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González López, Artemio and Kamran, Niky and Olver, Peter J. (1994) New quasiexactly solvable hamiltonians in 2 dimensions. Communications in mathematical physics, 159 (3). pp. 503537. ISSN 00103616

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Official URL: http://dx.doi.org/10.1007/BF02099982
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http://link.springer.com  Publisher 
Abstract
Quasiexactly 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 finitedimensional Lie algebra of first order differential operatorsthe" hidden symmetry algebra. "In this paper we develop some general techniques for constructing quasiexactly solvable operators. Our methods are applied to provide a wide variety of new explicit twodimensional examples (on both flat and curved spaces) of quasiexactly solvable Hamiltonians, corresponding to both semisimple and more general classes of Lie algebras.
Item Type:  Article 

Additional Information:  © Springer 
Uncontrolled Keywords:  Differentialoperators; Quantummechanics; Partial algebraization; Liealgebras; Scattering; Equations 
Subjects:  Sciences > Physics > PhysicsMathematical 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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