Factorization approach to superintegrable systems: Formalism and applications
Mathematical Physics
2017-04-18 v2 math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Keywords
Cite
@article{arxiv.1512.06610,
title = {Factorization approach to superintegrable systems: Formalism and applications},
author = {Angel Ballesteros and Francisco J. Herranz and Sengul Kuru and Javier Negro},
journal= {arXiv preprint arXiv:1512.06610},
year = {2017}
}
Comments
15 pages, 3 figures. Minor corrections. Based on the contribution presented at "The IX International Symposium on Quantum Theory and Symmetries" (QTS-9), July 13-18, 2015, Yerevan, Armenia