A_N-type Dunkl operators and new spin Calogero-Sutherland models
High Energy Physics - Theory
2009-11-07 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Keywords
Cite
@article{arxiv.hep-th/0102039,
title = {A_N-type Dunkl operators and new spin Calogero-Sutherland models},
author = {F. Finkel and D. Gomez-Ullate and A. Gonzalez-Lopez and M. A. Rodriguez and R. Zhdanov},
journal= {arXiv preprint arXiv:hep-th/0102039},
year = {2009}
}
Comments
18 pages. Typeset using LaTeX with amslatex and revtex 4 packages