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)γ. Just as the positive discrete series representations of su(1,1) can be used to model a qu...

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Bibliographic Details
Date:2012
Main Authors: Jafarov, E.I., Stoilova, N.I., Van der Jeugt, J.
Format: Article
Language:English
Published: Інститут математики НАН України 2012
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/148417
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Deformed su(1,1) Algebra as a Model for Quantum Oscillators / E.I. Jafarov, N.I. Stoilova, J. Van der Jeugt // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 33 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine