Cuboctahedric Higgs oscillator from the Calogero model
Mathematical Physics
2010-01-15 v3 Strongly Correlated Electrons
High Energy Physics - Theory
math.MP
Abstract
We exclude the center of mass of the N-particle rational Calogero model and consider the angular part of the resulting Hamiltonian. We show that it describes the motion of the particle on (N-2)-dimensional sphere interacting with N(N-1)/2 force centers with Higgs oscillator potential. In the case of four-particle system these force centers define the vertexes of an Archimedean solid called cuboctahedron.
Keywords
Cite
@article{arxiv.0808.0430,
title = {Cuboctahedric Higgs oscillator from the Calogero model},
author = {T. Hakobyan and A. Nersessian and V. Yeghikyan},
journal= {arXiv preprint arXiv:0808.0430},
year = {2010}
}
Comments
8 pages, 2 figures, revised version accepted in J. Phys. A, new material on superintegrability and refs added