Update 2022-02-08 17:21

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Jean-Sébastien
2022-02-08 17:21:33 +01:00
parent 077433c40a
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207 changed files with 1882 additions and 1097 deletions
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<title>Pre-Quantum Electrodynamics</title>
@@ -272,6 +272,10 @@ Table of contents
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<ul>
<li>
<a href="./in_t_l.html#in_t_l">Section and equation labelling</a><span class="headline-id">in.t.l</span>
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<li>
<a href="./in_t_c.html#in_t_c">Contextual colors</a><span class="headline-id">in.t.c</span>
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@@ -736,7 +740,7 @@ Table of contents
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<li>
<a href="./emsm_esm_d.html#emsm_esm_d">Dielectrics</a><span class="headline-id">emsm.esm.d</span>
<a href="./emsm_esm_di.html#emsm_esm_di">Dielectrics</a><span class="headline-id">emsm.esm.di</span>
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<li>
@@ -1642,7 +1646,7 @@ We thus obtain
\]
Recognizing the proper velocity, we thus get that charge density and current density can together form the
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{\bf Current density 4-vector}
\[
@@ -1655,7 +1659,7 @@ Recognizing the proper velocity, we thus get that charge density and current den
<p>
The continuity equation (\ref{eq:continuity}) takes the simple form
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<p>
{\bf Continuity equation}
\[
@@ -1667,7 +1671,7 @@ The continuity equation (\ref{eq:continuity}) takes the simple form
<p>
while similarly the notation simplifies for
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<p>
{\bf Maxwell's equations}
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In terms of \(F^{\mu \nu}\) and the proper velocity \(\eta^\mu\), we also have the
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<p>
{\bf Minkowski force on a charge \(q\)}
\[
@@ -1732,7 +1736,7 @@ the Lorenz gauge (\ref{eq:InhomogeneousMaxwellLorenzGauge}) here expressed as
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Defining the
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{\bf d'Alembertian operator}
\[
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we obtain the final form of
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{\bf Maxwell's equations (Lorenz gauge, 4-vector notation)}
\[
@@ -1764,7 +1768,7 @@ of these equations.
<hr><div id="postamble" class="status">
<p class="author">Author: Jean-Sébastien Caux</p>
<p class="date">Created: 2022-02-08 Tue 06:55</p>
<p class="date">Created: 2022-02-08 Tue 17:21</p>
<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
</div>