A q-Lorentz Algebra From q-Deformed Harmonic Oscillators
q-alg
2011-07-19 v2 High Energy Physics - Theory
Quantum Algebra
Abstract
A mapping between the operators of the bosonic oscillator and the Lorentz rotation and boost generators is presented. The analog of this map in the -deformed regime is then applied to -deformed bosonic oscillators to generate a -deformed Lorentz algebra, via an inverse of the standard chiral decomposition. A fundamental representation, and the co-algebra structure, are given, and the generators are reformulated into -deformed rotations and boosts. Finally, a relation between the -boson operators and a basis of -deformed Minkowski coordinates is noted.
Cite
@article{arxiv.q-alg/9509007,
title = {A q-Lorentz Algebra From q-Deformed Harmonic Oscillators},
author = {A. Ritz and G. C. Joshi},
journal= {arXiv preprint arXiv:q-alg/9509007},
year = {2011}
}
Comments
20 pages, REVTeX, uses aps.sty