Published June 2010
| Version v1
Journal article
(R,p,q)-deformed quantum algebras: Coherent states and special functions
- 1. International Chair in Mathematical Physics and Applications (ICMPA-UNESCO Chair), University of Abomey-Calavi, 072 B.P. 50 Cotonou (Benin)
Description
We provide with a generalization of well known (p,q)-deformed Heisenberg algebras, called (R,p,q)-deformed quantum algebras, and study the corresponding (R,p,q)-series. A general formulation of the binomial theorem is given. Special functions are obtained as limit cases. This work well prolongs a previous work by Odzijewicz [Commun. Math. Phys. 192, 183 (1998)]. Known results in the literature are recovered.
Additional details
Identifiers
- DOI
- 10.1063/1.3429996;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 51
- Journal Issue
- 6
- Journal Page Range
- p. 063518-063518.20
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 41096709
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- ALGEBRA; ANNIHILATION OPERATORS; EIGENSTATES; FUNCTIONAL ANALYSIS; FUNCTIONS
- Descriptors DEC
- MATHEMATICAL OPERATORS; MATHEMATICS; QUANTUM OPERATORS
Optional Information
- Notes
- (c) 2010 American Institute of Physics