A General -Oscillator Algebra
arXiv:math/9801083
Abstract
It is well-known that the Macfarlane-Biedenharn -oscillator and its generalization has no Hopf structure, whereas the Hong Yan -oscillator can be endowed with a Hopf structure. In this letter, we demonstrate that it is possible to construct a general -oscillator algebra which includes the Macfarlane-Biedenharn oscillator algebra and the Hong Yan oscillator algebra as special cases.
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