Noncommutative Kepler Dynamics: symmetry groups and bi-Hamiltonian structures
Mathematical Physics
2021-09-03 v1 math.MP
Abstract
Integrals of motion are constructed from noncommutative (NC) Kepler dynamics, generating and dynamical symmetry groups. The Hamiltonian vector field is derived in action-angle coordinates, and the existence of a hierarchy of bi-Hamiltonian structures is highlighted. Then, a family of Nijenhuis recursion operators is computed and discussed.
Keywords
Cite
@article{arxiv.2109.00611,
title = {Noncommutative Kepler Dynamics: symmetry groups and bi-Hamiltonian structures},
author = {Mahouton Norbert Hounkonnou and Mahougnon Justin Landalidji and Melanija Mitrovic},
journal= {arXiv preprint arXiv:2109.00611},
year = {2021}
}