The Lorentz Group, a Galilean Approach

Details The Lorentz Group, a Galilean Approach The Lorentz Group, a Galilean Approach

2003-07-22

arxiv.org/abs/physics/0307106v1

Physics

Physics Education

LaTeX, 15 pages

Scientific paper

We present a pedagogical approach to the Lorentz group. We start by introducing a compact notation to express the elements of the fundamental representation of the rotations group.Lorentz coordinate transformations are derived in a novel and compact form. We show how to make a Lorentz transformation on the electromagnetic fields as well. A covariant time-derivative is introduced in order to deal with non-inertial systems. Examples of the usefulness of these results such as the rotating system and the Thomas precession, are also presented

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