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arXiv · 1511.09155

A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials

Vincent X. Genest·Hiroshi Miki·Luc Vinet·Guofu Yu
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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.

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Vincent X. Genest, Hiroshi Miki, Luc Vinet, Guofu Yu. 2015-12-10. A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials. https://arxiv.org/abs/1511.09155

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