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Title: An explicit formula for symmetric polynomials related to the eigenfunctions of Calogero-Sutherland models
Authors: Hallnas, Martin
Keywords: Quantum integrable systems
Orthogonal polynomials
Symmetric functions
Issue Date: 2007
Publisher: Institute of Mathematics of National Academy of Sciences of Ukraine © the author
Citation: HALLNÄS, M., 2007. An explicit formula for symmetric polynomials related to the eigenfunctions of Calogero-Sutherland models. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 3 (037), 17pp.
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.
Description: This article was published in the journal, Symmetry, Integrability and Geometry : Methods and Applications (SIGMA) [© the author] and is made available under published in SIGMA under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence: http://creativecommons.org/licenses/by-nc-sa/3.0/
Version: Published
URI: https://dspace.lboro.ac.uk/2134/11811
Publisher Link: http://www.emis.de/journals/SIGMA/2007/037/sigma07-037.pdf
Appears in Collections:Published Articles (Maths)

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