4 papers · 1 filter
Note on Jackson's formalism of gauge transformation
V. Hnizdo
An outline is given of how Jackson may have obtained the inhomogeneous wave equations for the auxiliary functions and in his influential 2002 AJP paper on the transfor…
Novel distributional Laplacians and a Coulomb-gauge problem
V. Hnizdo, G. Vaman
Novel distributional Laplacians of an arsinh function and a related logarithm function are derived. The method used to establish the former result is employed in a calculation of t…
Note on the transformation from the Lorenz gauge to the Coulomb gauge
V. Hnizdo, G. Vaman
There is a simple formula for the gauge function of the transformation from the Lorenz gauge to the Coulomb gauge, valid under a condition that is satisfied by some charge densitie…
Potentials and fields of a charge set suddenly from rest into uniform motion
V. Hnizdo, G. Vaman
The fact that electromagnetic effects propagate at the speed of light suggests how the Lorenz-gauge scalar and vector potentials of a uniformly moving point charge must be modified…