Spherical Calogero model with oscillator/Coulomb potential: Classical case

Abstract

We construct the Hamiltonians and symmetry generators of Calogero-oscillator and Calogero-Coulomb models on the N-dimensional sphere within the matrix-model reduction approach. Our method also produces the integrable Calogero-Coulomb-Stark model on the sphere and proves the integrability of the spin extensions of all these systems.

Original language	English
Article number	125008
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	93
Issue number	12
DOIs	https://doi.org/10.1103/PhysRevD.93.125009
Publication status	Published - 7 Jun 2016

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1103/PhysRevD.93.125009

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Correa, F., Hakobyan, T., Lechtenfeld, O., & Nersessian, A. (2016). Spherical Calogero model with oscillator/Coulomb potential: Classical case. Physical Review D - Particles, Fields, Gravitation and Cosmology, 93(12), [125008]. https://doi.org/10.1103/PhysRevD.93.125009

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abstract = "We construct the Hamiltonians and symmetry generators of Calogero-oscillator and Calogero-Coulomb models on the N-dimensional sphere within the matrix-model reduction approach. Our method also produces the integrable Calogero-Coulomb-Stark model on the sphere and proves the integrability of the spin extensions of all these systems.",

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

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