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Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 086, 24 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.086 (Mi sigma1981) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb C)$ Spin Chains

Alexander N. Manashov

Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, 80805 München, Germany
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DOI: https://doi.org/10.3842/SIGMA.2023.086
Abstract: We prove the unitarity of the separation of variables transform for $\mathrm{SL}(2,\mathbb C)$ spin chains by a method based on the use of Gustafson integrals.
Keywords: spin chains, separation of variables, Gustafson's integrals.
Received: March 30, 2023; in final form October 20, 2023; Published online November 4, 2023
Document Type: Article
MSC: 33C70, 81R12
Language: English
Citation: Alexander N. Manashov, “Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb C)$ Spin Chains”, SIGMA, 19 (2023), 086, 24 pp.
Citation in format AMSBIB
\Bibitem{Man23}
\by Alexander~N.~Manashov
\paper Unitarity of the SoV Transform for $\mathrm{SL}(2,\mathbb C)$ Spin Chains
\jour SIGMA
\yr 2023
\vol 19
\papernumber 086
\totalpages 24
\mathnet{http://mi.mathnet.ru/sigma1981}
\crossref{https://doi.org/10.3842/SIGMA.2023.086}
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    • This publication is cited in the following 1 articles:
    1. P. V. Antonenko, N. M. Belousov, S. È. Derkachov, P. A. Valinevich, “Reflection operator and hypergeometry II: $SL(2,\mathbb{C})$ spin chain”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki. 30, Zap. nauchn. sem. POMI, 532, POMI, SPb., 2024, 47–79  mathnet
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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