Noncommutative Kepler Dynamics: symmetry groups and bi-Hamiltonian structures

Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji, Melanija Mitrovic

Integrals of motion are constructed from noncommutative (NC) Kepler dynamics, generating $SO(3),$ $SO(4),$ and $SO(1,3)$ dynamical symmetry groups. The Hamiltonian vector field is…