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Results tagged with lagrangian-formalism
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user 222052
For questions involving the Lagrangian formulation of a dynamical system. Namely, the application of an action principle to a suitably chosen Lagrangian or Lagrangian Density in order to obtain the equations of motion of the system.
1
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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:
$$L' = L + e(\partial_{t}\phi + \vec \nabla\phi \cdot …
2
votes
3
answers
868
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Help with Invariance of Euler-Lagrange equations under a gauge transformation?
I'm presented with the following question:
From the Lagrangian for a relativistic particle in an electromagnetic field:
$$L=-\frac{m}{\gamma} - eV + e\vec A \cdot \vec v$$
show that the gauge …