jscaux/pqed_html
1
0
Fork 0
Code Issues Pull Requests Releases Wiki Activity

Update 2022-02-10 08:34

Browse Source
This commit is contained in:
Jean-Sébastien
2022-02-10 08:34:34 +01:00
parent f3c2446d19
commit f8446c1405
204 changed files with 803 additions and 790 deletions
Download Patch File Download Diff File Expand all files Collapse all files
build/ems_ca_me_h.html
+6 -6
View File
@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-02-09 Wed 22:40 -->
<!-- 2022-02-10 Thu 08:32 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1605,7 +1605,7 @@ V_{\mbox{\tiny quad}} ({\bf r}) = \frac{1}{4\pi \varepsilon_0} \frac{1}{r^3} \in
\]
and can be rewritten as
</p>
<div class="main div" id="org992e44c">
<div class="main div" id="org94cd7a4">
<p>
\[
V_{\mbox{\tiny quad}} ({\bf r}) = \frac{1}{4\pi \varepsilon_0} \frac{1}{2} \sum_{a,b} \frac{r_a r_b}{r^5} Q_{ab}
@@ -1616,7 +1616,7 @@ and can be rewritten as
<p>
in terms of the {\bf quadrupole moment}
</p>
<div class="main div" id="orgc3edafc">
<div class="main div" id="org5f45d57">
<p>
\[
Q_{ab} = \int_{\cal V} d\tau_s (3 r_{s,a} r_{s,b} - r_s^2 \delta_{a,b}) \rho ({\bf r}_s).
@@ -1634,7 +1634,7 @@ Moreover, it is traceless, \(\sum_a Q_{aa} = 0\). It therefore has \(5\) indepe
<p>
Our expansion for the potential thus looks like
</p>
<div class="main div" id="org92525d3">
<div class="main div" id="org88607ca">
<p>
\[
V({\bf r}) = \frac{1}{4\pi \varepsilon_0} \left( \frac{Q}{r} + \sum_a \frac{r_a}{r^3} p_a + \frac{1}{2} \sum_{a,b} \frac{r_a r_b}{r^5} Q_{ab} + ... \right)
@@ -1653,7 +1653,7 @@ the leading nonvanishing multipole moment is independent of the chosen location
the origin of the coordinate system (see Jackson Prob. 4.4).
</p>
<div class="info div" id="orgacbf29d">
<div class="info div" id="orgcdf393d">
<p>
{\bf A consistent nomenclature for the multipole expansion?}\\\\
You all know the terms {\bf monopole}, {\bf dipole} and {\bf quadrupole},
@@ -1723,7 +1723,7 @@ 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: 2022-02-09 Wed 22:40</p>
<p class="date">Created: 2022-02-10 Thu 08:32</p>
<p class="validation"></p>
</div>