论文标题

CLEBSCH-GORDAN系数的总规则来自组理论和Runge-Lenz-Pauli矢量

Sum rules for Clebsch-Gordan coefficients from group theory and Runge-Lenz-Pauli vector

论文作者

Pain, Jean-Christophe

论文摘要

我们在SO(4)氢原子的群体理论描述的框架中介绍了Clebsch-Gordan系数的总和。主要的结果是使用runge-lenz-pauli载体的属性获得的,尤其是在球形和抛物线基础上表达其最后一个成分幂的矩阵元素。概述了具有鲜明效应和氢原子的直流电的连接。

We present sum rules for Clebsch-Gordan coefficients in the framework of SO(4) group-theoretical description of the hydrogen atom. The main results are obtained using properties of the Runge-Lenz- Pauli vector, in particular expressing the matrix elements of the powers of its last component both in spherical and parabolic basis. Connections with Stark effect and diamagnetism of the hydrogen atom are outlined.

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