On Superintegrable Systems with a Cubic Integral of Motion

• 来源期刊: 理论物理通讯（英文版）
• 年，卷（期）: 2018,（1）
• 页码范围: 9-13
• 页数: 5页
• 语种: 英文
• DOI: 10.1088/0253-6102/69/1/9

摘要

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.