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

2024/08/02 by Rafael Ortega, Ortega, Rafael, David Rojas +1
Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Applications #Quantum and Classical Electrodynamics

paper · pdf · doi:10.48550/arxiv.2408.01260

openalex publication_date 2024/08/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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