RT Journal Article T1 A_(N)-type Dunkl operators and new spin Calogero-Sutherland models A1 Finkel Morgenstern, Federico A1 Gómez-Ullate Otaiza, David A1 González López, Artemio A1 Rodríguez González, Miguel Ángel AB 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. PB Springer SN 0010-3616 YR 2001 FD 2001-08 LK https://hdl.handle.net/20.500.14352/59607 UL https://hdl.handle.net/20.500.14352/59607 LA eng NO ©Springer.This work was partially supported by the DGES under grant PB98-0821. R. Zhdanov would like to acknowledge the financial support by the Spanish Ministry of Education and Culture during his stay at the Universidad Complutense de Madrid. NO DGES NO Spanish Ministry of Education and Culture DS Docta Complutense RD 3 abr 2025