A. V. Silant'ev, “Transition function for the Toda chain”, TMF, 150:3 (2007), 371–390; Theoret. and Math. Phys., 150:3 (2007), 315

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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'ev^ab

^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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Linking options:

https://www.mathnet.ru/eng/tmf5985

https://doi.org/10.4213/tmf5985

https://www.mathnet.ru/eng/tmf/v150/i3/p371

This publication is cited in the following 10 articles:

Alexander N. Manashov, “Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb C)$ Spin Chains”, SIGMA, 19 (2023), 086, 24 pp.
Sergey É. Derkachov, Karol K. Kozlowski, Alexander N. Manashov, “Completeness of SoV Representation for $\mathrm{SL}(2,\mathbb R)$ Spin Chains”, SIGMA, 17 (2021), 063, 26 pp.
Kharchev S., Khoroshkin S., “Mellin-Barnes Presentations For Whittaker Wave Functions”, Adv. Math., 375 (2020), 107368
Derkachov S.E., Kozlowski K.K., Manashov A.N., “On the Separation of Variables For the Modular Xxz Magnet and the Lattice Sinh-Gordon Models”, Ann. Henri Poincare, 20:8 (2019), 2623–2670
J. Math. Sci. (N. Y.), 242:5 (2019), 658–682
Derkachov S.E. Manashov A.N. Valinevich P.A., “Gustafson Integrals For Sl(2, C) Spin Magnet”, J. Phys. A-Math. Theor., 50:29 (2017), 294007
Derkachov S.E. Manashov A.N., “Spin Chains and Gustafson'S Integrals”, J. Phys. A-Math. Theor., 50:29 (2017), 294006
Kozlowski K.K., “Unitarity of the Sov Transform For the Toda Chain”, Commun. Math. Phys., 334:1 (2015), 223–273
Derkachov S.E. Manashov A.N., “Iterative Construction of Eigenfunctions of the Monodromy Matrix For Sl(2, C) Magnet”, J. Phys. A-Math. Theor., 47:30 (2014), 305204
Kozlowski K.K., “Aspects of the Inverse Problem for the Toda Chain”, J. Math. Phys., 54:12 (2013), 121902

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	268
References:	86
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