2015/11/30 by Vincent X. Genest, Hiroshi Miki, Genest, Vincent X. +6
Mathematics · Physics and Astronomy · #37K05 #39A14 #39A70 #70H33 #81R05 #81R12 #Advanced Fiber Laser Technologies #FOS: Physical sciences #Mathematical Physics (math-ph) #Photorefractive and Nonlinear Optics #Quantum Mechanics and Non-Hermitian Physics #math-ph #math.MP #msc:37K05 #msc:39A14 #msc:39A70 #msc:70H33 #msc:81R05 #msc:81R12
paper · pdf · doi:10.48550/arxiv.1511.09155
12 pages. Contribution to the Proceedings of the IX international symposium Quantum Theory and Symmetries (QTS-9). The concluding remarks have been expanded and some typos corrected
openalex publication_date 2015/11/30 · arxiv created 2015/12/10 · arxiv updated 2015/12/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.