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arXiv · 1712.07321

On superintegrable systems separable in Cartesian coordinates

Yu. A. Grigoriev·A. V. Tsiganov
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Abstract

We continue the study of superintegrable systems of Thompson's type separable in Cartesian coordinates. An additional integral of motion for these systems is the polynomial in momenta of N-th order which is a linear function of angle variables and the polynomial in action variables. Existence of such superintegrable systems is naturally related to the famous Chebyshev theorem on binomial differentials.

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Yu. A. Grigoriev, A. V. Tsiganov. 2018-04-02. On superintegrable systems separable in Cartesian coordinates. https://doi.org/10.1016/j.physleta.2018.05.039

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