The Inhomogeneous Quantum Invariance Group of The Two Parameter Deformed Boson Algebra

We consider two parameter deformed boson algebra and investigate the inhomogeneous invariance quantum group of this system. We find the R -matrix which collects all information about the non-commuting structure of the quantum group. We extend our study to the d -dimensional case.

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Bibliographic Details
Published in:International journal of theoretical physics 2010-03, Vol.49 (3), p.633-643
Main Authors: Alim, Huseyin, Altintas, Azmi Ali, Arik, Metin, Arikan, Ali Serdar
Format: Article
Language:English
Subjects:
Elementary Particles
Mathematical and Computational Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Theoretical
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Summary:We consider two parameter deformed boson algebra and investigate the inhomogeneous invariance quantum group of this system. We find the R -matrix which collects all information about the non-commuting structure of the quantum group. We extend our study to the d -dimensional case.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-009-0243-3