On the spectral curve of the difference Lamé operator
| dc.creator | Zabrodin, A. | |
| dc.date | 1998-12-30 | |
| dc.date.accessioned | 2026-07-07T05:27:24Z | |
| dc.date.available | 2026-07-07T05:27:24Z | |
| dc.description | We give two "complementary" descriptions of the curve $Γ$ parametrizing double-Bloch solutions to the difference analogue of the Lamé equation. The curve depends on a positive integer number $\ell$ and two continuous parameters: the "lattice spacing" $η$ and the modular parameter $τ$. Apart from being a covering of the elliptic curve with the modular parameter $τ$, $Γ$ is a hyperelliptic curve of genus $2\ell$. We also point out connections between the spectral curve and representations of the Sklyanin algebra. | |
| dc.description | 22 pages, latex | |
| dc.identifier | https://arxiv.org/abs/math/9812161 | |
| dc.identifier | http://arxiv.org/abs/math/9812161 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/77907 | |
| dc.subject | Quantum Algebra | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.subject | 39A70 (Primary) 33E10 (Secondary) | |
| dc.title | On the spectral curve of the difference Lamé operator | |
| dc.type | text |