Maxwell's Equations of Electromagnetism

Maxwell's Equations are written in terms of vector fields.

Coordinates and indices

First we define the variables:

Fields

We can represent the fields in various ways, for example as vectors of fields (E) or as fields of vectors (E') (or as a new vector-field type).
We can define the energy as:

Maxwell's equations

Example

Using a specific scalar field

4D Formalism

Using the 4-vector potential. To do... $$\sqrt{1}$$