an explicit formula for symmetric polynomials related to the eigenfunctions of calogero-sutherland models

an explicit formula for symmetric polynomials related to the eigenfunctions of calogero-sutherland models

;Martin Hallnäs
Therapeutic drug monitoring 2007 Vol. 3 pp. 037-
137
hallns2007symmetry,an

Abstract

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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