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Quantum Super-Integrable Systems as Exactly Solvable Models
Symmetry, integrability and geometry: methods and applications, Tome 3 (2007) Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider some examples of quantum super-integrable systems and the associated nonlinear extensions of Lie algebras. The intimate relationship between super-integrability and exact solvability is illustrated. Eigenfunctions are constructed through the action of the commuting operators. Finite dimensional representations of the quadratic algebras are thus constructed in a way analogous to that of the highest weight representations of Lie algebras.
Keywords: quantum integrability; super-integrability; exact solvability; Laplace–Beltrami. 
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     author = {Allan P. Fordy},
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Allan P. Fordy. Quantum Super-Integrable Systems as Exactly Solvable Models. Symmetry, integrability and geometry: methods and applications, Tome 3 (2007). http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a24/

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