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Update 2022-02-09 07:44

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Jean-Sébastien
2022-02-09 07:44:58 +01:00
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<!DOCTYPE html>
<html lang="en">
<head>
<!-- 2022-02-08 Tue 17:21 -->
<!-- 2022-02-09 Wed 07:31 -->
<meta charset="utf-8">
<meta name="viewport" content="width=device-width, initial-scale=1">
<title>Pre-Quantum Electrodynamics</title>
@@ -1616,13 +1616,13 @@ Table of contents
</ul>
</details>
</nav>
<ul class="navigation-links"><li>Prev:&nbsp;<a href="red_rm_pt.html">Proper Time and Proper Velocity&emsp;<small>[red.rm.pt]</small></a></li><li>Next:&nbsp;<a href="red_rm_Mf.html">Relativistic version of Newton's Laws; the Minkowski Force&emsp;<small>[red.rm.Mf]</small></a></li><li>Up:&nbsp;<a href="red_rm.html">Relativistic Mechanics&emsp;<small>[red.rm]</small></a></li></ul><div id="outline-container-red_rm_rme" class="outline-4">
<ul class="breadcrumbs"><li><a class="breadcrumb-link"href="red.html">Relativistic Electrodynamics</a></li><li><a class="breadcrumb-link"href="red_rm.html">Relativistic Mechanics</a></li><li>Relativistic Momentum and Energy</li></ul><ul class="navigation-links"><li>Prev:&nbsp;<a href="red_rm_pt.html">Proper Time and Proper Velocity&emsp;<small>[red.rm.pt]</small></a></li><li>Next:&nbsp;<a href="red_rm_Mf.html">Relativistic version of Newton's Laws; the Minkowski Force&emsp;<small>[red.rm.Mf]</small></a></li><li>Up:&nbsp;<a href="red_rm.html">Relativistic Mechanics&emsp;<small>[red.rm]</small></a></li></ul><div id="outline-container-red_rm_rme" class="outline-4">
<h4 id="red_rm_rme">Relativistic Momentum and Energy<a class="headline-permalink" href="./red_rm_rme.html#red_rm_rme"><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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</svg></a><span class="headline-id">red.rm.rme</span></h4>
<div class="outline-text-4" id="text-red_rm_rme">
<div class="core div" id="orgb552421">
<div class="core div" id="org3a49cd3">
<p>
The {\bf relativistic momentum} \({\boldsymbol p}\) is defined as
\[
@@ -1644,7 +1644,7 @@ These can be combined into the {\bf energy-momentum four-vector}
<p>
When the object is stationary, its energy is the
</p>
<div class="core div" id="org67c38cb">
<div class="core div" id="org72183f0">
<p>
{\bf Rest energy}
\[
@@ -1657,7 +1657,7 @@ When the object is stationary, its energy is the
When moving, the difference between relativistic and rest energies
is the
</p>
<div class="core div" id="org251ada4">
<div class="core div" id="orgb1d4535">
<p>
{\bf Kinetic energy}
\[
@@ -1677,7 +1677,7 @@ this to
<p>
In a closed system,
</p>
<div class="core div" id="orgc2b8494">
<div class="core div" id="orgff0bef5">
<p>
{\bf Total relativistic energy and momentum is conserved}
\[
@@ -1696,10 +1696,21 @@ N.B.: don't confuse an {\bf invariant} quantity with a {\bf conserved} quantity.
<hr><div id="postamble" class="status">
<hr>
<div class="license">
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
target="_blank" class="m-2">
<img alt="Creative Commons License" style="border-width:0"
src="https://licensebuttons.net/l/by/4.0/80x15.png"/>
</a>
Except where otherwise noted, all content is licensed under a
<a rel="license noopener" href="https://creativecommons.org/licenses/by/4.0/"
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: 2022-02-08 Tue 17:21</p>
<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
<p class="date">Created: 2022-02-09 Wed 07:31</p>
<p class="validation"></p>
</div>