Dynamical Symmetries in q-deformed Quantum Mechanics
q-alg
2016-09-08 v1 High Energy Physics - Theory
Quantum Algebra
Abstract
The dynamical algebra of the q-deformed harmonic oscillator is constructed. As a result, we find the free deformed Hamiltonian as well as the Hamiltonian of the deformed oscillator as a complicated, momentum dependent interaction Hamiltonian in terms of the usual canonical variables. Furthermore we construct a well-defined algebra SU(1,1) with consistent conjugation properties and comultiplication. We obtain non lowest weight representations of this algebra.
Cite
@article{arxiv.q-alg/9502007,
title = {Dynamical Symmetries in q-deformed Quantum Mechanics},
author = {A. Lorek and J. Wess},
journal= {arXiv preprint arXiv:q-alg/9502007},
year = {2016}
}
Comments
19 pages, latex, no figures