On superintegrable systems separable in Cartesian coordinates
Exactly Solvable and Integrable Systems
2018-07-04 v2 Mathematical Physics
Dynamical Systems
math.MP
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.
Keywords
Cite
@article{arxiv.1712.07321,
title = {On superintegrable systems separable in Cartesian coordinates},
author = {Yu. A. Grigoriev and A. V. Tsiganov},
journal= {arXiv preprint arXiv:1712.07321},
year = {2018}
}
Comments
8 pages, LaTeX with AMS fonts, with corrected misprints