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An explicit formula for symmetric polynomials related to the eigenfunctions of Calogero-Sutherland models

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journal contribution
posted on 28.02.2013, 12:38 authored by Martin Hallnas
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.

History

School

  • Science

Department

  • Mathematical Sciences

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.

Publisher

Institute of Mathematics of National Academy of Sciences of Ukraine © the author

Version

VoR (Version of Record)

Publication date

2007

Notes

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/

eISSN

1815-0659

Language

en