Can we derive the Lorentz force from Maxwell's equations?
Valery P. Dmitriyev
TL;DR
This paper explores whether the Lorentz force can be derived solely from Maxwell's equations, assuming known electric forces and perpendicular magnetic components, highlighting foundational aspects of electromagnetic theory.
Contribution
It demonstrates the conditions under which the Lorentz force can be derived from Maxwell's equations in the Coulomb gauge.
Findings
Lorentz force derivation depends on specific assumptions.
Magnetic component must be perpendicular to particle velocity.
Electric force component must be known beforehand.
Abstract
The Lorentz force can be obtained from Maxwell's equations in the Coulomb gauge provided that we assume that the electric portion of the force acted on a charge is known, and the magnetic component is perpendicular to the velocity of motion of the charged particle.
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Taxonomy
TopicsQuantum and Classical Electrodynamics · Computational Physics and Python Applications · Experimental and Theoretical Physics Studies