%0 Journal Article %A Finkel Morgenstern, Federico %A Gómez-Ullate Otaiza, David %A González López, Artemio %A Rodríguez González, Miguel Ángel %T A_(N)-type Dunkl operators and new spin Calogero-Sutherland models %D 2001 %@ 0010-3616 %U https://hdl.handle.net/20.500.14352/59607 %X 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. %~