Enciso, AlbertoFinkel Morgenstern, FedericoGonzález López, ArtemioRodríguez González, Miguel Ángel2023-06-202023-06-202006-11-031815-0659https://hdl.handle.net/20.500.14352/51523©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.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.engjournal articlehttp://www.emis.ams.org/journals/SIGMA/2006/Paper073/sigma06-073.pdfhttp://www.emis.ams.orgopen access51-73Calogero–Sutherland modelsExchange operatorsQuasi-exact solvabilityFísica-Modelos matemáticosFísica matemática