Publication: Quasi-exactly solvable spin 1/2 Schrödinger operators
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1997-06
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American Institute of Physics
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Abstract
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.
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©1997 American Institute of Physics.
The authors would like to acknowledge the partial financial support of the DGICYT under grant no. PB95-0401.
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