| 几个量子力学问题的统一解法 |
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| 引用本文： | 周青春,王齐放.几个量子力学问题的统一解法[J].大学物理,2003,22(9):12-13,41. |
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| 作者姓名： | 周青春 王齐放 |
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| 作者单位： | 华东船舶工业学院,数理系,江苏,镇江,212003 |
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| 摘 要： | 通过变换求得连带Laguerre方程的变通形式，它包括了量子力学中-维谐振子、三维谐振子和类氢离子所满足的径向薛定谔方程，因此可用统一的方法对这三个问题的能级和波函数求解。
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| 关 键 词： | Laguerre多项式 谐振子 氢离子 |
| 文章编号： | 1000-0712(2003)09-0012-02 |
Unified solution to several problems in quantum mechanics |
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| ZHOU Qing-chun,WANG Qi-fang.Unified solution to several problems in quantum mechanics[J].College Physics,2003,22(9):12-13,41. |
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| Authors: | ZHOU Qing-chun WANG Qi-fang |
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| Abstract: | By using a transform,a general form of Laguerre equation is obtained, which can be applied directly to the eigenvalue problems of the hydrogen-like ion,one-and three-dimensional simple harmonic oscillators.Results obtained are consistent with those by conventional methods. |
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| Keywords: | Laguerre polynomials harmonic oscillator hydrogen-like ion |
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