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González López, Artemio and Kamran, Niky and Olver, Peter J.
(1994)
*New quasi-exactly solvable hamiltonians in 2 dimensions.*
Communications in mathematical physics, 159
(3).
pp. 503-537.
ISSN 0010-3616

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Official URL: http://dx.doi.org/10.1007/BF02099982

## Abstract

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.

Item Type: | Article |
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Additional Information: | © Springer |

Uncontrolled Keywords: | Differential-operators; Quantum-mechanics; Partial algebraization; Lie-algebras; Scattering; Equations |

Subjects: | Sciences > Physics > Physics-Mathematical models Sciences > Physics > Mathematical physics |

ID Code: | 32877 |

Deposited On: | 26 Aug 2015 07:33 |

Last Modified: | 10 Dec 2018 15:10 |

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