An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models

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dc.contributor.authorHallnäs, M.
dc.date.accessioned2019-02-16T08:54:47Z
dc.date.available2019-02-16T08:54:47Z
dc.date.issued2007
dc.description.abstractWe 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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Proceedings of the Workshop on Geometric Aspects of Integrable Systems (July 17–19, 2006, University of Coimbra, Portugal). I would like to thank Edwin Langmann and the three referees for a number of helpful comments on the manuscript. Financial support from the Knut and Alice Wallenberg foundation and the European Union through the FP6 Marie Curie RTN ENIGMA (Contract number MRTN-CT2004-5652) is also gratefully acknowledged.uk_UA
dc.identifier.citationAn Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models / M. Hallnäs // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 27 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 81Q05; 35Q58; 33C52
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147825
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleAn Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Modelsuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік