On algebraic classification of quasi-exactly solvable matrix models
| dc.creator | Zhdanov, R. Z. | |
| dc.date | 1997-08-17 | |
| dc.date.accessioned | 2026-07-07T10:53:48Z | |
| dc.date.available | 2026-07-07T10:53:48Z | |
| dc.description | We suggest a generalization of the Lie algebraic approach for constructing quasi-exactly solvable one-dimensional Schroedinger equations which is due to Shifman and Turbiner in order to include into consideration matrix models. 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 the dimension 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 sl(2,R). These results enable constructing multi-parameter families of first- and second-order quasi-exactly solvable models. In particular, we have obtained two classes of quasi-exactly solvable matrix Schroedinger equations. | |
| dc.description | LaTeX-file, 16 pages, submitted to J.Phys.A: Math.Gen | |
| dc.identifier | https://arxiv.org/abs/hep-th/9708092 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9708092 | |
| dc.identifier | J.Phys.A30:8761-8770,1997 | |
| dc.identifier | doi:10.1088/0305-4470/30/24/034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/185606 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | On algebraic classification of quasi-exactly solvable matrix models | |
| dc.type | text |