A_N-type Dunkl operators and new spin Calogero-Sutherland models

Details A_N-type Dunkl operators and new spin Calogero-Sutherland models A_N-type Dunkl operators and new spin Calogero-Sutherland models

2001-02-07

arxiv.org/abs/hep-th/0102039v1

Commun.Math.Phys. 221 (2001) 477-497

Physics

High Energy Physics

High Energy Physics - Theory

18 pages. Typeset using LaTeX with amslatex and revtex 4 packages

Scientific paper

10.1007/s002200100468

A new family of A_N-type Dunkl operators preserving a polynomial subspace of finite dimension is constructed. Using a general quadratic combination of these operators and the usual Dunkl operators, several new families of exactly and quasi-exactly solvable quantum spin Calogero-Sutherland models are obtained. These include, in particular, three families of quasi-exactly solvable elliptic spin Hamiltonians.

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