Transition function for the Toda chain model

Details Transition function for the Toda chain model Transition function for the Toda chain model

2006-03-09

arxiv.org/abs/nlin/0603017v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

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.

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