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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 204, Number 3, Pages 453–465
DOI: https://doi.org/10.4213/tmf9884 (Mi tmf9884) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Generating function for scalar products in the algebraic Bethe ansatz

N. A. Slavnov

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf9884
Abstract: We construct a family of determinant representations for scalar products of Bethe vectors in models with $\mathfrak{gl}(3)$ symmetry. This family is defined by a single generating function containing arbitrary complex parameters but is independent of their specific values. Choosing these parameters in different ways, we can obtain different determinant representations.
Keywords: scalar product, generating function, determinant.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00273_a
This research was supported by the Russian Foundation for Basic Research (Grant No. 18-01-00273_a).
Received: 22.01.2020
Revised: 22.01.2020
English version:
Theoretical and Mathematical Physics, 2020, Volume 204, Issue 3, Pages 1216–1226
DOI: https://doi.org/10.1134/S004057792009010X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: N. A. Slavnov, “Generating function for scalar products in the algebraic Bethe ansatz”, TMF, 204:3 (2020), 453–465; Theoret. and Math. Phys., 204:3 (2020), 1216–1226
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf/v204/i3/p453
    • This publication is cited in the following 1 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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