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oai:docta.ucm.es:20.500.14352/597292023-08-26T07:28:07Zcom_20.500.14352_14col_20.500.14352_15

González López, Artemio Kamran, Niky Olver, Peter J. 2023-06-20T20:10:03Z 2023-06-20T20:10:03Z 1994-01 0010-3616 10.1007/BF02099982 https://hdl.handle.net/20.500.14352/59729 http://dx.doi.org/10.1007/BF02099982 http://link.springer.com Quasi-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. eng open access New quasi-exactly solvable hamiltonians in 2 dimensions journal article