RT Journal Article T1 Quasi-exactly solvable n-body spin hamiltonians with short-ange interaction potentials A1 Enciso, Alberto A1 Finkel Morgenstern, Federico A1 González López, Artemio A1 Rodríguez González, Miguel Ángel AB We review some recent results on quasi-exactly solvable spin models presenting near-neighbors interactions. These systems can be understood as cyclic generalizations of the usual Calogero-Sutherland models. A nontrivial modification of the exchange operator formalism is used to obtain several infinite families of eigenfunctions of these models in closed form. PB Institute of Mathematics of National Academy of Science of Ukraine SN 1815-0659 YR 2006 FD 2006-11-03 LK https://hdl.handle.net/20.500.14352/51523 UL https://hdl.handle.net/20.500.14352/51523 LA eng NO ©Institute of Mathematics of National Academy of Science of Ukraine.This work was partially supported by the DGI under grant no. FIS2005-00752. A.E. acknowledges the financial support of the Spanish Ministry of Education through an FPU scholarship. NO DGI NO Spanish Ministry of Education DS Docta Complutense RD 21 abr 2025