148 citations · 200 across the 8 of their papers we have counts for
8 papers
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 Dynamics of the Schrodinger-Newton System with Self-Field Coupling
J. Franklin, Y. Guo, K. Cole Newton +1
We probe the dynamics of a modified form of the Schrodinger-Newton system of gravity coupled to single particle quantum mechanics. At the masses of interest here, the ones associat…
The Schrodinger-Newton System with Self-Field Coupling
J. Franklin, Y. Guo, A. McNutt +1
We study the Schrodinger-Newton system of equations with the addition of gravitational field energy sourcing - such additional nonlinearity is to be expected from a theory of gravi…
Self-Consistent, Self-Coupled Scalar Gravity
Joel Franklin
A scalar theory of gravity extending Newtonian gravity to include field energy as its source is developed. The physical implications of the theory are probed through its sphericall…
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…