A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials

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 polynomials. This adds to the other discrete superintegrable mode...

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Bibliographic Details
Main Authors: Miki, Hiroshi, Vinet, Luc, Yu, Guofu, Genest, Vincent X., Genest, Vincent
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Pleiades Publishing 2017
Online Access:http://hdl.handle.net/1721.1/111029