A_{N}Type Dunkl Operators and New Spin CalogeroSutherland Models
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 quasiexactly solvable quantum spin CalogeroSutherland models are obtained. These include, in particular, three families of quasiexactly solvable elliptic spin Hamiltonians.
 Publication:

Communications in Mathematical Physics
 Pub Date:
 2001
 DOI:
 10.1007/s002200100468
 arXiv:
 arXiv:hepth/0102039
 Bibcode:
 2001CMaPh.221..477F
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 18 pages. Typeset using LaTeX with amslatex and revtex 4 packages