A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials

Author(s)
Miki, Hiroshi; Vinet, Luc; Yu, Guofu; Genest, Vincent X.; Genest, Vincent
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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 polynomials. This adds to the other discrete superintegrable models of the oscillator based on Krawtchouk and Meixner orthogonal polynomials in several variables.
Date issued
2017-08
URI
http://hdl.handle.net/1721.1/111029
Department
Massachusetts Institute of Technology. Department of Mathematics
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
ISSN
1063-7788
1562-692X
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