Update 2022-03-22 10:53
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@@ -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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<!-- 2022-03-15 Tue 08:10 -->
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<!-- 2022-03-22 Tue 10:52 -->
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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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@@ -1635,14 +1635,14 @@ This yields
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The first term on the left-hand side vanishes since \(\Phi\) satisfies Laplace.
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The right-hand side can be made to vanish if \(\Phi\) obeys either
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</p>
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<div class="eqlabel" id="org13e35fc">
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<div class="eqlabel" id="orgfa460b1">
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<p>
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<a id="Dirichlet"></a><a href="./ems_ca_fe_uP.html#Dirichlet"><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="orgccd338e">
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<div class="alteqlabels" id="org14f7efc">
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</div>
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@@ -1654,14 +1654,14 @@ The right-hand side can be made to vanish if \(\Phi\) obeys either
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<p>
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or
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</p>
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<div class="eqlabel" id="org68968dd">
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<div class="eqlabel" id="orgcd08c73">
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<p>
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<a id="Neumann"></a><a href="./ems_ca_fe_uP.html#Neumann"><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="org062fea2">
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<div class="alteqlabels" id="org6976f14">
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</div>
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@@ -1689,19 +1689,19 @@ additive constant.
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<p>
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We can thus finally state the
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</p>
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<div class="eqlabel" id="org154b9ea">
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<div class="eqlabel" id="orgd45117f">
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<p>
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<a id="uniq_thm"></a><a href="./ems_ca_fe_uP.html#uniq_thm"><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="org43b26fb">
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<div class="alteqlabels" id="org2d283cb">
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</div>
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</div>
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<div class="core div" id="orgc742981">
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<div class="core div" id="orgf2a5ea9">
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<p>
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<b>Uniqueness Theorem</b>
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</p>
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@@ -1740,7 +1740,7 @@ Reading other books, you might be misled into thinking that there are numerous c
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and corollaries and that things are
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</p>
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<div class="info div" id="org2adbb79">
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<div class="info div" id="orgd298dad">
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<p>
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<b>Comment/warning</b>: <b>uniqueness theorem on uniqueness theorems</b> <br>
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Do not be misled: there is a <i>unique</i> uniqueness theorem for the
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@@ -1767,7 +1767,7 @@ 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: 2022-03-15 Tue 08:10</p>
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<p class="date">Created: 2022-03-22 Tue 10:52</p>
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<p class="validation"></p>
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</div>
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