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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive

SIGMA, 2007 Volume 3, 037, 17 pp. (Mi sigma163)

This article is cited 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

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.

MSC: 81Q05; 35Q58; 33C52

Received: November 1, 2006; in final form February 5, 2007; Published online March 1, 2007

Language: English

DOI: 10.3842/SIGMA.2007.037



Bibliographic databases:
ArXiv: math-ph/0703012


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