Approach of spherical harmonics to the representation of the deformed su(1,1) algebra
Journal Article
·
· Journal of Mathematical Physics
- Department of Theoretical Physics and Astrophysics, Physics Faculty, University of Tabriz, Tabriz 51666-16471 (Iran, Islamic Republic of)
The m-shifting generators of su(2) algebra together with a pair of l-shifting ladder symmetry operators have been used in the space of all spherical harmonics Y{sub l}{sup m}({theta},{phi}) in order to introduce a new set of operators, expressing the transitions between them. It is shown that the space of spherical harmonics whose l+2m or l-2m is given presents negative and positive irreducible representations of a deformed su(1,1) algebra, respectively. These internal symmetries also suggest new algebraic methods to construct the spherical harmonics in the framework of the spectrum-generating algebras.
- OSTI ID:
- 21175780
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 11 Vol. 49; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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