Revisiting the Symmetries of the Quantum Smorodinsky-Winternitz System in D Dimensions

The D-dimensional Smorodinsky-Winternitz system, proposed some years ago by Evans, is re-examined from an algebraic viewpoint. It is shown to possess a potential algebra, as well as a dynamical potential one, in addition to its known symmetry and dynamical algebras. The first two are obtained in hyp...

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Bibliographic Details
Main Author: Christiane Quesne
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2011-04-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2011.035