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, 2010, Volume 163, Number 2, Pages 288–298
DOI: https://doi.org/10.4213/tmf6500
(Mi tmf6500)
 

This article is cited in 8 scientific papers (total in 9 papers)

Jordanian deformation of the open XXX spin chain

P. P. Kulisha, N. Manoilovichb, Z. Nagyc

a St. Petersburg Department of Steklov Institute of Mathematics, St.~Petersburg, Russia
b Departamento de Matemática, Universidade do Algarve, Campus de Gambelas, Faro, Portugal
c Grupo de Física Mathemática da Universidade de Lisboa, Lisboa, Portugal
Full-text PDF (397 kB) Citations (9)
References:
Abstract: We find the general solution of the reflection equation associated with the Jordanian deformation of the $SL(2)$-invariant Yang $R$-matrix. A special scaling limit of the XXZ model with general boundary conditions leads to the same $K$-matrix. Following the Sklyanin formalism, we derive the Hamiltonian with the boundary terms in explicit form. We also discuss the structure of the spectrum of the deformed XXX model and its dependence on the boundary conditions.
Keywords: spin chain, boundary condition, quantum group, reflection equation.
Received: 11.11.2009
English version:
Theoretical and Mathematical Physics, 2010, Volume 163, Issue 2, Pages 644–652
DOI: https://doi.org/10.1007/s11232-010-0047-x
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. P. Kulish, N. Manoilovich, Z. Nagy, “Jordanian deformation of the open XXX spin chain”, TMF, 163:2 (2010), 288–298; Theoret. and Math. Phys., 163:2 (2010), 644–652
Citation in format AMSBIB
\Bibitem{KulManNag10}
\by P.~P.~Kulish, N.~Manoilovich, Z.~Nagy
\paper Jordanian deformation of the~open XXX spin chain
\jour TMF
\yr 2010
\vol 163
\issue 2
\pages 288--298
\mathnet{http://mi.mathnet.ru/tmf6500}
\crossref{https://doi.org/10.4213/tmf6500}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2010TMP...163..644K}
\elib{https://elibrary.ru/item.asp?id=15321762}
\transl
\jour Theoret. and Math. Phys.
\yr 2010
\vol 163
\issue 2
\pages 644--652
\crossref{https://doi.org/10.1007/s11232-010-0047-x}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000278584200005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77953533776}
Linking options:
  • https://www.mathnet.ru/eng/tmf6500
  • https://doi.org/10.4213/tmf6500
  • https://www.mathnet.ru/eng/tmf/v163/i2/p288
  • This publication is cited in the following 9 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
    Statistics & downloads:
    Abstract page:720
    Full-text PDF :201
    References:63
    First page:13
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024