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Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group
- Shilin, I. A.;
- Choi, Junesang;
- Lee, Jae Won
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5초록
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.
키워드
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; BESSEL
- 제목
- Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group
- 저자
- Shilin, I. A.; Choi, Junesang; Lee, Jae Won
- 발행일
- 2020
- 유형
- Article
- 저널명
- AIMS MATHEMATICS
- 권
- 5
- 호
- 6
- 페이지
- 5664 ~ 5682
- 언어
- ENG
- 출판사
- AMER INST MATHEMATICAL SCIENCES-AIMS
- 발행국가
- 미국
- 분량
- 19 페이지
- ISSN
- E 2473-6988
P 2473-6988