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On Superintegrable Systems with a Cubic Integral of Motion *Supported by the National Natural Science Foundation of China under Grant Nos. 11771352 and 11371293. (January 2018)
Record Type:
Journal Article
Title:
On Superintegrable Systems with a Cubic Integral of Motion *Supported by the National Natural Science Foundation of China under Grant Nos. 11771352 and 11371293. (January 2018)
Main Title:
On Superintegrable Systems with a Cubic Integral of Motion *Supported by the National Natural Science Foundation of China under Grant Nos. 11771352 and 11371293
Abstract: We present a variety of superintegrable systems in polar coordinates possessing a cubic and a quadratic integral of motion, where Noether integrals of kinetic energy are used to build the integrals. In addition, the associated polynomial Poisson algebras with their algebraic dependence relations are exhibited.