Novel distributional Laplacians and a Coulomb-gauge problem

2025/08/29 by Hnizdo, V., Vaman, G. · 1 citation
#Classical Physics (physics.class-ph) #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2509.00282

Abstract

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 the gauge transformation function for the case of a uniformly moving point charge.

Citations

• Note on the transformation from the Lorenz gauge to the Coulomb gauge
• Solutions of the Schrödinger equation, boundary condition at the origin, and theory of distributions
• Potentials of a uniformly moving point charge in the Coulomb gauge

Cited by

• Note on Jackson's formalism of gauge transformation

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