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Abstract: We exclude the center of mass of the N-particle rational Calogero model andconsider the angular part of the resulting Hamiltonian. We show that itdescribes the motion of the particle on N-2-dimensional sphere interactingwith NN-1-2 force centers with Higgs oscillator potential. In the case offour-particle system these force centers define the vertexes of an Archimedeansolid called cuboctahedron.



Autor: T. Hakobyan, A. Nersessian, V. Yeghikyan

Fuente: https://arxiv.org/



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