Elliptic analog of the Toda lattice
| dc.creator | Krichever, I. M. | |
| dc.date | 1999-09-30 | |
| dc.date | 1999-11-04 | |
| dc.date.accessioned | 2026-07-07T04:27:07Z | |
| dc.date.available | 2026-07-07T04:27:07Z | |
| dc.description | The action-angle variables for N-particle Hamiltonian system with the Hamiltonian $H=\sum_{n=0}^{N-1} \ln sh^{-2}(p_n/2)+\ln(\wp(x_n-x_{n+1})- \wp(x_n+x_{n+1})), x_N=x_0,$ are constructed, and the system is solved in terms of the Riemann $θ$-functions. It is shown that this system describes pole dynamics of the elliptic solutions of 2D Toda lattice corresponding to spectral curves defined by the equation $w^2-P_{N}^{el}(z)w+Λ^{2N}=0$, where $P_{N}^{el}(z)$ is an elliptic function with pole of order N at the point z=0. | |
| dc.description | 25 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/hep-th/9909224 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9909224 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56302 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Elliptic analog of the Toda lattice | |
| dc.type | text |