148 citations · 200 across the 8 of their papers we have counts for
4 papers · 1 filter
A Magnetic Velocity Verlet Method
A. Chambliss, J. Franklin
We discuss an extension of the velocity Verlet method that accurately approximates the kinetic-energy-conserving charged particle motion that comes from magnetic forcing. For a uni…
The Fields of a Charged Particle in Hyperbolic Motion
Joel Franklin, David J. Griffiths
A particle in hyperbolic motion produces electric fields that appear to terminate in mid-air, violating Gauss's law. The resolution to this paradox has been known for sixty years,…
The Motion of a Pair of Charged Particles
J. Franklin, C. LaMont
We re-visit the problem of two (oppositely) charged particles interacting electromagnetically in one dimension with retarded potentials and no radiation reaction. The specific quan…
Charged Radial Infall for Spherical Central Bodies
J. Franklin, F. Morton-Park
A massive, charged, spherical central body can be neutralized by attracting particles of opposite charge. We calculate the time it takes to neutralize these central bodies using cl…