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Results tagged with electromagnetism
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user 222052
The classical theory of electric and magnetic fields, both in the static and dynamic case. It also covers general questions about magnets, electric attraction/repulsion, etc. Distinct from electrical-engineering.
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Help with Invariance of Euler-Lagrange equations under a gauge transformation?
I'm presented with the following question:
From the Lagrangian for a relativistic particle in an electromagnetic field:
$$L=-\frac{m}{\gamma} - eV + e\vec A \cdot \vec v$$
show that the gauge …
1
vote
Help with Invariance of Euler-Lagrange equations under a gauge transformation?
Ok, so after many months I could finally come back to this and answer the problematic section properly.
Starting from the transformed Lagrangian:
$$L' = L + e(\partial_{t}\phi + \vec \nabla\phi \cdot …