# Maximal superintegrability of the generalized Kepler–Coulomb system on N-dimensional curved spaces

@article{Ballesteros2009MaximalSO, title={Maximal superintegrability of the generalized Kepler–Coulomb system on N-dimensional curved spaces}, author={{\'A}ngel Ballesteros and Francisco J. Herranz}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2009}, volume={42}, pages={245203} }

The superposition of the Kepler–Coulomb potential on the 3D Euclidean space with three centrifugal terms has recently been shown to be maximally superintegrable (Verrier and Evans 2008 J. Math. Phys. 49 022902) by finding an additional (hidden) integral of motion which is quartic in the momenta. In this paper, we present the generalization of this result to the N-dimensional spherical, hyperbolic and Euclidean spaces by making use of a unified symmetry approach that makes use of the curvature…

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