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I have just started to read about the Relativity part of Maxwell's equations and would like to get some clarification from any one here were I can discuss and/or get answers in a more " every day life " way of writing.

1) What is the most simple way of transforming Maxwells equations into a Covariant form? I know that it is done by using four-vectors/tensors but how is it actually done?

2) I know that from Lorents Transformation, that magnetic and electric fields are simply different aspects of the same force. Also that when looking from a frame either in rest or moving, in reference to charged particles we get 2 different results, an electric field and an magnetic field. What I would like to know is if there is a quick way of showing that this is true ? Like a set of equations so that when put in a moving frame you get the Dimensions of a Magnetic field.

3) How do I prove in the most simple way how the Lorentz invariance ( invariant ) is true for Maxwell's Equation.

What I know is this:

Quantities which remain the same under Lorentz transformations are said to be Lorentz invariant.

According to the representation theory of the Lorentz group, Lorentz covariant quantities are built out of scalars, four-vectors, four-tensors, and spinors.

How do I use this knowledge ( if I even should ) to confirm that Maxwell's equations is L. invariance

Thanks!

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# Help with the basics of Maxwell and Lorentz equations

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