Reduction of superintegrable systems: the anisotropic harmonic oscillator
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🧮 math-ph
math.MP
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superintegrablesystemsanisotropicharmonicoscillatorreductionboundedclosed
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We introduce a new 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.
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