Maxwells Equations
Overview
Tensor Formulation
The electromagnetic tensor {% F_{\mu \nu} %} is defined as
{% F_{\mu \nu} = \begin{bmatrix}
0 & -E_x/c & -E_y/c & -E_z/c \\
E_x/c & 0 & -B_z & B_y \\
E_y/c & B_z & 0 & -B_x \\
E_z/c & -B_y & B_x & 0 \\
\end{bmatrix} %}
Then Maxwells equations can be written as a single equation
{% \partial_{\mu}{F^{\mu \nu}} = \frac{\partial{}}{\partial{x^{\mu}}} F^{\mu \nu} = j^{\nu} %}
