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oai:docta.ucm.es:20.500.14352/596712023-08-25T13:08:22Zcom_20.500.14352_14col_20.500.14352_15

Quasi-exactly solvable spin 1/2 Schrödinger operators Finkel Morgenstern, Federico González López, Artemio Rodríguez González, Miguel Ángel ©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. 2023-06-20T20:08:45Z 2023-06-20T20:08:45Z 1997-06 journal article 0022-2488 10.1063/1.532020 https://hdl.handle.net/20.500.14352/59671 http://dx.doi.org/10.1063/1.532020 http://scitation.aip.org eng PB95-0401 open access American Institute of Physics