Quasi-exact solvability and intertwining relations
| dc.creator | Klishevich, Sergey | |
| dc.date | 2004-10-06 | |
| dc.date | 2004-10-11 | |
| dc.date.accessioned | 2026-07-07T04:17:35Z | |
| dc.date.available | 2026-07-07T04:17:35Z | |
| dc.description | We emphasize intertwining relations as a universal tool in constructing one-dimensional quasi-exactly solvable operators and offer their possible generalization to the multidimensional case. Considered examples include all quasi-exactly solvable operators with invariant subspaces of monomials. We show that the simplest case of generalized intertwining relations allows to naturally relate quasi-exactly solvable operators with two invariant monomial subspaces to a nonlinear parasupersymmetry of second order. Quantum-mechanical systems with linear and nonlinear supersymmetry are discussed from the viewpoint of quasi-exact solvability. We construct such a general system with a cubic supersymmetry and argue that quantum-mechanical systems with nonlinear supersymmetry of fourth order and higher are generally not quasi-exactly solvable. Besides, we construct two examples of quasi-exactly solvable operators with invariant subspaces which cannot be reduced to monomial spaces. | |
| dc.description | 16 pages, typos corrected, minor changes, 2 references added | |
| dc.identifier | https://arxiv.org/abs/hep-th/0410064 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0410064 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/52815 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.subject | Quantum Physics | |
| dc.title | Quasi-exact solvability and intertwining relations | |
| dc.type | text |