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A General q-Oscillator Algebra

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Abstract

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.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, National University of Singapore, Lower Kent Ridge, Singapore, 119260, Republic of Singapore.

    L.C. Kwek & C.H. Oh

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  1. L.C. Kwek
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  2. C.H. Oh
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Correspondence to C.H. Oh.

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Kwek, L., Oh, C. A General q-Oscillator Algebra. Letters in Mathematical Physics 44, 273–281 (1998). https://doi.org/10.1023/A:1007439806793

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  • DOI: https://doi.org/10.1023/A:1007439806793

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