Dynamics on the cone: closed orbits and superintegrability
Mathematical Physics
2015-06-17 v2 math.MP
Quantum Physics
Abstract
The generalization of Bertrand's theorem to the case of the motion of point particle on the surface of a cone is presented. The superintegrability of such models is discussed. The additional integrals of motion are analyzed for the case of Kepler and harmonic oscillator potentials.
Cite
@article{arxiv.1310.3081,
title = {Dynamics on the cone: closed orbits and superintegrability},
author = {Y. Brihaye and P. Kosiński and P. Maślanka},
journal= {arXiv preprint arXiv:1310.3081},
year = {2015}
}
Comments
15 pages, 3 figures; some references added, few misprints corrected