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Update 2022-03-15 10:07

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Jean-Sébastien
2022-03-15 10:07:27 +01:00
parent 4808df71e6
commit 55f0de8197
193 changed files with 2416 additions and 2082 deletions
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build/emf_g.html
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-03-07 Mon 20:38 -->
<!-- 2022-03-15 Tue 08:10 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1310,10 +1310,6 @@ Table of contents
</summary>
<ul>
<li>
<a href="./d_m.html#d_m">Diagnostics: Mathematical Preliminaries</a><span class="headline-id">d.m</span>
</li>
<li>
<a href="./d_ems.html#d_ems">Diagnostics: Electromagnetostatics</a><span class="headline-id">d.ems</span>
</li>
@@ -1352,6 +1348,10 @@ Table of contents
<li>
<a href="./d_red.html#d_red">Diagnostics: Relativistic Electrodynamics</a><span class="headline-id">d.red</span>
</li>
<li>
<a href="./d_m.html#d_m">Diagnostics: Compendium - Mathematics</a><span class="headline-id">d.m</span>
</li>
</ul>
@@ -1621,10 +1621,10 @@ When rewriting our fields into potentials, we passed from six unknowns (the thre
<p>
There is however a certain ambiguity left when representing fields in terms of potentials. Namely, it is easy to verify that new fields
\[
V^\prime = V - \frac{\partial \lambda}{\partial t}, \hspace{10mm}
\phi^\prime = \phi - \frac{\partial \lambda}{\partial t}, \hspace{10mm}
{\boldsymbol A}^\prime = {\boldsymbol A} + {\boldsymbol \nabla} \lambda
\]
give the same \({\boldsymbol E}\) and \({\boldsymbol B}\) fields as \(V, {\boldsymbol A}\) for any scalar function \(\lambda ({\boldsymbol r}, t)\).
give the same \({\boldsymbol E}\) and \({\boldsymbol B}\) fields as \(\phi, {\boldsymbol A}\) for any scalar function \(\lambda ({\boldsymbol r}, t)\).
</p>
<p>
@@ -1657,7 +1657,7 @@ 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: 2022-03-07 Mon 20:38</p>
<p class="date">Created: 2022-03-15 Tue 08:10</p>
<p class="validation"></p>
</div>