%0 Journal Article
%A González López, Artemio
%A Kamran, Niky
%A Olver, Peter J.
%T New quasi-exactly solvable hamiltonians in 2 dimensions
%D 1994
%@ 0010-3616
%U https://hdl.handle.net/20.500.14352/59729
%X 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.
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