Reduction of superintegrable systems: the anisotropic harmonic oscillator.
نویسندگان
چکیده
We introduce a 2N-parametric family of maximally superintegrable systems in N dimensions, obtained as a reduction of an anisotropic harmonic oscillator in a 2N-dimensional configuration space. These systems possess closed bounded orbits and integrals of motion which are polynomial in the momenta. They generalize known examples of superintegrable models in the Euclidean plane.
منابع مشابه
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عنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 78 4 Pt 2 شماره
صفحات -
تاریخ انتشار 2008