Deformed su(1,1) Algebra as a Model for Quantum Oscillators

The Lie algebra su(1,1) can be deformed by a reflection operator, in such a way that the positive discrete series representations of su}(1,1) can be extended to representations of this deformed algebra su(1,1)_gamma. Just as the positive discrete series representations of su(1,1) can be used to mode...

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Bibliographic Details
Main Authors: Elchin I. Jafarov, Neli I. Stoilova, Joris Van der Jeugt
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-05-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.025