Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

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
Full-text PDF (447 kB) Citations (1)
References:
PDF
HTML
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
\Bibitem{Sla20}
\by N.~A.~Slavnov
\paper Generating function for scalar products in the~algebraic Bethe ansatz
\jour TMF
\yr 2020
\vol 204
\issue 3
\pages 453--465
\mathnet{http://mi.mathnet.ru/tmf9884}
\crossref{https://doi.org/10.4213/tmf9884}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4153752}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2020TMP...204.1216S}
\elib{https://elibrary.ru/item.asp?id=45305605}
\transl
\jour Theoret. and Math. Phys.
\yr 2020
\vol 204
\issue 3
\pages 1216--1226
\crossref{https://doi.org/10.1134/S004057792009010X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000572663400010}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85091519066}
Linking options:
  • https://www.mathnet.ru/eng/tmf9884
  • https://doi.org/10.4213/tmf9884
  • 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024