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, 2015, Volume 11, 037, 9 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.037 (Mi sigma1018) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Quantum Integrals for a Semi-Infinite $q$-Boson System with Boundary Interactions

Jan Felipe van Diejena, Erdal Emsizb

a Instituto de Matemática y Física, Universidad de Talca, Casilla 747, Talca, Chile
b Facultad de Matemáticas, Pontificia Universidad Católica de Chile, Casilla 306, Correo 22, Santiago, Chile
Full-text PDF (335 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2015.037
Abstract: We provide explicit formulas for the quantum integrals of a semi-infinite $q$-boson system with boundary interactions. These operators and their commutativity are deduced from the Pieri formulas for a $q\to 0$ Hall–Littlewood type degeneration of the Macdonald–Koornwinder polynomials.
Keywords: $q$-bosons; boundary interactions; Hall–Littlewood functions; hyperoctahedral symmetry; Pieri formulas; integrability.
Received: February 4, 2015; in final form April 30, 2015; Published online May 6, 2015
Bibliographic databases:
Document Type: Article
MSC: 33D52; 81R50; 81T25; 82B23
Language: English
Citation: Jan Felipe van Diejen, Erdal Emsiz, “Quantum Integrals for a Semi-Infinite $q$-Boson System with Boundary Interactions”, SIGMA, 11 (2015), 037, 9 pp.
Citation in format AMSBIB
\Bibitem{VanEms15}
\by Jan~Felipe~van Diejen, Erdal~Emsiz
\paper Quantum Integrals for a~Semi-Infinite $q$-Boson System with Boundary Interactions
\jour SIGMA
\yr 2015
\vol 11
\papernumber 037
\totalpages 9
\mathnet{http://mi.mathnet.ru/sigma1018}
\crossref{https://doi.org/10.3842/SIGMA.2015.037}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3343091}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000355281500001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84929428645}
Linking options:
  • https://www.mathnet.ru/eng/sigma1018
  • https://www.mathnet.ru/eng/sigma/v11/p37
    • This publication is cited in the following 3 articles:
    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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025