Quantum Super-Integrable Systems as Exactly Solvable Models

Quantum Super-Integrable Systems as Exactly Solvable Models

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 dime...

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Bibliographic Details
Main Author: Allan P. Fordy
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2007-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
quantum integrability
super-integrability
exact solvability
Laplace-Beltrami
Online Access:http://www.emis.de/journals/SIGMA/2007/025/

Internet

http://www.emis.de/journals/SIGMA/2007/025/

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