2 papers
physics.class-ph2026
Lissajous-type orbits on a sphere and their non-Riemannian geometry
César Simón López-Monsalvo, Sergio Islas-Ramírez, Alberto Rubio Ponce
A charged test particle is confined to the round sphere in a uniform ambient magnetic field. We reduce its motion to quadrature by elementary means and solve explicitly the family…
physics.class-ph2021
The geometry of electromagnetic curves on Riemannian manifolds
Sergio Islas-Ramirez, Cesar S. Lopez-Monsalvo, Jose Antonio Eduardo Roa-Neri
We present a concise definition of an electromagnetic curve on a Riemannian manifold and illustrate the explicit case of the motion of a charged particle on the unit sphere under t…