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, 2007, Volume 3, 037, 17 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.037 (Mi sigma163) 		 
This article is cited in 1 scientific paper (total in 1 paper)

An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero–Sutherland Models

Martin Hallnäs

Department of Theoretical Physics, Albanova University Center, SE-106 91 Stockholm, Sweden
Full-text PDF (287 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2007.037
Abstract: We review a recent construction of an explicit analytic series representation for symmetric polynomials which up to a groundstate factor are eigenfunctions of Calogero–Sutherland type models. We also indicate a generalisation of this result to polynomials which give the eigenfunctions of so-called “deformed” Calogero–Sutherland type models.
Keywords: quantum integrable systems; orthogonal polynomials; symmetric functions.
Received: November 1, 2006; in final form February 5, 2007; Published online March 1, 2007
Bibliographic databases:
Document Type: Article
MSC: 81Q05; 35Q58; 33C52
Language: English
Citation: Martin Hallnäs, “An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero–Sutherland Models”, SIGMA, 3 (2007), 037, 17 pp.
Citation in format AMSBIB
\Bibitem{Hal07}
\by Martin Halln\"as
\paper An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero--Sutherland Models
\jour SIGMA
\yr 2007
\vol 3
\papernumber 037
\totalpages 17
\mathnet{http://mi.mathnet.ru/sigma163}
\crossref{https://doi.org/10.3842/SIGMA.2007.037}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2299838}
\zmath{https://zbmath.org/?q=an:05241550}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207065200037}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84889234640}
Linking options:
  • https://www.mathnet.ru/eng/sigma163
  • https://www.mathnet.ru/eng/sigma/v3/p37
    • 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
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:193
    Full-text PDF :42
    References:31
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024