A unified representation of the q-oscillator and the q-plane
Mathematical Physics
2007-05-23 v1 math.MP
Quantum Algebra
Abstract
Using deformations inspired by relativistic considerations and phase space symmetry, we deform the position and momentum operators in one dimension. The resulting algebra is shown to yield the q-oscillator algebra in one limiting case and the q-plane commutation relation in another.
Cite
@article{arxiv.math-ph/0012029,
title = {A unified representation of the q-oscillator and the q-plane},
author = {T. Rador},
journal= {arXiv preprint arXiv:math-ph/0012029},
year = {2007}
}