The Lorentz Group, a Galilean Approach

D. Jaramillo; N. Vanegas

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The Lorentz Group, a Galilean Approach

D. Jaramillo·N. Vanegas

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Abstract

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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D. Jaramillo, N. Vanegas. 2003-07-22. The Lorentz Group, a Galilean Approach. https://arxiv.org/abs/physics/0307106

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