Zapiski Nauchnykh Seminarov POMI
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


Zap. Nauchn. Sem. POMI:
Year:
Volume:
Issue:
Page:
Find




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

Zapiski Nauchnykh Seminarov POMI, 2018, Volume 473, Pages 110–146 (Mi znsl6658)  
This article is cited in 8 scientific papers (total in 8 papers)

Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of Sklyanin $B$-operator

S. E. Derkachov, P. A. Valinevich

St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
Full-text PDF (332 kB) Citations (8)
References:
PDF
HTML
Abstract: The quantum $SL(3, \mathbb{C})$ invariant spin magnet with infinite-dimensional principal series representation in local spaces is considered. We construct eigenfunctions of Sklyanin's $B$-operator which define the representation of separated variables of the model.
Key words and phrases: quantum spin chain, Separation of Variables, Yang–Baxter equation.
Funding agency Grant number
Russian Science Foundation 14-11-00598
This work is supported by the Russian Science Foundation (project no. 14-11-00598).
Received: 15.10.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 242, Issue 5, Pages 658–682
DOI: https://doi.org/10.1007/s10958-019-04505-5
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: S. E. Derkachov, P. A. Valinevich, “Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of Sklyanin $B$-operator”, Questions of quantum field theory and statistical physics. Part 25, Zap. Nauchn. Sem. POMI, 473, POMI, St. Petersburg, 2018, 110–146; J. Math. Sci. (N. Y.), 242:5 (2019), 658–682
Citation in format AMSBIB
\Bibitem{DerVal18}
\by S.~E.~Derkachov, P.~A.~Valinevich
\paper Separation of variables for the quantum $SL(3,\mathbb{C})$ spin magnet: eigenfunctions of Sklyanin $B$-operator
\inbook Questions of quantum field theory and statistical physics. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 473
\pages 110--146
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6658}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 242
\issue 5
\pages 658--682
\crossref{https://doi.org/10.1007/s10958-019-04505-5}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85074194820}
Linking options:
  • https://www.mathnet.ru/eng/znsl6658
  • https://www.mathnet.ru/eng/znsl/v473/p110
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Записки научных семинаров ПОМИ
    Statistics & downloads:
    Abstract page:147
    Full-text PDF :43
    References:24
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024