Exact solvability of superintegrable Benenti systems
| dc.creator | Sergyeyev, A. | |
| dc.date | 2007-01-08 | |
| dc.date | 2007-04-26 | |
| dc.date.accessioned | 2026-07-07T08:05:08Z | |
| dc.date.available | 2026-07-07T08:05:08Z | |
| dc.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. | |
| dc.description | 15 pages, LaTeX 2e, no figures; in the updated version a number of typos were fixed and other minor changes were made | |
| dc.identifier | https://arxiv.org/abs/nlin/0701015 | |
| dc.identifier | http://arxiv.org/abs/nlin/0701015 | |
| dc.identifier | J. Math. Phys. 48 (2007), 052114 (11 pages) | |
| dc.identifier | doi:10.1063/1.2738829 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130182 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | Mathematical Physics | |
| dc.title | Exact solvability of superintegrable Benenti systems | |
| dc.type | text |