AN-Type Dunkl Operators and New Spin Calogero-Sutherland Models
Abstract
A new family of AN-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.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- 2001
- DOI:
- 10.1007/s002200100468
- arXiv:
- arXiv:hep-th/0102039
- Bibcode:
- 2001CMaPh.221..477F
- Keywords:
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- High Energy Physics - Theory;
- Mathematical Physics;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 18 pages. Typeset using LaTeX with amslatex and revtex 4 packages