### Diagnostics: Relativistic Electrodynamics
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Fundamentals: After properly studying this module, you should be able to:

- state the postulates of Special Relativity
- give the definition of the time dilation factor \(\gamma\)
- state the formula for Lorentz contraction
- write down the Minkowski metric
- explain invariant intervals, spacelike, timelike and lightlike intervals
- give the definition of the proper velocity
- define the four-velocity and the energy-momentum four-vector
- write down the electromagnetic field tensor
- state its Lorentz transformation rules
- give the definition of the current density four-vector
- state the continuity equation in tensor notation
- state Maxwell's equations (Lorenz gauge, four-vector notation)

Applications: As a strict minimum, you should be able to:

- rederive the formula for a Lorentz transformation for motion along a given axis
- rederive the formula for motion under a constant force
- rederive law for Lorentz transformation of EM fields

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Author: Jean-Sébastien Caux

Created: 2022-03-24 Thu 08:42