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arXiv · 0808.0430

Cuboctahedric Higgs oscillator from the Calogero model

T. Hakobyan·A. Nersessian·V. Yeghikyan
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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.

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T. Hakobyan, A. Nersessian, V. Yeghikyan. 2009-04-08. Cuboctahedric Higgs oscillator from the Calogero model. https://doi.org/10.1088/1751-8113%2F42%2F20%2F205206

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