I need help identifying the following equations in physics. Most equations are related to quantum mechanics, a few is from relativity and electromagnetism.

Thanks
I need help identifying the following equations in physics. Most equations are related to quantum mechanics, a few is from relativity and electromagnetism.

Thanks
I like a quiz so I'll have a go:
The first one is an equation related to scattering cross section.
Second one is quantum mechanics: a creation operator acting on a state giving a new state.
Third one is quantum mechanics: the angular momentum operator acting on a state giving a new state.
Forth one is the relation between an operator in the Schrodinger picture vs the Heisenberg picture.
Number five is the equation for the Hamiltonian (see also Hamiltonian in QM).
Number six is special relativity. The relation between time and space coordinates in two frames moving relative to each other.
Number seven is an equation for the relativistic energy of a particle.
Number eight is the relation for the electric field in terms of the four-potential.