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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title = "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.",

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

year = "2016",

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day = "7",

doi = "10.1103/PhysRevD.93.125009",

language = "English",

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

issn = "1550-7998",

publisher = "American Institute of Physics Publising LLC",

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AB - 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.

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