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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
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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
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    		Symmetry, Integrability and Geometry: Methods and Applications
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