Update 2022-02-10 08:34
This commit is contained in:
@@ -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>
|
||||
@@ -1603,7 +1603,7 @@ A generic configuration of static charges coupled via the Coulomb interaction
|
||||
defines an electrostatic problem, whose solution is in principle obtained
|
||||
from calculating either the field according to <a href="./ems_es_ef_ccd.html#E_vcd">E_vcd</a>
|
||||
</p>
|
||||
<div class="main div" id="org6cf413c">
|
||||
<div class="main div" id="org27034ee">
|
||||
\begin{equation*}
|
||||
{\bf E} ({\bf r}) = \frac{1}{4\pi\varepsilon_0} \int_{\mathbb{R}^3} d\tau' \rho({\bf r}') \frac{{\bf r} - {\bf r}'}{|{\bf r} - {\bf r}'|^3}
|
||||
\end{equation*}
|
||||
@@ -1613,7 +1613,7 @@ from calculating either the field according to <a href="./ems_es_ef_ccd.html#E_v
|
||||
or (often simpler) by calculating the electrostatic potential, using either the
|
||||
explicit construction (\ref{eq:V_from_rho})
|
||||
</p>
|
||||
<div class="main div" id="orgde2ce45">
|
||||
<div class="main div" id="org1620b08">
|
||||
<p>
|
||||
\[
|
||||
V({\bf r}) = \frac{1}{4\pi \varepsilon_0} \int_{\mathbb{R}^3} d\tau' \frac{\rho({\bf r}')}{|{\bf r} - {\bf r}'|}.
|
||||
@@ -1629,7 +1629,7 @@ condition (\ref{Gr(2.20)}) can be expressed as the single
|
||||
'local' (differential) condition (Poisson's equation) (\ref{eq:Poisson})
|
||||
</p>
|
||||
|
||||
<div class="core div" id="org10253c2">
|
||||
<div class="core div" id="org1361b41">
|
||||
<p>
|
||||
\[
|
||||
{\boldsymbol \nabla}^2 V = -\frac{\rho}{\varepsilon_0}.
|
||||
@@ -1643,7 +1643,7 @@ condition (\ref{Gr(2.20)}) can be expressed as the single
|
||||
In the specific case where the charge density vanishes, we fall back onto the simpler
|
||||
Laplace equation
|
||||
</p>
|
||||
<div class="core div" id="orgd876622">
|
||||
<div class="core div" id="org2305746">
|
||||
<p>
|
||||
\[
|
||||
{\boldsymbol \nabla}^2 V = 0
|
||||
@@ -1676,7 +1676,7 @@ 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>
|
||||
|
||||
|
||||
Reference in New Issue
Block a user