Rotations and Integrability
Year: 2024
Type: article
Abstract: We discuss some families of integrable and superintegrable systems in $$n$$ -dimensional Euclidean space which are invariant under $$m\geqslant n-2$$ rotations. The invariant Hamiltonian $$H=\sum p_{i}^{2}+V(q)$$ is integrable with $$n-2$$ integrals of motion $$M_{\alpha}$$ and an additional integral of motion $$G$$ , which are first- and fourth-order polynomials in momenta, respectively.
Source: Regular and Chaotic Dynamics
Author: Andrey V. Tsiganov
Institutions: Russian Academy of Sciences, Steklov Mathematical Institute
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4404941731