2024/01/30 by Carimalo, Christian
#Classical Physics (physics.class-ph) #FOS: Physical sciences
paper · doi:10.48550/arxiv.2401.17021
It is shown that all spherical symmetric potentials are capable of producing dynamical symmetries in classical one-body motions, thanks to the inevitable existence of symmetry axes associated with turning points for corresponding trajectories. This will definitely expand the class of maximally superintegrable one-body motions in central potentials that until now was considered to include only the Newtonian and Hookean cases. A simple method is proposed to identify and characterize these dynamical symmetries.