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Classical Dynamical Symmetries and Geometry of Trajectories

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arxiv 2401.17021 v3 pith:BH32JJ3Z submitted 2024-01-30 physics.class-ph

Christian Carimalo This is my paper · ORCID
classification physics.class-ph
keywords dynamicalsymmetriesclassicalmotionsone-bodypotentialstrajectoriesassociated
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. About the Keplerization of motion in any central force field

    physics.class-ph 2025-01 reject novelty 4.0 of 10

    A reformulation of keplerization for any central force motion, with an unsupported claim that every such motion carries an extra conserved vector.

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