RT Journal Article T1 Quasi-exactly solvable spin 1/2 Schrödinger operators A1 Finkel Morgenstern, Federico A1 González López, Artemio A1 Rodríguez González, Miguel Ángel AB 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. PB American Institute of Physics SN 0022-2488 YR 1997 FD 1997-06 LK https://hdl.handle.net/20.500.14352/59671 UL https://hdl.handle.net/20.500.14352/59671 LA eng NO ©1997 American Institute of Physics.The authors would like to acknowledge the partial financial support of the DGICYT under grant no. PB95-0401. NO DGICYT DS Docta Complutense RD 6 abr 2025