The Lorentz Group, a Galilean Approach
Physics Education
2007-05-23 v1 General Physics
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
Cite
@article{arxiv.physics/0307106,
title = {The Lorentz Group, a Galilean Approach},
author = {D. Jaramillo and N. Vanegas},
journal= {arXiv preprint arXiv:physics/0307106},
year = {2007}
}
Comments
LaTeX, 15 pages