Kohn's theorem and Newton-Hooke symmetry for Hill's equations

Details Kohn's theorem and Newton-Hooke symmetry for Hill's equations Kohn's theorem and Newton-Hooke symmetry for Hill's equations

2011-12-20

arxiv.org/abs/1112.4793v3

Phys. Rev. {\bf D85} (2012) 045031

Physics

High Energy Physics

High Energy Physics - Theory

Published version. 22 pages 1 figure

Scientific paper

10.1103/PhysRevD.85.045031

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.

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