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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 473, Pages 110–146 (Mi znsl6658)  
This article is cited in 8 scientific papers (total in 8 papers)

Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of Sklyanin $B$-operator

S. E. Derkachov, P. A. Valinevich

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (332 kB) Citations (8)
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Abstract: The quantum $SL(3, \mathbb{C})$ invariant spin magnet with infinite-dimensional principal series representation in local spaces is considered. We construct eigenfunctions of Sklyanin's $B$-operator which define the representation of separated variables of the model.
Key words and phrases: quantum spin chain, Separation of Variables, Yang–Baxter equation.
Funding agency Grant number
Russian Science Foundation 14-11-00598
This work is supported by the Russian Science Foundation (project no. 14-11-00598).
Received: 15.10.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 242, Issue 5, Pages 658–682
DOI: https://doi.org/10.1007/s10958-019-04505-5
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: S. E. Derkachov, P. A. Valinevich, “Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of Sklyanin $B$-operator”, Questions of quantum field theory and statistical physics. Part 25, Zap. Nauchn. Sem. POMI, 473, POMI, St. Petersburg, 2018, 110–146; J. Math. Sci. (N. Y.), 242:5 (2019), 658–682
Citation in format AMSBIB
\Bibitem{DerVal18}
\by S.~E.~Derkachov, P.~A.~Valinevich
\paper Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of Sklyanin $B$-operator
\inbook Questions of quantum field theory and statistical physics. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 473
\pages 110--146
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6658}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 242
\issue 5
\pages 658--682
\crossref{https://doi.org/10.1007/s10958-019-04505-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85074194820}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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