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On Two Superintegrable Nonlinear Oscillators in N Dimensions

Authors:

Affiliation:

(1) University of Padova, Padova, Italy

Abstract:

We consider the classical superintegrable Hamiltonian system given by

_boxclose=+= + ,mathcal{H}_{lambda}=mathcal{T}+mathcal{U}=frac{mathbf{p}^2}{2(1+{lambda}mathbf{q}^2)} + frac{ omega^2mathbf{q}^2}{2(1+{lambda}mathbf{q}^2)},

Keywords:
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