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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.

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 …
Frankie S. Palmer's user avatar
2 votes
3 answers
868 views

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 …
Frankie S. Palmer's user avatar