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Symmetry, Integrability and Geometry: Methods and Applications, 2007, Volume 3, 109, 24 pp.
DOI: https://doi.org/10.3842/SIGMA.2007.109 (Mi sigma235) 		 
Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions

Mélisande Fortin Boisvert

Department of Mathematics and Statistics, McGill University, Montréal, Canada, H3A 2K6
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DOI: https://doi.org/10.3842/SIGMA.2007.109
Abstract: The main contribution of our paper is to give a partial classification of the quasi-exactly solvable Lie algebras of first order differential operators in three variables, and to show how this can be applied to the construction of new quasi-exactly solvable Schrödinger operators in three dimensions.
Keywords: quasi-exact solvability; Schrödinger operators; Lie algebras of first order differential operators; three dimensional manifolds.
Received: October 1, 2007; in final form November 2, 2007; Published online November 21, 2007
Bibliographic databases:
Document Type: Article
MSC: 81Q70; 22E70; 53C80
Language: English
Citation: Mélisande Fortin Boisvert, “Quasi-Exactly Solvable Schrödinger Operators in Three Dimensions”, SIGMA, 3 (2007), 109, 24 pp.
Citation in format AMSBIB
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\paper Quasi-Exactly Solvable Schr\"odinger Operators in Three Dimensions
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