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连带拉盖尔方程的推广
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)
作者姓名:周青春
作者单位:石油大学数理系
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.

关 键 词:多项式  变换  波函数  类氢离子  谐振子

GENERALIZATION OF LAGUERRE' EQUATION
Zhou Qingchun. GENERALIZATION OF LAGUERRE' EQUATION[J]. Journal of China University of Petroleum (Edition of Natural Sciences), 1993, 0(1)
Authors:Zhou Qingchun
Affiliation:Dept. of Mathematics and Physics
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.
Keywords:Polynomials: Transform: Wave functions: Hydrogen-like ions:Harmonic oscillators  
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