Prove that $\mathbf{E}^2-\mathbf{B}^2$ and $\mathbf{E}\cdot\mathbf{B}$ are the only two independent Lorentz invariant quantities
101944
Fundamental invariants of the electromagnetic field
83824
Are energy and momentum separable for EM waves
66500
Proving that orthogonal vectors are linearly independent
130752
Can we treat $\psi^{c}$ as a field independent from $\psi$?
56379
Why does photon have only two possible eigenvalues of helicity?
37598
Deriving the Lorentz force from velocity dependent potential
126388
Derivation of Lorentz Transformations
108657
Cross product of the quantum mechanical operators $\textbf{p}$ and $\textbf{A}$
9003
prove $\frac{1}{2}\mathbf{\nabla (u \cdot u) = u \times (\nabla \times u ) + (u \cdot \nabla)u}$ using index notation
49759
Proving that $i\hbar\frac{\partial}{\partial \mathbf{p}}$ is the operator of $\mathbf{x}$ in momentum space
59804
Show that the plane $\{su+tv|s,t \in\Bbb R\}$ in $\Bbb R^3$ is equal to the null space of some element of $(\Bbb R^3)^{*}$.
89479
Galilean invariance of a subset of Maxwell equations
127620
Matrix exponential of a traceless $2\times2$ complex matrix
61070
Lorentz invariance of the integration measure
152446
Noether's Theorem and scale invariance
140184
Why all theories are Lorentz invariant?
109228
Prove that $v, Tv, T^2v, ... , T^{m-1}v$ is linearly independent