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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 473, Pages 34–65 (Mi znsl6653)  
This article is cited in 2 scientific papers (total in 2 papers)

$Q$-operator for the quantum NLS model

N. M. Belousov, S. E. Derkachov

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (318 kB) Citations (2)
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Abstract: In this paper we show that an operator introduced by A. A. Tsvetkov enjoys all the needed properties of $Q$-operator. It is shown that the $Q$-operator of the $XXX$ spin chain with spin $\ell$ turns into Tsvetkov's operator in the continuous limit when $\ell \rightarrow \infty$.
Key words and phrases: integrable models of quantum field theory, quantum NLS model, Baxter's $Q$-operator, XXX spin chain, functional methods.
Funding agency Grant number
Russian Science Foundation 14-11-00598
Received: 15.11.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 242, Issue 5, Pages 608–627
DOI: https://doi.org/10.1007/s10958-019-04500-w
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: N. M. Belousov, S. E. Derkachov, “$Q$-operator for the quantum NLS model”, Questions of quantum field theory and statistical physics. Part 25, Zap. Nauchn. Sem. POMI, 473, POMI, St. Petersburg, 2018, 34–65; J. Math. Sci. (N. Y.), 242:5 (2019), 608–627
Citation in format AMSBIB
\Bibitem{BelDer18}
\by N.~M.~Belousov, S.~E.~Derkachov
\paper $Q$-operator for the quantum NLS model
\inbook Questions of quantum field theory and statistical physics. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 473
\pages 34--65
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6653}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 242
\issue 5
\pages 608--627
\crossref{https://doi.org/10.1007/s10958-019-04500-w}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85074214048}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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