| Автор | R Z Zhdanov |
| Дата выпуска | 1997-12-21 |
| dc.description | We suggest a generalization of the Lie algebraic approach for constructing quasi-exactly solvable one-dimensional Schrödinger equations. This generalization is based on representations of Lie algebras by first-order matrix differential operators. We have classified inequivalent representations of the Lie algebras of dimensions up to three by first-order matrix differential operators in one variable. Next we describe invariant finite-dimensional subspaces of the representation spaces of the one-, two-dimensional Lie algebras and of the algebra . These results enable us to construct multiparameter families of first- and second-order quasi-exactly solvable models. In particular, we have obtained two classes of quasi-exactly solvable matrix Schrödinger equations. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | On algebraic classification of quasi-exactly solvable matrix models |
| Тип | paper |
| DOI | 10.1088/0305-4470/30/24/034 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 30 |
| Первая страница | 8761 |
| Последняя страница | 8770 |
| Аффилиация | R Z Zhdanov; Institute of Mathematics, 3 Tereshchenkivska Street, 252004 Kiev, Ukraine |
| Выпуск | 24 |
