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Update 2022-03-24 08:43

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Jean-Sébastien
2022-03-24 08:43:21 +01:00
parent 1d852e7213
commit 50704eba07
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build/ems_ms_vp_me.html
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@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-03-22 Tue 10:52 -->
<!-- 2022-03-24 Thu 08:42 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1293,7 +1293,7 @@ Table of contents
</summary>
<ul>
<li>
<a href="./qed_t.html#qed_t">QED today</a><span class="headline-id">qed.t</span>
<a href="./qed_L.html#qed_L">Lagrangian</a><span class="headline-id">qed.L</span>
</li>
@@ -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="org5130ba2">
<div class="eqlabel" id="org9991a67">
<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="org4bcf6bb">
<div class="alteqlabels" id="org70670d3">
<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="orgba02679">
<div class="eqlabel" id="org6ae2775">
<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="orga27ade1">
<div class="alteqlabels" id="org46c3ea1">
<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="org3f6dca3">
<div class="eqlabel" id="orgcbd4b12">
<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="orge0834a1">
<div class="alteqlabels" id="orgf8baea5">
<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="org04c6a44">
<div class="info div" id="org099b0fe">
<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="orgbe06c08">
<div class="core div" id="org11ff67d">
<p>
<b>magnetic dipole moment</b>
</p>
<div class="eqlabel" id="orgdd422db">
<div class="eqlabel" id="orgcaf0476">
<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="org6cd583f">
<div class="alteqlabels" id="org2f58487">
<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="org066e08b">
<div class="main div" id="orgaf2f07b">
<p>
<b>dipole term of the vector potential</b>
</p>
<div class="eqlabel" id="org7c02396">
<div class="eqlabel" id="org9e396b0">
<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="orgf4eddbd">
<div class="alteqlabels" id="orge4aef58">
<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="org70776ed">
<div class="example div" id="orge5a4d71">
<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: 2022-03-22 Tue 10:52</p>
<p class="date">Created: 2022-03-24 Thu 08:42</p>
<p class="validation"></p>
</div>