A General $q$-Oscillator Algebra
Quantum Algebra
2007-05-23 v1
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.
Keywords
Cite
@article{arxiv.math/9801083,
title = {A General $q$-Oscillator Algebra},
author = {L. C. Kwek and C. H. Oh},
journal= {arXiv preprint arXiv:math/9801083},
year = {2007}
}
Comments
Needs subeqnarray.sty and epsf.sty (contains 2 figures)