This article is cited in 10 papers

Transition function for the Toda chain

A. V. Silant'ev<sup>ab

a</sup> Joint Institute for Nuclear Research
^b Département de Mathématiques, Université d'Angers

Abstract: We use the method of $\Lambda$-operators developed by Derkachov, Korchemsky, and Manashov to derive eigenfunctions for the open Toda chain. Using the diagram technique developed for these $\Lambda$-operators, we reproduce the Sklyanin measure and study the properties of the $\Lambda$-operators. This approach to the open Toda chain eigenfunctions reproduces the Gauss–Givental representation for these eigenfunctions.

Keywords: Toda chain, separation of variables, $Q$-operators.

Received: 13.03.2006
Revised: 08.07.2006

DOI: 10.4213/tmf5985

 English version: Theoretical and Mathematical Physics, 2007, 150:3, 315–331

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