氢矩阵元素间某些关系的另一种证明

Journal of Physics B Pub Date : 1990-04-14 DOI:10.1088/0953-4075/23/7/005

R. A. Swainson, G. Drake

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引用次数: 14

摘要

得到了两个拉盖尔多项式乘积的某些积分之间的关系。它显示了这个关系，连同两个已知的汉克尔变换，如何允许氢离子的rk矩阵元素之间的一些关系的另一种推导。进一步的关系，涉及到对数函数的矩阵元素，以类似的方式得到。

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An alternative proof of some relations between hydrogenic matrix elements

A relationship between certain integrals of the product of two Laguerre polynomials is obtained. It is shown how this relationship, together with two known Hankel transforms, allows for an alternative derivation of some relations between matrix elements of rk for hydrogenic ions. A further relation, involving matrix elements of logarithmic functions, is obtained in a similar manner.

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来源期刊

Journal of Physics B

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