González López, ArtemioKamran, NikyOlver, Peter J.2023-06-202023-06-201994-010010-361610.1007/BF02099982https://hdl.handle.net/20.500.14352/59729© SpringerQuasi-exactly solvable Schrodinger operators have the remarkable property that a part of their spectrum can be computed by algebraic methods. Such operators lie in the enveloping algebra of a finite-dimensional Lie algebra of first order differential operators-the" hidden symmetry algebra. "In this paper we develop some general techniques for constructing quasi-exactly solvable operators. Our methods are applied to provide a wide variety of new explicit two-dimensional examples (on both flat and curved spaces) of quasi-exactly solvable Hamiltonians, corresponding to both semisimple and more general classes of Lie algebras.engjournal articlehttp://dx.doi.org/10.1007/BF02099982http://link.springer.comopen access51-73Differential-operatorsQuantum-mechanicsPartial algebraizationLie-algebrasScatteringEquationsFísica-Modelos matemáticosFísica matemática