A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials

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

doi:10.1134/S106377881704010X

A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials

Authors: Genest V.X.¹, Miki H.², Vinet L.³^,1, Yu G.¹
Affiliations:
1. Department of Mathematics
2. Department of Electronics, Faculty of Science and Engineering
3. Centre de Recherches Mathématiques
Issue: Vol 80, No 4 (2017)
Pages: 794-800
Section: Elementary Particles and Fields
URL: https://journals.rcsi.science/1063-7788/article/view/192375
DOI: https://doi.org/10.1134/S106377881704010X
ID: 192375

Cite item

Full Text

Open Access
Restricted Access

Access granted
Restricted Access

Subscription Access

Abstract
About the authors
References
Supplementary files
Statistics

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 polynomials. This adds to the other discrete superintegrable models of the oscillator based on Krawtchouk and Meixner orthogonal polynomials in several variables.