Coherency of su(1,1)-Barut-Girardello type and entanglement for spherical harmonics
- Department of Theoretical Physics and Astrophysics, Physics Faculty, University of Tabriz, 51666-16471 Tabriz (Iran, Islamic Republic of)
Barut-Girardello coherent states corresponding to the (l-m)- and (l+m)-integer discrete irreducible representations of su(1,1) Lie algebra are calculated by the spherical harmonics Y{sub lm}({theta},{phi}). Their explicit compact forms and also, to realize the resolution of the identity, their corresponding positive definite measures on the complex plane are obtained in terms of the known functions. It is also shown that coherent states of both positive and negative representations separately lead us to construct new representation bases for su(1,1) Lie algebra. Then, it is shown that the su(1,1)-Barut-Girardello coherent states corresponding to two particles containing the spatial parity symmetries of a bipartite quantum system can be entangled in ten different ways.
- OSTI ID:
- 21294089
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 5 Vol. 50; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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