A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials
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Author(s)
Miki, Hiroshi
Vinet, Luc
Yu, Guofu
Genest, Vincent X.
Genest, Vincent
Date Issued
August 2017
Journal
Physics of Atomic Nuclei
Publisher
Pleiades Publishing
Citation
Genest, Vincent X. et al. “A Superintegrable Discrete Harmonic Oscillator Based on Bivariate Charlier Polynomials.” Physics of Atomic Nuclei 80, 4 (July 2017): 794–800 © 2017 Pleiades Publishing, Ltd.
Version
Author's final manuscript
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1134/S106377881704010X
