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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
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
Citation:
Martin Hallnäs, “An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero–Sutherland Models”, SIGMA, 3 (2007), 037, 17 pp.
Linking options:
https://www.mathnet.ru/eng/sigma163 https://www.mathnet.ru/eng/sigma/v3/p37
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Abstract page: | 193 | Full-text PDF : | 42 | References: | 31 |
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