A maximally superintegrable system on an n-dimensional space of nonconstant curvature
Mathematical Physics
2008-11-26 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
A novel Hamiltonian system in n dimensions which admits the maximal number 2n-1 of functionally independent, quadratic first integrals is presented. This system turns out to be the first example of a maximally superintegrable Hamiltonian on an n-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.
Keywords
Cite
@article{arxiv.math-ph/0612080,
title = {A maximally superintegrable system on an n-dimensional space of nonconstant curvature},
author = {Angel Ballesteros and Alberto Enciso and Francisco J. Herranz and Orlando Ragnisco},
journal= {arXiv preprint arXiv:math-ph/0612080},
year = {2008}
}
Comments
11 pages