A simple discrete model of the two dimensional isotropic harmonic oscillatoris presented. It is superintegrable with su(2) as its symmetry algebra. It isconstructed with the help of the algebraic properties of the bivariate Charlierpolyno-mials. This adds to the other discrete superintegrable models of theoscillator based on Krawtchouk and Meixner orthogonal polynomials in severalvariables.
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