| 连带拉盖尔方程的推广 |
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| 引用本文： | 周青春. 连带拉盖尔方程的推广[J]. 中国石油大学学报(自然科学版), 1993, 0(1) |
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| 作者姓名： | 周青春 |
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| 作者单位： | 石油大学数理系 |
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| 摘 要： | 利用变换得到了连带拉盖尔方程的推广形式,可以直接用在类氢离子的径向波函数所满足的方程的本征值问题上,无需利用渐近解的形式对径向方程作进一步的变换.文中还讨论了其它一些量子力学问题.
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| 关 键 词： | 多项式 变换 波函数 类氢离子 谐振子 |
GENERALIZATION OF LAGUERRE' EQUATION |
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| Zhou Qingchun. GENERALIZATION OF LAGUERRE' EQUATION[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 1993, 0(1) |
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| Authors: | Zhou Qingchun |
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| Affiliation: | Dept. of Mathematics and Physics |
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| Abstract: | A generalized form of Laguerre equation is obtained by using a transform, which can be applied directly to the eigenvalue problem of an equation satisfied by the radial function of a hydrogen-like ion, and further transformation to get the asymptotic solution of the radial equation is avoided. Some other problems in quantum mechanics are also discussed. |
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| Keywords: | Polynomials: Transform: Wave functions: Hydrogen-like ions:Harmonic oscillators |
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