Bethe Ansatz for the Ruijsenaars Model of BC_1-Type
| dc.creator | Chalykh, Oleg | |
| dc.date | 2007-02-22 | |
| dc.date.accessioned | 2026-07-07T09:34:35Z | |
| dc.date.available | 2026-07-07T09:34:35Z | |
| dc.description | We consider one-dimensional elliptic Ruijsenaars model of type $BC_1$. It is given by a three-term difference Schrödinger operator $L$ containing 8 coupling constants. We show that when all coupling constants are integers, $L$ has meromorphic eigenfunctions expressed by a variant of Bethe ansatz. This result generalizes the Bethe ansatz formulas known in the $A_1$-case. | |
| dc.description | This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/math/0702676 | |
| dc.identifier | http://arxiv.org/abs/math/0702676 | |
| dc.identifier | SIGMA 3 (2007), 028, 9 pages | |
| dc.identifier | doi:10.3842/SIGMA.2007.028 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/159546 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Mathematical Physics | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | Bethe Ansatz for the Ruijsenaars Model of BC_1-Type | |
| dc.type | text |