A. E. Kovalsky, G. P. Pron'ko, “Baxter $Q$-operators for the integrable discrete self-trapping chain”, TMF, 142:2 (2005), 310–321; Theoret. and Math. Phys., 142:2 (2005), 259

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Teoreticheskaya i Matematicheskaya Fizika, 2005, Volume 142, Number 2, Pages 310–321
DOI: https://doi.org/10.4213/tmf1784 (Mi tmf1784)

This article is cited in 4 scientific papers (total in 4 papers)

Baxter

$Q$ -operators for the integrable discrete self-trapping chain

A. E. Kovalsky^a, G. P. Pron'ko^ab

^a Institute for High Energy Physics
^b International Solvay Institute

Full-text PDF (216 kB) Citations (4)

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DOI: https://doi.org/10.4213/tmf1784

Abstract: For the integrable discrete self-trapping chain, we construct Baxter

$Q$ -operators as the traces of the monodromy of certain

$M$ -operators that act in the quantum and auxiliary spaces. With this procedure, we obtain two basic

$M$ -operators and derive some functional relations between them such as intertwining relations and Wronskian-type relations between two basic

$Q$ -operators.

Keywords: integrable chains, algebraic Bethe ansatz, functional equations.

English version:
Theoretical and Mathematical Physics, 2005, Volume 142, Issue 2, Pages 259–269
DOI: https://doi.org/10.1007/s11232-005-0066-1

Bibliographic databases:

Language: Russian

Citation: A. E. Kovalsky, G. P. Pron'ko, “Baxter

$Q$ -operators for the integrable discrete self-trapping chain”, TMF, 142:2 (2005), 310–321; Theoret. and Math. Phys., 142:2 (2005), 259–269

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/tmf1784

https://doi.org/10.4213/tmf1784

https://www.mathnet.ru/eng/tmf/v142/i2/p310

This publication is cited in the following 4 articles:

Frassek R., “Algebraic Bethe Ansatz For Q-Operators: the Heisenberg Spin Chain”, J. Phys. A-Math. Theor., 48:29 (2015), 294002
Chicherin D., Derkachov S., Karakhanyan D., Kirschner R., “Baxter operators for arbitrary spin II”, Nuclear Phys B, 854:2 (2012), 433–465
Bazhanov V.V., Frassek R., Lukowski T., Meneghelli C., Staudacher M., “Baxter Q-operators and representations of Yangians”, Nuclear Phys B, 850:1 (2011), 148–174
Bazhanov V.V., Lukowski T., Meneghelli C., Staudacher M., “A shortcut to the Q-operator”, J Stat Mech Theory Exp, 2010, P11002

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 :	196
References:	32
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