Exact solvability of superintegrable Benenti systems
Exactly Solvable and Integrable Systems
2007-06-13 v2 Mathematical Physics
math.MP
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 Schr\"odinger equations for the systems in question. The results obtained are illustrated for a model with the cubic potential.
Keywords
Cite
@article{arxiv.nlin/0701015,
title = {Exact solvability of superintegrable Benenti systems},
author = {A. Sergyeyev},
journal= {arXiv preprint arXiv:nlin/0701015},
year = {2007}
}
Comments
15 pages, LaTeX 2e, no figures; in the updated version a number of typos were fixed and other minor changes were made