Kohn's theorem and Newton-Hooke symmetry for Hill's equations
High Energy Physics - Theory
2012-02-27 v3 Astrophysics of Galaxies
General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
Hill's equations, which first arose in the study of the Earth-Moon-Sun system, admit the two-parameter centrally extended Newton-Hooke symmetry without rotations. This symmetry allows for extending Kohn's theorem about the center-of-mass decomposition. Particular light is shed on the problem using Duval's "Bargmann" framework. The separation of the center-of-mass motion into that of a guiding center and relative motion is derived by a generalized chiral decomposition.
Keywords
Cite
@article{arxiv.1112.4793,
title = {Kohn's theorem and Newton-Hooke symmetry for Hill's equations},
author = {P. M. Zhang and G. W. Gibbons and P. A. Horvathy},
journal= {arXiv preprint arXiv:1112.4793},
year = {2012}
}
Comments
Published version. 22 pages 1 figure