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formulas:lorentz_force_law
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$ \vec F= q \vec E + q\vec v \times \vec B$
Lorentz Force Law
Intuitive
The Lorentz force law completes classical electromagnetic and describes the effect of electric and magnetic fields on a point charge.
In addition, the Maxwell equations tells us how charges give rise to electric and magnetic fields.
Concrete
In this section things should be explained by analogy and with pictures and, if necessary, some formulas.
Abstract
The classical mechanics of an electron propagating in an electromagnetic field on a spacetime X is all encoded in a differential 2-form on X, called the Faraday tensor F, which encodes the classical Lorentz force that the electromagnetic field exerts on the electron.https://arxiv.org/abs/1601.05956
For a derivation, using the Ehrenfest theorem, see http://www.physics.drexel.edu/~bob/PHYS517/Ehrenfest.pdf
Why is it interesting?
formulas/lorentz_force_law.1522235817.txt.gz · Last modified: 2018/03/28 11:16 (external edit)
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