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Teoreticheskaya i Matematicheskaya Fizika, 2007, Volume 150, Number 3, Pages 371–390
DOI: https://doi.org/10.4213/tmf5985 (Mi tmf5985) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Transition function for the Toda chain

A. V. Silant'evab

a Joint Institute for Nuclear Research
b Département de Mathématiques, Université d'Angers
Full-text PDF (690 kB) Citations (10)
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DOI: https://doi.org/10.4213/tmf5985
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
English version:
Theoretical and Mathematical Physics, 2007, Volume 150, Issue 3, Pages 315–331
DOI: https://doi.org/10.1007/s11232-007-0024-1
Bibliographic databases:
Language: Russian
Citation: A. V. Silant'ev, “Transition function for the Toda chain”, TMF, 150:3 (2007), 371–390; Theoret. and Math. Phys., 150:3 (2007), 315–331
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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