acta Physica Sinica,1997,46(7):1267-1272. |
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| Authors: | LIU YU-FENG and ZENG JIN-YAN |
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| Abstract: | It is shown that the raising and lowering operators derived from the factorization of the radial Schrdinger equation for the two-dimensional hydrogen atom and the isotropic oscillator are equivalent to the Runge-Lenz vector. This implies that the factorizability of the radial Schr?dinger equation is intimately connected with the closeness of classical orbits and the dynamical symmetry.
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