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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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| Format: | Default Article |
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2007
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| Online Access: | https://hdl.handle.net/2134/11811 |
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| _version_ | 1818174164583841792 |
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| author | Martin Hallnas |
| author_facet | Martin Hallnas |
| author_sort | Martin Hallnas (1248081) |
| collection | Figshare |
| 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. |
| format | Default Article |
| id | rr-article-9386789 |
| institution | Loughborough University |
| publishDate | 2007 |
| record_format | Figshare |
| spelling | rr-article-93867892007-01-01T00:00:00Z An explicit formula for symmetric polynomials related to the eigenfunctions of Calogero-Sutherland models Martin Hallnas (1248081) Other mathematical sciences not elsewhere classified Quantum integrable systems Orthogonal polynomials Symmetric functions Mathematical Sciences not elsewhere classified 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. 2007-01-01T00:00:00Z Text Journal contribution 2134/11811 https://figshare.com/articles/journal_contribution/An_explicit_formula_for_symmetric_polynomials_related_to_the_eigenfunctions_of_Calogero-Sutherland_models/9386789 CC BY-NC-ND 4.0 |
| spellingShingle | Other mathematical sciences not elsewhere classified Quantum integrable systems Orthogonal polynomials Symmetric functions Mathematical Sciences not elsewhere classified Martin Hallnas An explicit formula for symmetric polynomials related to the eigenfunctions of Calogero-Sutherland models |
| 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 |
| topic | Other mathematical sciences not elsewhere classified Quantum integrable systems Orthogonal polynomials Symmetric functions Mathematical Sciences not elsewhere classified |
| url | https://hdl.handle.net/2134/11811 |