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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 473, Pages 34–65
(Mi znsl6653)
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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
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.
Received: 15.11.2018
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
Linking options:
https://www.mathnet.ru/eng/znsl6653 https://www.mathnet.ru/eng/znsl/v473/p34
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Abstract page: | 234 | Full-text PDF : | 66 | References: | 22 |
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