A triangular-lattice finite-difference model is constructed that is maximally superintegrable, exactly solvable by Krawtchouk and dual Hahn polynomials, and whose continuum limit reproduces the continuous Smorodinsky-Winternitz II system with Hermite-Laguerre eigenfunctions.
The radial model, Journal of Physics A: Mathematical and General34(2001), no
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A discrete Smorodinsky--Winternitz II superintegrable system
A triangular-lattice finite-difference model is constructed that is maximally superintegrable, exactly solvable by Krawtchouk and dual Hahn polynomials, and whose continuum limit reproduces the continuous Smorodinsky-Winternitz II system with Hermite-Laguerre eigenfunctions.