Superintegrability of generalized Calogero models with oscillator or Coulomb potential

Abstract

We deform N-dimensional (Euclidean, spherical and hyperbolic) oscillator and Coulomb systems, replacing their angular degrees of freedom by those of a generalized rational Calogero model. Using the action-angle description, it is established that maximal superintegrability is retained. For the rational Calogero model with Coulomb potential, we present all constants of motion via matrix model reduction. In particular, we construct the analog of the Runge-Lenz vector.

Original language	English
Article number	101701
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	90
Issue number	10
DOIs	https://doi.org/10.1103/PhysRevD.90.101701
Publication status	Published - 25 Nov 2014
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1103/PhysRevD.90.101701

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title = "Superintegrability of generalized Calogero models with oscillator or Coulomb potential",

abstract = "We deform N-dimensional (Euclidean, spherical and hyperbolic) oscillator and Coulomb systems, replacing their angular degrees of freedom by those of a generalized rational Calogero model. Using the action-angle description, it is established that maximal superintegrability is retained. For the rational Calogero model with Coulomb potential, we present all constants of motion via matrix model reduction. In particular, we construct the analog of the Runge-Lenz vector.",

author = "Tigran Hakobyan and Olaf Lechtenfeld and Armen Nersessian",

year = "2014",

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