A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials
arXiv:1511.09155
Abstract
A simple discrete model of the two dimensional isotropic harmonic oscillator is presented. It is superintegrable with su(2) as its symmetry algebra. It is constructed with the help of the algebraic properties of the bivariate Charlier polyno-mials. This adds to the other discrete superintegrable models of the oscillator based on Krawtchouk and Meixner orthogonal polynomials in several variables.
12 pages. Contribution to the Proceedings of the IX international symposium Quantum Theory and Symmetries (QTS-9). The concluding remarks have been expanded and some typos corrected