q-deformed dynamics of q-deformed oscillators
Quantum Physics
2009-10-31 v2
Abstract
We show that an infinite set of q-deformed relevant operators close a partial q-deformed Lie algebra under commutation with the Arik-Coon oscillator. The dynamics is described by the multicommutator: [H,..., [H, O]...], that follows a power law which leads to a dynamical scaling. We study the dynamics of the Arik-Coon and anharmonic oscillators and analyze the role of q and the other parameters in the evolution of both systems.
Keywords
Cite
@article{arxiv.quant-ph/9904057,
title = {q-deformed dynamics of q-deformed oscillators},
author = {Jose Luis Gruver},
journal= {arXiv preprint arXiv:quant-ph/9904057},
year = {2009}
}
Comments
6 pages, RevTex