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

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arxiv 1612.00794 v1 pith:VR2RHW53 submitted 2016-12-02 hep-th math-phmath.MPnlin.SI

Tigran Hakobyan , Armen Nersessian , Hovhannes Shmavonyan This is my paper · ORCID
classification hep-thmath-phmath.MPnlin.SI
keywords systemscoulombdeformationsoscillatorsuperintegrableconsiderconstantsdescription
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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.

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