Spherical Calogero model with oscillator/Coulomb potential: classical case
High Energy Physics - Theory
2016-06-15 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1604.00026,
title = {Spherical Calogero model with oscillator/Coulomb potential: classical case},
author = {Francisco Correa and Tigran Hakobyan and Olaf Lechtenfeld and Armen Nersessian},
journal= {arXiv preprint arXiv:1604.00026},
year = {2016}
}
Comments
11 pages, no figures