Exact solvability of superintegrable Benenti systems
Abstract
Description
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.
15 pages, LaTeX 2e, no figures; in the updated version a number of typos were fixed and other minor changes were made
15 pages, LaTeX 2e, no figures; in the updated version a number of typos were fixed and other minor changes were made