%0 Journal Article
%A Finkel Morgenstern, Federico
%A González López, Artemio
%A Rodríguez González, Miguel Ángel
%T Quasi-exactly solvable spin 1/2 Schrödinger operators
%D 1997
%@ 0022-2488
%U https://hdl.handle.net/20.500.14352/59671
%X 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.
%~