Finkel Morgenstern, FedericoGonzález López, ArtemioRodríguez González, Miguel Ángel2023-06-202023-06-201997-060022-248810.1063/1.532020https://hdl.handle.net/20.500.14352/59671©1997 American Institute of Physics. The authors would like to acknowledge the partial financial support of the DGICYT under grant no. PB95-0401.The algebraic structures underlying quasi-exact solvability for spin 1/2 Hamiltonians in one dimension are studied in detail. Necessary and sufficient conditions for a matrix second-order differential operator preserving a space of wave functions with polynomial components to be equivalent to a Schrodinger operator are found. Systematic simplifications of these conditions are analyzed, and are then applied to the construction of new examples of multi-parameter QES spin 1/2 Hamiltonians in one dimension.engjournal articlehttp://dx.doi.org/10.1063/1.532020http://scitation.aip.orgopen access51-73Física-Modelos matemáticosFísica matemática