The Stackel systems and algebraic curves
| dc.creator | Tsiganov, A. V. | |
| dc.date | 1997-12-02 | |
| dc.date.accessioned | 2026-07-07T06:17:28Z | |
| dc.date.available | 2026-07-07T06:17:28Z | |
| dc.description | We show how the Abel-Jacobi map provides all the principal properties of an ample family of integrable mechanical systems associated to hyperelliptic curves. We prove that derivative of the Abel-Jacobi map is just the Stäckel matrix, which determines $n$-orthogonal curvilinear coordinate systems in a flat space. The Lax pairs, $r$-matrix algebras and explicit form of the flat coordinates are constructed. An application of the Weierstrass reduction theory allows to construct several flat coordinate systems on a common hyperelliptic curve and to connect among themselves different integrable systems on a single phase space. | |
| dc.description | 21 pages, LaTeX, no figures | |
| dc.identifier | https://arxiv.org/abs/solv-int/9712003 | |
| dc.identifier | http://arxiv.org/abs/solv-int/9712003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/94397 | |
| dc.subject | Exactly Solvable and Integrable Systems | |
| dc.title | The Stackel systems and algebraic curves | |
| dc.type | text |