Symmetries in superintegrable deformations of oscillator/Coulomb systems: "holomorphic factorization"
classification
✦ hep-th
math-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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