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Transition function for the Toda chain

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Abstract

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

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Authors and Affiliations

  1. Joint Institute for Nuclear Research, Dubna, Moscow Oblast, Russia

    A. V. Silantyev

  2. Département de Mathématiques, Université d’Angers, Angers, France

    A. V. Silantyev

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  1. A. V. Silantyev
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 150, No. 3, pp. 371–390, March, 2007.

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Silantyev, A.V. Transition function for the Toda chain. Theor Math Phys 150, 315–331 (2007). https://doi.org/10.1007/s11232-007-0024-1

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  • DOI: https://doi.org/10.1007/s11232-007-0024-1

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