1. Maxwell’s Equations are Lorentz Invariant

2. Maxwell’s Equations

3. Charge current obeys continuity eqn.
continuity equation,
or charge conservation
charge current
density density

4. Charge current 4-vector
Divergence operator
is invariant under
Lorentz transformations
Define charge current 4-vector

5. E&M potentials Define scalar and vector potentials, and .
this works because
this works because
and

6. The Lorenz condition How are and related? Lorenz condition:
Its divergence is Lorentz invariant
Define potential 4-vector

7. Wave equation for Use the first inhomogeneous eqn to show that obeys
the wave equation, travelling at c.

8. Wave equation for Use the second inhomogeneous eqn to show that obeys
the wave equation, travelling at c.

9. Maxwell’s equations in Lorentz invariant form

10. Maxwell’s Equations Used and to make a charge current 4-vector,
Used and to make a scalar and vector potentials, and
Used and to make a 4-potential,

11. E&M field tensor