| Автор | O B Zaslavskii |
| Дата выпуска | 1993-11-21 |
| dc.description | A new method of obtaining many-dimensional quasi-exactly-solvable models is suggested. It is based on constructing the generating function with the help of coefficients which obey a finite difference equation. The structure of this equation is selected to obtain the closed second-order differential equation for the generating function. Under some conditions this equation can be thought of as the Schrodinger equation in curved space. For the two-dimensional case the many-parametric class of solution is found explicitly. The spherically-symmetrical case is investigated in detail. It is shown that this case contains spaces of a constant Riemann curvature of both signs. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Quasi-exactly-solvable models from finite-dimensional matrices |
| Тип | paper |
| DOI | 10.1088/0305-4470/26/22/048 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 26 |
| Первая страница | 6563 |
| Последняя страница | 6574 |
| Аффилиация | O B Zaslavskii; Dept. of Phys., Kharkov State Univ., Ukraine |
| Выпуск | 22 |
