Transition function for the Toda chain model

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.

References in corpus (1)

• Separation of variables for the quantum SL(2,R) spin chain

Cited by in corpus (8)

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• Spin Chains and Gustafson's Integrals
• Aspects of the inverse problem for the Toda chain
• On the separation of variables for the modular XXZ magnet and the lattice Sinh-Gordon models
• Mellin-Barnes presentations for Whittaker wave functions