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

Update 2022-02-14 06:33

Browse Source
This commit is contained in:
Jean-Sébastien
2022-02-14 06:33:37 +01:00
parent f8446c1405
commit 4cfe8cef59
204 changed files with 1839 additions and 941 deletions
Download Patch File Download Diff File Expand all files Collapse all files
build/ems_ca_me_h.html
+8 -6
View File
@@ -1,7 +1,7 @@
<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-02-10 Thu 08:32 -->
<!-- 2022-02-13 Sun 21:20 -->
<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="org94cd7a4">
<div class="main div" id="org2ba72a1">
<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="org5f45d57">
<div class="main div" id="org9a117e2">
<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="org88607ca">
<div class="main div" id="org807951f">
<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="orgcdf393d">
<div class="info div" id="org3a15b33">
<p>
{\bf A consistent nomenclature for the multipole expansion?}\\\\
You all know the terms {\bf monopole}, {\bf dipole} and {\bf quadrupole},
@@ -1710,6 +1710,8 @@ more terms than you might ever (hopefully) need:<br>
<br><ul class="navigation-links"><li>Prev:&nbsp;<a href="ems_ca_me_md.html">Monopole and Dipole Terms&emsp;<small>[ems.ca.me.md]</small></a></li><li>Next:&nbsp;<a href="ems_ca_me_Ed.html">The Electric Field of a Dipole&emsp;<small>[ems.ca.me.Ed]</small></a></li><li>Up:&nbsp;<a href="ems_ca_me.html">The Multipole Expansion&emsp;<small>[ems.ca.me]</small></a></li></ul>
<br>
<hr>
<div class="license">
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
@@ -1723,7 +1725,7 @@ 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: 2022-02-10 Thu 08:32</p>
<p class="date">Created: 2022-02-13 Sun 21:20</p>
<p class="validation"></p>
</div>