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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. Kovalskya, G. P. Pron'koab

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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\jour Theoret. and Math. Phys.
\yr 2005
\vol 142
\issue 2
\pages 259--269
\crossref{https://doi.org/10.1007/s11232-005-0066-1}
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  • https://doi.org/10.4213/tmf1784
  • https://www.mathnet.ru/eng/tmf/v142/i2/p310
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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