Article ID Journal Published Year Pages File Type
1898885 Physica D: Nonlinear Phenomena 2008 5 Pages PDF
Abstract

We present a novel Hamiltonian system in nn dimensions which admits the maximal number 2n−12n−1 of functionally independent, quadratic first integrals. This system turns out to be the first example of a maximally superintegrable Hamiltonian on an nn-dimensional Riemannian space of nonconstant curvature, and it can be interpreted as the intrinsic Smorodinsky–Winternitz system on such a space. Moreover, we provide three different complete sets of integrals in involution and solve the equations of motion in closed form.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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