Relativistic effects in the dynamics of a particle in a Coulomb field

Published 2 Aug 2024 in math.DS, math-ph, and math.MP | (2408.01260v1)

Abstract: We prove that Bertrand's property cannot occur in a special-relativistic scenario using the properties of the period function of planar centres. We also explore some integrability properties of the relativistic Coulomb problem and the asymptotic behavior of collision solutions.

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