An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models
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 &...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2007 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2007
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/147825 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | An 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
nasplib_isofts_kiev_ua-123456789-147825 |
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Hallnäs, M. 2019-02-16T08:54:47Z 2019-02-16T08:54:47Z 2007 An 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. 1815-0659 2000 Mathematics Subject Classification: 81Q05; 35Q58; 33C52 https://nasplib.isofts.kiev.ua/handle/123456789/147825 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. This 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. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models |
| spellingShingle |
An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models Hallnäs, M. |
| title_short |
An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models |
| title_full |
An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models |
| title_fullStr |
An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models |
| title_full_unstemmed |
An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models |
| title_sort |
explicit formula for symmetric polynomials related to the eigenfunctions of calogero-sutherland models |
| author |
Hallnäs, M. |
| author_facet |
Hallnäs, M. |
| publishDate |
2007 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147825 |
| citation_txt |
An 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. |
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AT hallnasm anexplicitformulaforsymmetricpolynomialsrelatedtotheeigenfunctionsofcalogerosutherlandmodels AT hallnasm explicitformulaforsymmetricpolynomialsrelatedtotheeigenfunctionsofcalogerosutherlandmodels |
| first_indexed |
2025-12-07T18:41:09Z |
| last_indexed |
2025-12-07T18:41:09Z |
| _version_ |
1850875964243836928 |