Factorization approach to superintegrable systems: Formalism and applications

Research paper by Angel Ballesteros, Francisco J. Herranz, Sengul Kuru, Javier Negro

Indexed on: 29 Feb '16Published on: 29 Feb '16Published in: Mathematical Physics


The factorization technique for superintegrable Hamiltonian systems is revisited and applied in order to obtain additional (higher-order) constants of the motion. In particular, the factorization approach to the classical anisotropic oscillator on the Euclidean plane is reviewed, and new classical (super)integrable anisotropic oscillators on the sphere are constructed. The Tremblay-Turbiner-Winternitz system on the Euclidean plane is also studied from this viewpoint.