Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 086, 24 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.086 (Mi sigma1981) 		 
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
Full-text PDF (619 kB)
References:
PDF
HTML
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}
Linking options:
  • https://www.mathnet.ru/eng/sigma1981
  • https://www.mathnet.ru/eng/sigma/v19/p86
    • 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
    Statistics & downloads:
    Abstract page:26
    Full-text PDF :7
    References:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024