Separation of variables for the Dn type periodic Toda lattice
solv-int
2009-10-30 v1 High Energy Physics - Theory
Exactly Solvable and Integrable Systems
Abstract
We prove separation of variables for the most general (Dn type) periodic Toda lattice with 2x2 Lax matrix. It is achieved by finding proper normalisation for the corresponding Baker-Akhiezer function. Separation of variables for all other periodic Toda lattices associated with infinite series of root systems follows by taking appropriate limits.
Keywords
Cite
@article{arxiv.solv-int/9701009,
title = {Separation of variables for the Dn type periodic Toda lattice},
author = {Vadim B. Kuznetsov},
journal= {arXiv preprint arXiv:solv-int/9701009},
year = {2009}
}
Comments
15 pages, LaTex, no figures