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

2025/01/20 by Rafael Ortega, David Rojas · 1 voice · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Quantum chaos and dynamical systems

paper · doi:10.1016/j.physd.2025.134534

openalex publication_date 2025/01/20 · openalex created_date 2025/01/21 · openalex updated_date 2026/08/01

Abstract

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

Cited by

• Bifurcation from periodic solutions of central force problems in the three-dimensional space

Discussions

• New paper out in Physica D R. Ortega & D. Rojas analyse how relativistic effects change the dynamics of a particle in a Coulomb field in a new article in Physica D. Neat bridge between mathematical ph [bsky, 3 points, 0 comments]

Related

• Relativistic effects in the dynamics of a particle in a Coulomb field
• The Relativistic one dimensional Coulomb problem and Relativistic PIMC method
• Relativistic Mechanics and a Special Role for the Coulomb Potential
• Classical limit of the relativistic Vlasov-Maxwell-Landau system
• A Hamiltonian for Relativistic Interacting Many Particles