Symmetries in superintegrable deformations of oscillator and 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 examples.

Original language	English
Article number	025014
Journal	Physical Review D
Volume	95
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevD.95.025014
Publication status	Published - 2017
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.95.025014

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title = "Symmetries in superintegrable deformations of oscillator and 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 examples.",

author = "Tigran Hakobyan and Armen Nersessian and Hovhannes Shmavonyan",

year = "2017",

doi = "10.1103/PhysRevD.95.025014",

language = "English",

volume = "95",

journal = "Physical review D: Particles and fields",

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AU - Shmavonyan, Hovhannes

PY - 2017

Y1 - 2017

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DO - 10.1103/PhysRevD.95.025014

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