Maximal superintegrability on<i>N</i>-dimensional curved spaces
Maximal superintegrability on<i>N</i>-dimensional curved spaces
A unified algebraic construction of the classical Smorodinsky–Winternitz systems on the ND sphere, Euclidean and hyperbolic spaces through the Lie groups SO(N + 1), ISO(N) and SO(N, 1) is presented. Firstly, general expressions for the Hamiltonian and its integrals of motion are given in a linear ambient space N+1, and …