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Exact solvability of superintegrable Benenti systems

A. Sergyeyev
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Abstract

We establish quantum and classical exact solvability for two large classes of maximally superintegrable Benenti systems in $n$ dimensions with arbitrarily large $n$. Namely, we solve the Hamilton--Jacobi and Schrödinger equations for the systems in question. The results obtained are illustrated for a model with the cubic potential.

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A. Sergyeyev. 2007-04-26. Exact solvability of superintegrable Benenti systems. https://doi.org/10.1063/1.2738829

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