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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@@ -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>
@@ -1629,14 +1629,14 @@ can thus be written
\]
Explicitly, the first few terms are (letting \(\hat{\bf r} \cdot \hat{\bf r}_s = \cos \theta\))
</p>
<div class="eqlabel" id="orgb783834">
<div class="eqlabel" id="org7ea630d">
<p>
<a id="A_Leg"></a><a href="./ems_ms_vp_me.html#A_Leg"><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"/>
</svg></a>
</p>
<div class="alteqlabels" id="org7cfeed1">
<div class="alteqlabels" id="orgf544c92">
<ul class="org-ul">
<li>Gr (5.80)</li>
</ul>
@@ -1663,14 +1663,14 @@ monopoles (also from Maxwell's equation <a href="./ems_ms_dcB_d.html#divB0">divB
<p>
The dominant term is thus the dipole,
</p>
<div class="eqlabel" id="org3177483">
<div class="eqlabel" id="org1d49e4f">
<p>
<a id="A_di1"></a><a href="./ems_ms_vp_me.html#A_di1"><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"/>
</svg></a>
</p>
<div class="alteqlabels" id="orge720d21">
<div class="alteqlabels" id="org0f2e926">
<ul class="org-ul">
<li>Gr (5.85)</li>
</ul>
@@ -1685,14 +1685,14 @@ The dominant term is thus the dipole,
\]
Using the identity (see Gr Problem 1.62),
</p>
<div class="eqlabel" id="orgeec59ec">
<div class="eqlabel" id="org62a7346">
<p>
<a id="intcr"></a><a href="./ems_ms_vp_me.html#intcr"><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"/>
</svg></a>
</p>
<div class="alteqlabels" id="org72f674e">
<div class="alteqlabels" id="orga73669a">
<ul class="org-ul">
<li>Gr (1.108)</li>
</ul>
@@ -1709,7 +1709,7 @@ Using the identity (see Gr Problem 1.62),
with \({\bf c} = \hat {\bf r}\),
</p>
<div class="info div" id="orgf235098">
<div class="info div" id="orgd9261d2">
<p>
<b>Parenthesis: derivation of</b> <a href="./ems_ms_vp_me.html#intcr">intcr</a>
</p>
@@ -1752,18 +1752,18 @@ Back to our problem:
\]
and defining the
</p>
<div class="core div" id="org98ff1a4">
<div class="core div" id="org252bb34">
<p>
<b>magnetic dipole moment</b>
</p>
<div class="eqlabel" id="org5f9bf60">
<div class="eqlabel" id="org52e910f">
<p>
<a id="magdim"></a><a href="./ems_ms_vp_me.html#magdim"><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"/>
</svg></a>
</p>
<div class="alteqlabels" id="org61dc942">
<div class="alteqlabels" id="org521ff8a">
<ul class="org-ul">
<li>Gr (5.86)</li>
</ul>
@@ -1782,18 +1782,18 @@ and defining the
<p>
we obtain the convenient expression for the
</p>
<div class="main div" id="org335e87a">
<div class="main div" id="org919de64">
<p>
<b>dipole term of the vector potential</b>
</p>
<div class="eqlabel" id="org211bc41">
<div class="eqlabel" id="orga93a621">
<p>
<a id="A_di"></a><a href="./ems_ms_vp_me.html#A_di"><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"/>
</svg></a>
</p>
<div class="alteqlabels" id="org12c378d">
<div class="alteqlabels" id="orgc5bc8d7">
<ul class="org-ul">
<li>Gr (5.85)</li>
</ul>
@@ -1810,7 +1810,7 @@ we obtain the convenient expression for the
</div>
<div class="example div" id="org3da15bb">
<div class="example div" id="org6a86d5a">
<p>
<b>Example: bookend shape</b>
</p>
@@ -1864,7 +1864,7 @@ 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>