Update 2022-03-02 15:47
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-12
@@ -1,7 +1,7 @@
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<!DOCTYPE html>
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<html lang="en">
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<head>
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<!-- 2022-03-01 Tue 08:14 -->
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<!-- 2022-03-02 Wed 15:45 -->
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<meta charset="utf-8">
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<meta name="viewport" content="width=device-width, initial-scale=1">
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<title>Pre-Quantum Electrodynamics</title>
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@@ -1632,15 +1632,15 @@ For a single dipole: refer to <a href="./ems_ms_vp_me.html#A_di">A_di</a> (vect
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For a chunk of material with local magnetization \({\bf M} ({\bf r})\),
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by the principle of superposition we thus have:
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</p>
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<div class="main div" id="orga8df7e7">
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<div class="eqlabel" id="org8873f67">
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<div class="main div" id="orge1cc4c6">
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<div class="eqlabel" id="orgd2ecec1">
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<p>
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<a id="A_M"></a><a href="./emsm_msm_fmo_bc.html#A_M"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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<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"/>
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<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"/>
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</svg></a>
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</p>
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<div class="alteqlabels" id="org2aafb5d">
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<div class="alteqlabels" id="org8749b49">
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<ul class="org-ul">
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<li>Gr (6.11)</li>
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</ul>
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@@ -1696,15 +1696,15 @@ leads to
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<p>
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Reinterpretation: first term: potential from volume current,
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</p>
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<div class="main div" id="org2d1d26c">
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<div class="eqlabel" id="org021e10f">
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<div class="main div" id="orgb874dba">
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<div class="eqlabel" id="org273f0df">
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<p>
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<a id="JbgradM"></a><a href="./emsm_msm_fmo_bc.html#JbgradM"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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<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"/>
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<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"/>
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</svg></a>
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</p>
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<div class="alteqlabels" id="org6840413">
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<div class="alteqlabels" id="org2784fcc">
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<ul class="org-ul">
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<li>Gr (6.13)</li>
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</ul>
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@@ -1723,15 +1723,15 @@ Reinterpretation: first term: potential from volume current,
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<p>
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second term: potential from surface current,
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</p>
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<div class="main div" id="org2ed4e80">
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<div class="eqlabel" id="org25ca796">
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<div class="main div" id="orgc881a17">
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<div class="eqlabel" id="orgc28bc76">
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<p>
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<a id="KbM"></a><a href="./emsm_msm_fmo_bc.html#KbM"><svg xmlns="http://www.w3.org/2000/svg" width="16" height="16" fill="currentColor" class="bi bi-link" viewBox="0 0 16 16">
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<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"/>
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<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"/>
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</svg></a>
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</p>
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<div class="alteqlabels" id="orgdc7bf79">
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<div class="alteqlabels" id="org68ad9a8">
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<ul class="org-ul">
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<li>Gr (6.14)</li>
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</ul>
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@@ -1750,7 +1750,7 @@ second term: potential from surface current,
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<p>
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With these definitions,
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</p>
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<div class="main div" id="orgf0db421">
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<div class="main div" id="org7792e90">
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\begin{equation}
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{\bf A} ({\bf r}) = \frac{\mu_0}{4\pi} \int_{\cal V} d\tau' \frac{{\bf J}_b ({\bf r}')}{|{\bf r} - {\bf r}'|}
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+ \frac{\mu_0}{4\pi} \oint_{\cal S} da' \frac{{\bf K}_b ({\bf r}')}{|{\bf r} - {\bf r}'|}
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@@ -1783,7 +1783,7 @@ target="_blank">Creative Commons Attribution 4.0 International License</a>.
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</div>
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<div id="postamble" class="status">
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<p class="author">Author: Jean-Sébastien Caux</p>
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<p class="date">Created: 2022-03-01 Tue 08:14</p>
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<p class="date">Created: 2022-03-02 Wed 15:45</p>
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<p class="validation"></p>
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</div>
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