Poisson Equation in 4 Dimensional Minkowski Space-time

A lot of punch packed into few equations, in a very elegant way.
From classical Electrostatics, we know that the potential is fully described by the Poisson' s equation, which relates it to the charge density; however, in 4-dimensional spacetime we have to adapt Poisson's eq to include the time (t) variable, finding objects such as 4-potentials and 4-currents.
In this notebook I show you how, in a quite simple way.

Tags: Poisson equation, potential, time, Lorentz transformation, Lorenz gauge, four-vector, 4-potential, 4-current.

Google Drive folder with downloadable file: https://drive.google.com/folderview?id=0B36YNo_GwIhxb1F4TkVFdEtsY0U&usp=sharing
Filename: Poisson_4D.nb