%0 Journal Article
%T Quasi-Exactly Solvable Spin 1/2 Schr£żdinger Operators
%A Federico Finkel
%A Artemio Gonzalez-Lopez
%A Miguel A. Rodriguez
%J Mathematics
%D 1995
%I arXiv
%R 10.1063/1.532020
%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 \sch\ operator are found. Systematic simplifications of these conditions are analyzed, and are then applied to the construction of several new examples of multi-parameter QES spin 1/2 Hamiltonians in one dimension.
%U http://arxiv.org/abs/hep-th/9509057v1