u{sub q}(2,1) noncompact quantum algebra: Intermediate discrete series of unitary irreducible representations

Journal Article · Thu Jun 15 00:00:00 EDT 2006 · Physics of Atomic Nuclei

DOI:https://doi.org/10.1134/S1063778806060159· OSTI ID:21076045

Kharitonov, Yu I ^[1]; Asherova, R M ^[2]

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1. Russian Academy of Sciences, Petersburg Nuclear Physics Institute (Russian Federation)
2. Institute of Physics and Power Engineering (Russian Federation)

The unitary irreducible representations of the u{sub q}(2,1) quantum algebra that belong to the intermediate discrete series are considered. The q analog of the Mickelsson-Zhelobenko algebra is developed. Use is made of the U basis corresponding to the reduction u{sub q}(2,1) superset of u{sub q}(2). Explicit formulas for the matrix elements of the generators are obtained in this basis. The projection operator that projects an arbitrary vector onto the extremal vector of the intermediate-series representation is found.

• OSTI ID: 21076045
• Journal Information: Physics of Atomic Nuclei, Vol. 69, Issue 6; Other Information: DOI: 10.1134/S1063778806060159; Copyright (c) 2006 Nauka/Interperiodica; Article Copyright (c) 2006 Pleiades Publishing, Inc; Country of input: International Atomic Energy Agency (IAEA); ISSN 1063-7788
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
IRREDUCIBLE REPRESENTATIONS
MATRIX ELEMENTS
PROJECTION OPERATORS
REDUCTION
VECTORS