The anisotropic Higgs oscillator on the two-dimensional sphere and the hyperbolic plane

In this paper (arXiv:1207.0071) a new integrable generalization on the two-dimensional sphere and the hyperbolic plane of the Euclidean anisotropic oscillator Hamiltonian with “centrifugal” terms is presented. The dynamical features arising from the introduction of a curved background are highlighted, and the superintegrability properties of the Hamiltonian are studied.

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