Quantum harmonic oscillator algebras as non-relativistic limits of multiparametric $gl(2)$ quantizations
arXiv:math/9809003 · doi:10.1023/A:1021677827430
Abstract
Multiparametric quantum $gl(2)$ algebras are presented according to a classification based on their corresponding Lie bialgebra structures. From them, the non-relativistic limit leading to quantum harmonic oscillator algebras is implemented in the form of generalized Lie bialgebra contractions.
8 pages, LaTeX; presented by P.P. at the VII-th Colloquium "Quantum Groups and Integrable Systems", Prague 18-20 June 1998, to be published in Czech. J. Phys