Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8203102 | Physics Letters A | 2018 | 5 Pages |
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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Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Yu.A. Grigoriev, A.V. Tsiganov,