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Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group
AIMS Mathematics ( IF 1.8 ) Pub Date : 2020-07-02 , DOI: 10.3934/math.2020362
I. A. Shilin , , Junesang Choi , Jae Won Lee , , ,

For two continual bases in the representation space, we obtain the matrix elements of the linear operator transforming the first basis into the second. These elements are expressed in terms of Coulomb wave functions. Computing the matrix elements of subrepresentations to some subgroups or their separate elements and using the connection between above bases, we evaluate some integrals involving Coulomb wave functions.

中文翻译:

涉及与三维适当的洛伦兹群相关的库仑函数的一些积分

对于表示空间中的两个连续基,我们获得将第一个基转换为第二个基的线性算子的矩阵元素。这些元素用库仑波函数表示。计算子表示形式到某些子组的矩阵元素或它们的单独元素,并使用上述基础之间的联系,我们评估一些涉及库仑波函数的积分。
更新日期:2020-07-20
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