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

Details 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

2007-03-01

arxiv.org/abs/math-ph/0703012v1

SIGMA 3 (2007), 037, 17 pages

Physics

Mathematical Physics

This is a contribution to the Proc. of workshop on Geometric Aspects of Integrable Systems (July 17-19, 2006; Coimbra, Portuga

Scientific paper

10.3842/SIGMA.2007.037

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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