I was reading Fermi's review on Dirac's "Quantum Theory of Radiation", which he published in 1932. I was unable to know why he expressed electric field as the following:
I understand that from Maxwell's equation, electric field can be expressed as:
$$\vec{E}=-\nabla V -\frac{1}{c}\frac{\partial \vec{U}}{\partial t} $$ and the magnetic field as: $$\vec{H} =\nabla \times \vec{U}$$
But in Fermi's expression there seems to be missing the gradient of a potential. I don't understand why is that the case? Or am I missing some concept from the paper? Please help!
I also found that the following;
So, does this mean the slides are in accurate?