Symmetries in superintegrable deformations of oscillator/Coulomb systems: "holomorphic factorization"

Abstract

We propose a unified description for the constants of motion for superintegrable deformations of the oscillator and Coulomb systems on N-dimensional Euclidean space, sphere and hyperboloid. We also consider the duality between these generalized systems and present some example.

arXiv comment12 pages

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Cited by in corpus (6)

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• Quasi-exactly solvable extensions of the Kepler-Coulomb potential on the sphere
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