Maximally superintegrable Smorodinsky–Winternitz systems on the 𝑁-dimensional sphere and hyperbolic spaces
Maximally superintegrable Smorodinsky–Winternitz systems on the 𝑁-dimensional sphere and hyperbolic spaces
The classical Smorodinsky-Winternitz systems on the ND sphere, Euclidean and hyperbolic spaces S^N, E^N and H^N are simultaneously approached starting from the Lie algebras so_k(N+1), which include a parametric dependence on the curvature k. General expressions for the Hamiltonian and its integrals of motion are given in terms of intrinsic …