Newton-Hooke type symmetry of anisotropic oscillators
High Energy Physics - Theory
2015-06-05 v3
Abstract
The rotation-less Newton--Hooke - type symmetry found recently in the Hill problem and instrumental for explaining the center-of-mass decomposition is generalized to an arbitrary anisotropic oscillator in the plane. Conversely, the latter system is shown, by the orbit method, to be the most general one with such a symmetry. Full Newton-Hooke symmetry is recovered in the isotropic case. Star escape from a Galaxy is studied as application.
Keywords
Cite
@article{arxiv.1207.2875,
title = {Newton-Hooke type symmetry of anisotropic oscillators},
author = {P. M. Zhang and P. A. Horvathy and K. Andrzejewski and J. Gonera and P. Kosinski},
journal= {arXiv preprint arXiv:1207.2875},
year = {2015}
}
Comments
Updated version with more figures added. 34 pages, 7 figures. Dedicated to the memory of J.-M. Souriau, deceased on March 15 2012, at the age of 90