paper

Exact solvability of superintegrable Benenti systems

arXiv:nlin/0701015 · doi:10.1063/1.2738829

Abstract

We establish quantum and classical exact solvability for two large classes of maximally superintegrable Benenti systems in dimensions with arbitrarily large . 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.

15 pages, LaTeX 2e, no figures; in the updated version a number of typos were fixed and other minor changes were made

Exact solvability of superintegrable Benenti systems · wovepaper