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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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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spelling	doaj-9dc0f2b4cb1c49289b897c6ae1c9458f2020-11-25T03:33:03ZengAIMS PressAIMS Mathematics2473-69882020-07-01565664568210.3934/math.2020362Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz groupI. A. Shilin0Junesang Choi1Jae Won Lee21 Department of Higher Mathematics, National Research University MPEI, Krasnokazarmennaya 14, Moscow 111250, Russia 2 Department of Algebra, Moscow State Pedagogical University, Malaya Pirogovskaya 1, Moscow 119991, Russia3 Department of Mathematics, Dongguk University, Gyeongju 38066, Republic of Korea4 Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828, Republic of KoreaFor 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.https://www.aimspress.com/article/10.3934/math.2020362/fulltext.htmlcoulomb functionsbessel-clifford functionsthe first and the second bessel-clifford integral transformsbessel-macdonald integral transformappell function f1whittaker functionproper lorenz groupbases transformationsmatrix elements of representation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	I. A. Shilin Junesang Choi Jae Won Lee
spellingShingle	I. A. Shilin Junesang Choi Jae Won Lee Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group AIMS Mathematics 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
author_facet	I. A. Shilin Junesang Choi Jae Won Lee
author_sort	I. A. Shilin
title	Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group
title_short	Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group
title_full	Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group
title_fullStr	Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group
title_full_unstemmed	Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group
title_sort	some integrals involving coulomb functions associated with the three-dimensional proper lorentz group
publisher	AIMS Press
series	AIMS Mathematics
issn	2473-6988
publishDate	2020-07-01
description	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.
topic	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
url	https://www.aimspress.com/article/10.3934/math.2020362/fulltext.html
work_keys_str_mv	AT iashilin someintegralsinvolvingcoulombfunctionsassociatedwiththethreedimensionalproperlorentzgroup AT junesangchoi someintegralsinvolvingcoulombfunctionsassociatedwiththethreedimensionalproperlorentzgroup AT jaewonlee someintegralsinvolvingcoulombfunctionsassociatedwiththethreedimensionalproperlorentzgroup
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Some integrals involving Coulomb functions associated with the three-dimensional proper Lorentz group

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