A General $q$-Oscillator Algebra

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It is well-known that the Macfarlane-Biedenharn $q$-oscillator and its generalization has no Hopf structure, whereas the Hong Yan $q$-oscillator can be endowed with a Hopf structure. In this letter, we demonstrate that it is possible to construct a general $q$-oscillator algebra which includes the Macfarlane-Biedenharn oscillator algebra and the Hong Yan oscillator algebra as special cases.
Needs subeqnarray.sty and epsf.sty (contains 2 figures)

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Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/76507

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9801083
 http://arxiv.org/abs/math/9801083

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arXiv