dorsal/arxiv
View SchemaThe Lorentz Group, a Galilean Approach
| Authors | D. Jaramillo, N. Vanegas |
|---|---|
| Categories | |
| ArXiv ID | physics/0307106 |
| URL | https://arxiv.org/abs/physics/0307106 |
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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"abstract": "We present a pedagogical approach to the Lorentz group. We start by\nintroducing a compact notation to express the elements of the fundamental\nrepresentation of the rotations group.Lorentz coordinate transformations are\nderived in a novel and compact form. We show how to make a Lorentz\ntransformation on the electromagnetic fields as well. A covariant\ntime-derivative is introduced in order to deal with non-inertial systems.\nExamples of the usefulness of these results such as the rotating system and the\nThomas precession, are also presented",
"arxiv_id": "physics/0307106",
"authors": [
"D. Jaramillo",
"N. Vanegas"
],
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"title": "The Lorentz Group, a Galilean Approach",
"url": "https://arxiv.org/abs/physics/0307106"
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