English

On Baxter Q-operators for Toda Chain

Exactly Solvable and Integrable Systems 2009-10-31 v1

Abstract

We suggest the procedure of the construction of Baxter Q-operators for Toda chain . Apart from the one-paramitric family of Q-operators, considered in our recent paper (hep-th/9908179) we also give the construction of two basic Q-operators and the derivation of the functional relations for these operators. Also we have found the relation of the basic Q-operators with Bloch solutions of the quantum linear problem.

Keywords

Cite

@article{arxiv.nlin/0003002,
  title  = {On Baxter Q-operators for Toda Chain},
  author = {G. P. Pronko},
  journal= {arXiv preprint arXiv:nlin/0003002},
  year   = {2009}
}

Comments

LaTeX, 24 pages

R2 v1 2026-07-22T18:06:39.845Z