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- Convert 1 Tesla to natural units.
- Show that [math]\tilde F_{\mu\nu}F^{\mu\nu}[/math] can be rewritten as [math]\partial_\mu K^\mu[/math].
- What is the vector potential [math]A_\mu[/math] of a static charge at the origin in the axial gauge [math]A_0=V=0[/math] ?
- What is the expression of the energy density and of the momentum density of an electromagnetic field as a function of [math]\vec E[/math] and [math]\vec B[/math]?
- Show that the invariance of electrodynamics w.r.t. rotations leads to angular momentum conservation. Give the expression of the angular momentum of an electromagnetic field.
- Establish the expression of the energy-momentum tensor for a complex scalar field.