# The cuboctahedric Higgs oscillator from the rational Calogero model

@article{Hakobyan2008TheCH, title={The cuboctahedric Higgs oscillator from the rational Calogero model}, author={Tigran Hakobyan and Armen Nersessian and Vahagn Yeghikyan}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2008}, volume={42}, pages={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 an (N − 2)-dimensional sphere interacting with N(N − 1)/2 force centers with Higgs oscillator potential. In the case of a four-particle system, these force centers define the vertexes of an Archimedean solid called a cuboctahedron.

## 43 Citations

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- 2014

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- Physics
- 2013

A bstractThe rational Calogero-Moser model of n one-dimensional quantum particles with inverse-square pairwise interactions (in a confining harmonic potential) is reduced along the radial coordinate…

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- 2016

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