AN-Type Dunkl Operators and New Spin Calogero–Sutherland Models

  title={AN-Type Dunkl Operators and New Spin Calogero–Sutherland Models},
  author={Federico Finkel and David G{\'o}mez-Ullate and A Gonz{\'a}lez-L{\'o}pez and M. A. Rodŕıguez and Renat Z. Zhdanov},
  journal={Communications in Mathematical Physics},
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. 
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