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arXiv · hep-th/9509057

Quasi-Exactly Solvable Spin 1/2 Schrödinger Operators

Federico Finkel·Artemio Gonzalez-Lopez·Miguel A. Rodriguez
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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 \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.

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Federico Finkel, Artemio Gonzalez-Lopez, Miguel A. Rodriguez. 1995-09-11. Quasi-Exactly Solvable Spin 1/2 Schrödinger Operators. https://doi.org/10.1063/1.532020

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