Note on the transformation from the Lorenz gauge to the Coulomb gauge
V. Hnizdo, G. Vaman
TL;DR
This paper derives a simple formula for transforming the electromagnetic potentials from the Lorenz gauge to the Coulomb gauge, clarifying conditions under which it applies and providing an alternative derivation to Jackson's formula.
Contribution
It presents a straightforward formula for the gauge transformation between Lorenz and Coulomb gauges and offers an alternative derivation to existing results.
Findings
Derived a simple gauge transformation formula.
Identified conditions for the formula's validity.
Provided an alternative derivation to Jackson's formula.
Abstract
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 densities employed in the literature. An equation for the gauge function of this transformation that is alternative but equivalent to a formula of Jackson is derived also.
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Taxonomy
TopicsAtomic and Subatomic Physics Research · Quantum and Classical Electrodynamics · Geophysics and Sensor Technology