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Update 2022-02-09 07:44

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Jean-Sébastien
2022-02-09 07:44:58 +01:00
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<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-02-08 Tue 17:21 -->
<!-- 2022-02-09 Wed 07:31 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1616,7 +1616,7 @@ Table of contents
</ul>
</details>
</nav>
<ul class="navigation-links"><li>Prev:&nbsp;<a href="red_rem_Ltf.html">Lorentz Transformation of Electromagnetic Fields&emsp;<small>[red.rem.Ltf]</small></a></li><li>Next:&nbsp;<a href="red_rem_Me.html">Maxwell's Equations in Relativistic Notation&emsp;<small>[red.rem.Me]</small></a></li><li>Up:&nbsp;<a href="red_rem.html">Relativistic Electromagnetism&emsp;<small>[red.rem]</small></a></li></ul><div id="outline-container-red_rem_Fmunu" class="outline-4">
<ul class="breadcrumbs"><li><a class="breadcrumb-link"href="red.html">Relativistic Electrodynamics</a></li><li><a class="breadcrumb-link"href="red_rem.html">Relativistic Electromagnetism</a></li><li>The Field Tensor</li></ul><ul class="navigation-links"><li>Prev:&nbsp;<a href="red_rem_Ltf.html">Lorentz Transformation of Electromagnetic Fields&emsp;<small>[red.rem.Ltf]</small></a></li><li>Next:&nbsp;<a href="red_rem_Me.html">Maxwell's Equations in Relativistic Notation&emsp;<small>[red.rem.Me]</small></a></li><li>Up:&nbsp;<a href="red_rem.html">Relativistic Electromagnetism&emsp;<small>[red.rem]</small></a></li></ul><div id="outline-container-red_rem_Fmunu" class="outline-4">
<h4 id="red_rem_Fmunu">The Field Tensor<a class="headline-permalink" href="./red_rem_Fmunu.html#red_rem_Fmunu"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
<path d="M6.354 5.5H4a3 3 0 0 0 0 6h3a3 3 0 0 0 2.83-4H9c-.086 0-.17.01-.25.031A2 2 0 0 1 7 10.5H4a2 2 0 1 1 0-4h1.535c.218-.376.495-.714.82-1z"/>
<path d="M9 5.5a3 3 0 0 0-2.83 4h1.098A2 2 0 0 1 9 6.5h3a2 2 0 1 1 0 4h-1.535a4.02 4.02 0 0 1-.82 1H12a3 3 0 1 0 0-6H9z"/>
@@ -1692,7 +1692,7 @@ how the nonvanishing elements of an antisymmetric tensor transform:
<p>
Comparing with the transformation rules for the electromagnetic field which we obtained in (\ref{eq:EMFieldsLorentzTransfo}), we can define the
</p>
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<div class="core div" id="org58b0652">
<p>
{\bf Electromagnetic Field Tensor}
\[
@@ -1708,7 +1708,7 @@ Comparing with the transformation rules for the electromagnetic field which we o
<p>
together with the handy
</p>
<div class="main div" id="org54e2473">
<div class="main div" id="orga797fb8">
<p>
{\bf Dual Field Tensor}
\[
@@ -1732,7 +1732,7 @@ obtained from the field tensor by the substitution
<p>
Our electromagnetic field transformation laws then become the simple
</p>
<div class="core div" id="org1eec6b9">
<div class="core div" id="org4a566d6">
<p>
{\bf Lorentz Transformation Rules for EM Fields}
\[
@@ -1747,10 +1747,21 @@ Our electromagnetic field transformation laws then become the simple
<hr><div id="postamble" class="status">
<hr>
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target="_blank" class="m-2">
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src="https://licensebuttons.net/l/by/4.0/80x15.png"/>
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Except where otherwise noted, all content is licensed under a
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
target="_blank">Creative Commons Attribution 4.0 International License</a>.
</div>
<div id="postamble" class="status">
<p class="author">Author: Jean-Sébastien Caux</p>
<p class="date">Created: 2022-02-08 Tue 17:21</p>
<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
<p class="date">Created: 2022-02-09 Wed 07:31</p>
<p class="validation"></p>
</div>