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HNQ
1:06 AM
2
Q: Mechanical gauge transformation and energy conservation

electron'tI'm studying lagrangian mechanics, and there's a property where you could obtain an equivalent lagrangian $\mathcal{L'}$ from $\mathcal{L}$ by adding a function which satisfies: $$ \mathcal{L'}\rightarrow \mathcal{L}+\frac{df(q,t)}{dt}.$$ This lagrangian $L'$ would give rise to the same equations...

 
 
16 hours later…
HNQ
4:42 PM
2
Q: Why is it natural to make the electromagnetic field an antisymmetric, rank 2 tensor?

Baylee VAs far as I know, the electromagnetic field strength tensor is defined to be the simplest object involving the electric and magnetic fields that transforms properly under Lorentz transformations. However, I don't get why such an object should be an antisymmetric rank $(2, 0)$ tensor, in a mathema...

 

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