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On Superintegrable Systems with a Cubic Integral of Motion |
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| Authors: | Lin Shang Qing Huang |
| Affiliation: | School of Mathematics, Northwest University, Xi'an 710069, China;Center for Nonlinear Studies, Northwest University, Xi'an 710069, China |
| 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. |
| Keywords: | Hamiltonian system super-integrability cubic integral quadratic integral Poisson algebra |
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