Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898885 | Physica D: Nonlinear Phenomena | 2008 | 5 Pages |
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
Authors
Á. Ballesteros, A. Enciso, F.J. Herranz, O. Ragnisco,