A General $q$-Oscillator Algebra

Details A General $q$-Oscillator Algebra A General $q$-Oscillator Algebra

1998-01-19

arxiv.org/abs/math/9801083v1

Mathematics

Quantum Algebra

Needs subeqnarray.sty and epsf.sty (contains 2 figures)

Scientific paper

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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