RT Journal Article T1 New quasi-exactly solvable hamiltonians in 2 dimensions A1 González López, Artemio A1 Kamran, Niky A1 Olver, Peter J. AB 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. PB Springer SN 0010-3616 YR 1994 FD 1994-01 LK https://hdl.handle.net/20.500.14352/59729 UL https://hdl.handle.net/20.500.14352/59729 LA eng NO © Springer DS Docta Complutense RD 7 abr 2025