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physics.class-ph2025
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…
physics.class-ph2025
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…
physics.class-ph2024
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…