Wigner Coefficients for the R4 Group and Some Applications
Wigner Coefficients for the R4 Group and Some Applications
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R4 群的维格纳系数和一些应用
DOI：
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发表时间：
1961
期刊：
影响因子：
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通讯作者：
L. Biedenharn
中科院分区：
文献类型：
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作者：
L. Biedenharn
利用R4群与群R3×R3的局部同构，得到子群R3为对角群的表示的R4维格纳系数。然后使用如此定义的R4维格纳系数来获得表示系数的递归关系和微分方程，当组被适当地参数化时。R4球谐函数及其性质是一般公式的特殊化。简单讨论了库仑场几何化问题的物理应用。
The local isomorphism of the R4 group to the group R3×R3 is utilized to obtain R4 Wigner coefficients for those representations in which the subgroup R3 is diagonal. The R4 Wigner coefficients so defined are then used to obtain recursion relations and differential equations for the representation coefficients, when the group is parametrized appropriately. The R4 spherical harmonics, and their properties, are explicitly obtained as specializations of the general formulas. Physical application to the problem of geometrizing the Coulomb field is briefly discussed.