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Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz groupopen access
- Authors
- Shilin, I. A.; Choi, Junesang; Lee, Jae Won
- Issue Date
- 2020
- Publisher
- AMER INST MATHEMATICAL SCIENCES-AIMS
- Keywords
- Coulomb functions; Bessel-Clifford functions; the first and the second Bessel-Clifford integral transforms; Bessel-Macdonald integral transform; Appell function F-1; Whittaker function; proper Lorenz group; bases transformations; matrix elements of representation
- Citation
- AIMS MATHEMATICS, v.5, no.6, pp 5664 - 5682
- Pages
- 19
- Indexed
- SCIE
SCOPUS
- Journal Title
- AIMS MATHEMATICS
- Volume
- 5
- Number
- 6
- Start Page
- 5664
- End Page
- 5682
- ISSN
- 2473-6988
2473-6988
- Abstract
- 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.
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