Superintegrability of generalized Calogero models with oscillator or Coulomb potential

Tigran Hakobyan, Olaf Lechtenfeld, Armen Nersessian

Research output: Contribution to journal › Article

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

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ASJC Scopus subject areas

Nuclear and High Energy Physics

Cite this

Hakobyan, T., Lechtenfeld, O., & Nersessian, A. (2014). Superintegrability of generalized Calogero models with oscillator or Coulomb potential. Physical Review D - Particles, Fields, Gravitation and Cosmology, 90(10), [101701]. https://doi.org/10.1103/PhysRevD.90.101701

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Access to Document

10.1103/PhysRevD.90.101701