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math-ph2015★ 1 cited
A superintegrable discrete harmonic oscillator based on bivariate Charlier polynomials
Vincent X. Genest, Hiroshi Miki, Luc Vinet +1
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…
math-ph2015★ 17 cited
Multidimensional Toda Lattices: Continuous and Discrete Time
Alexander I. Aptekarev, Maxim Derevyagin, Hiroshi Miki +1
In this paper we present multidimensional analogues of both the continuous- and discrete-time Toda lattices. The integrable systems that we consider here have two or more space coo…