Cuboctahedric Higgs oscillator from the Calogero model

Details Cuboctahedric Higgs oscillator from the Calogero model Cuboctahedric Higgs oscillator from the Calogero model

2008-08-04

arxiv.org/abs/0808.0430v3

J.Phys.A42:205206,2009

Physics

Mathematical Physics

8 pages, 2 figures, revised version accepted in J. Phys. A, new material on superintegrability and refs added

Scientific paper

10.1088/1751-8113/42/20/205206

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.

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