Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group

Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group

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 sepa...

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Bibliographic Details
Main Authors: I. A. Shilin, Junesang Choi, Jae Won Lee
Format: Article
Language:English
Published: AIMS Press 2020-07-01
Series:AIMS Mathematics
Subjects:
coulomb functions
bessel-clifford functions
the first and the second bessel-clifford integral transforms
bessel-macdonald integral transform
appell function f1
whittaker function
proper lorenz group
bases transformations
matrix elements of representation
Online Access:https://www.aimspress.com/article/10.3934/math.2020362/fulltext.html

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