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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
211 changed files with 1506 additions and 3143 deletions
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build/emsm_esm_po.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>
@@ -1624,14 +1624,14 @@ For a single dipole, we have <a href="./ems_ca_me_md.html#p_di">p_di</a>
\]
Considering a dipole moment per unit volume \({\bf P}\) (our definition of the polarization), we get
</p>
<div class="eqlabel" id="org0258040">
<div class="eqlabel" id="orgf9d8b73">
<p>
<a id="p_P"></a><a href="./emsm_esm_po.html#p_P"><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="orgf8823e1">
<div class="alteqlabels" id="org0d6708a">
<ul class="org-ul">
<li>Gr (4.9)</li>
</ul>
@@ -1666,15 +1666,15 @@ Using the divergence theorem, this becomes
<p>
Interpretation: first terms is like contribution of a surface charge,
</p>
<div class="main div" id="org0d67ad6">
<div class="eqlabel" id="org6822ee4">
<div class="main div" id="orgda7ad07">
<div class="eqlabel" id="orgb0c539d">
<p>
<a id="sigmab"></a><a href="./emsm_esm_po.html#sigmab"><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="orgf05f86c">
<div class="alteqlabels" id="org470a253">
<ul class="org-ul">
<li>Gr (4.11)</li>
</ul>
@@ -1693,15 +1693,15 @@ Interpretation: first terms is like contribution of a surface charge,
<p>
and second term looks like contribution of a volume charge,
</p>
<div class="main div" id="org6d35d8a">
<div class="eqlabel" id="org869cfc2">
<div class="main div" id="org2fcf5d5">
<div class="eqlabel" id="org236705d">
<p>
<a id="rhob"></a><a href="./emsm_esm_po.html#rhob"><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="org0b847eb">
<div class="alteqlabels" id="orgfa342f9">
<ul class="org-ul">
<li>Gr (4.12)</li>
</ul>
@@ -1720,15 +1720,15 @@ and second term looks like contribution of a volume charge,
<p>
Using these definitions,
</p>
<div class="main div" id="org8829df8">
<div class="eqlabel" id="orgd8388a5">
<div class="main div" id="org52f84a1">
<div class="eqlabel" id="org6d08561">
<p>
<a id="p_bound"></a><a href="./emsm_esm_po.html#p_bound"><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="org2103784">
<div class="alteqlabels" id="orgb8910a7">
<ul class="org-ul">
<li>Gr (4.13)</li>
</ul>
@@ -1749,7 +1749,7 @@ These <b>bound charges</b> faithfully represent the object's sources for electri
</p>
<div class="example div" id="orga521891">
<div class="example div" id="orge4443d6">
<p>
<b>Example: uniformly polarized sphere</b>
</p>
@@ -1827,7 +1827,7 @@ 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>