Friday, July 13, 2012

1207.2875 (P. M. Zhang et al.)

Newton-Hooke type symmetry of anisotropic oscillators    [PDF]

P. M. Zhang, P. A. Horvathy, K. Andrzejewski, J. Gonera, P. Kosinski
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.
View original: http://arxiv.org/abs/1207.2875

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