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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 204, Number 3, Pages 430–435
DOI: https://doi.org/10.4213/tmf9881 (Mi tmf9881) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Wronskian-type formula for inhomogeneous $TQ$ equations

Rafael I. Nepomechie

Department of Physics, University of Miami, Coral Gables, Florida, USA
Full-text PDF (372 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf9881
Abstract: It is known that the transfer-matrix eigenvalues of the isotropic open Heisenberg quantum spin-1/2 chain with nondiagonal boundary magnetic fields satisfy a $TQ$ equation with an inhomogeneous term. We derive a discrete Wronskian-type formula relating a solution of this inhomogeneous $TQ$ equation to the corresponding solution of a dual inhomogeneous $TQ$ equation.
Keywords: Bethe ansatz, $TQ$ equation, discrete Wronskian, boundary integrability.
Funding agency Grant number
Cooper Fellowship
This research was supported in part by a Cooper fellowship.
Received: 17.01.2020
Revised: 23.03.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 204, Issue 3, Pages 1195–1200
DOI: https://doi.org/10.1134/S0040577920090068
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: Rafael I. Nepomechie, “Wronskian-type formula for inhomogeneous $TQ$ equations”, TMF, 204:3 (2020), 430–435; Theoret. and Math. Phys., 204:3 (2020), 1195–1200
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf9881
  • https://doi.org/10.4213/tmf9881
  • https://www.mathnet.ru/eng/tmf/v204/i3/p430
    • This publication is cited in the following 4 articles:
    1. A. Yu. Orlov, “Integrals of tau functions: A round dance tau function and multimatrix integrals”, Theoret. and Math. Phys., 215:3 (2023), 784–792  mathnet  mathnet  crossref  crossref  mathscinet  scopus
    2. A. Yu. Orlov, “Polygon gluing and commuting bosonic operators”, Theoret. and Math. Phys., 216:2 (2023), 1110–1118  mathnet  mathnet  crossref  crossref  mathscinet  scopus
    3. A. Andreev, A. Popolitov, A. Sleptsov, A. Zhabin, “Combinatorics of KP hierarchy structural constants”, Eur. Phys. J. C, 81:12 (2021)  crossref
    4. Amburg N. Orlov A. Vasiliev D., “On Products of Random Matrices”, Entropy, 22:9 (2020), 972  crossref  mathscinet  isi
    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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    Abstract page:213
    Full-text PDF :69
    References:32
    First page:5
     
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