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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2007 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2007
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147825 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862723277038813184 |
|---|---|
| author | Hallnäs, M. |
| author_facet | Hallnäs, M. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T18:41:09Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147825 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:41:09Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | An Explicit Formula for Symmetric Polynomials Related to the Eigenfunctions of Calogero-Sutherland Models Hallnäs, M. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147825 |
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