The periodic and open Toda lattice
Abstract
We develop algebrogeometrical approach for the open Toda lattice. For a finite Jacobi matrix we introduce a singular reducible Riemann surface and associated BakerAkhiezer functions. We provide new explicit solution of inverse spectral problem for a finite Jacoby matrix. For the Toda lattice equations we obtain the explicit form of the equations of motion, the symplectic structure and Darboux coordinates. We develop similar approach for 2D open Toda. Explaining some the machinery we also make contact with the periodic case.
 Publication:

arXiv eprints
 Pub Date:
 October 2000
 DOI:
 10.48550/arXiv.hepth/0010184
 arXiv:
 arXiv:hepth/0010184
 Bibcode:
 2000hep.th...10184K
 Keywords:

 High Energy Physics  Theory
 EPrint:
 23 pages, Latex