English

Transition function for the Toda chain model

Exactly Solvable and Integrable Systems 2015-06-26 v2 Mathematical Physics math.MP

Abstract

The method of Lambda-operators developed by S. Derkachov, G. Korchemsky, A. Manashov is applied to a derivation of eigenfunctions for the open Toda chain. The Sklyanin measure is reproduced using diagram technique developed for these Lambda-operators. The properties of the Lambda-operators are studied. This approach to the open Toda chain eigenfunctions reproduces Gauss-Givental representation for these eigenfunctions.

Cite

@article{arxiv.nlin/0603017,
  title  = {Transition function for the Toda chain model},
  author = {A. Silantyev},
  journal= {arXiv preprint arXiv:nlin/0603017},
  year   = {2015}
}