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On the representations of quantum oscillator algebra

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Abstract

It is shown that for q<1, the quantum oscillator algebra has a supplementary family of representations inequivalent to the usual q-Fock representation, with no counterpart at the limit q=1. They are used to build representations of SU q (1,1) and E(2) in Schwinger's way.

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Rideau, G. On the representations of quantum oscillator algebra. Lett Math Phys 24, 147–153 (1992). https://doi.org/10.1007/BF00402678

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  • DOI: https://doi.org/10.1007/BF00402678

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