Is it possible to construct exactly solvable models?
| dc.creator | Haschke, Oliver | |
| dc.creator | Ruehl, Werner | |
| dc.date | 1998-09-21 | |
| dc.date | 1998-10-01 | |
| dc.date.accessioned | 2026-07-07T04:25:10Z | |
| dc.date.available | 2026-07-07T04:25:10Z | |
| dc.description | We develop a constructive method to derive exactly solvable quantum mechanical models of rational (Calogero) and trigonometric (Sutherland) type. This method starts from a linear algebra problem: finding eigenvectors of triangular finite matrices. These eigenvectors are transcribed into eigenfunctions of a selfadjoint Schrödinger operator. We prove the feasibility of our method by constructing a new "$AG_3$ model" of trigonometric type (the rational case was known before from Wolfes 1975). Applying a Coxeter group analysis we prove its equivalence with the $B_3$ model. In order to better understand features of our construction we exhibit the $F_4$ rational model with our method. | |
| dc.description | 22 pages, 2 eps figures, latex 2epsilon, usepackage epsfig | |
| dc.identifier | https://arxiv.org/abs/hep-th/9809152 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9809152 | |
| dc.identifier | Lect.Notes Phys. 539 (2000) 118-140 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/55670 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Is it possible to construct exactly solvable models? | |
| dc.type | text |