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	<id>https://wiki.iac.isu.edu/index.php?action=history&amp;feed=atom&amp;title=Summary_of_4-momentum_components</id>
	<title>Summary of 4-momentum components - Revision history</title>
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	<updated>2026-05-09T04:43:30Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=Summary_of_4-momentum_components&amp;diff=116068&amp;oldid=prev</id>
		<title>Vanwdani at 17:53, 16 June 2017</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=Summary_of_4-momentum_components&amp;diff=116068&amp;oldid=prev"/>
		<updated>2017-06-16T17:53:57Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 17:53, 16 June 2017&lt;/td&gt;
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&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[VanWasshenova_Thesis#Final_4-momentum_components|&amp;lt;math&amp;gt;\triangle &amp;lt;/math&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;[[VanWasshenova_Thesis#Final_4-momentum_components|&amp;lt;math&amp;gt;\triangle &amp;lt;/math&amp;gt;]]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;/center&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

&lt;!-- diff cache key iacwikidb-iacwiki_:diff::1.12:old-116067:rev-116068 --&gt;
&lt;/table&gt;</summary>
		<author><name>Vanwdani</name></author>
	</entry>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=Summary_of_4-momentum_components&amp;diff=116067&amp;oldid=prev</id>
		<title>Vanwdani at 17:52, 16 June 2017</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=Summary_of_4-momentum_components&amp;diff=116067&amp;oldid=prev"/>
		<updated>2017-06-16T17:52:23Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 17:52, 16 June 2017&lt;/td&gt;
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&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[Final_CM_Frame_Scattered_Electron_4-momentum_components|&amp;lt;math&amp;gt;\vartriangleleft &amp;lt;/math&amp;gt;]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[VanWasshenova_Thesis#Final_4-momentum_components|&amp;lt;math&amp;gt;\triangle &amp;lt;/math&amp;gt;]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[DV_XSECT|&amp;lt;math&amp;gt;\vartriangleright &amp;lt;/math&amp;gt;]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
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&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/center&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=Summary of 4-momentum components=&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=Summary of 4-momentum components=&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot; align=&amp;quot;center&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot; align=&amp;quot;center&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l86&quot; &gt;Line 86:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 95:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;   | &amp;lt;math&amp;gt;p_{1(z)}'=\sqrt{p_{1}^{'\ 2}-p_{(1(x)}^{'\ 2}-p_{1(y)}^{'\ 2}}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;   | &amp;lt;math&amp;gt;p_{1(z)}'=\sqrt{p_{1}^{'\ 2}-p_{(1(x)}^{'\ 2}-p_{1(y)}^{'\ 2}}&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;|}&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;----&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;center&amp;gt;&amp;lt;math&amp;gt;\textbf{\underline{Navigation}}&amp;lt;/math&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[Final_CM_Frame_Scattered_Electron_4-momentum_components|&amp;lt;math&amp;gt;\vartriangleleft &amp;lt;/math&amp;gt;]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[VanWasshenova_Thesis#Final_4-momentum_components|&amp;lt;math&amp;gt;\triangle &amp;lt;/math&amp;gt;]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;[[DV_XSECT|&amp;lt;math&amp;gt;\vartriangleright &amp;lt;/math&amp;gt;]]&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt; &lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins style=&quot;font-weight: bold; text-decoration: none;&quot;&gt;&amp;lt;/center&amp;gt;&lt;/ins&gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Vanwdani</name></author>
	</entry>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=Summary_of_4-momentum_components&amp;diff=115485&amp;oldid=prev</id>
		<title>Vanwdani: /* Summary of 4-momentum calculations */</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=Summary_of_4-momentum_components&amp;diff=115485&amp;oldid=prev"/>
		<updated>2017-05-31T19:53:02Z</updated>

		<summary type="html">&lt;p&gt;&lt;span dir=&quot;auto&quot;&gt;&lt;span class=&quot;autocomment&quot;&gt;Summary of 4-momentum calculations&lt;/span&gt;&lt;/span&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left diff-editfont-monospace&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #202122; text-align: center;&quot;&gt;Revision as of 19:53, 31 May 2017&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l1&quot; &gt;Line 1:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 1:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;==&lt;/del&gt;=Summary of 4-momentum &lt;del class=&quot;diffchange diffchange-inline&quot;&gt;calculations==&lt;/del&gt;=&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;=Summary of 4-momentum &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;components&lt;/ins&gt;=&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot; align=&amp;quot;center&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;{| class=&amp;quot;wikitable&amp;quot; align=&amp;quot;center&amp;quot;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| style=&amp;quot;background: red&amp;quot;      | &amp;lt;math&amp;gt;For\ 0 \ge \phi \ge \frac{-\pi}{2}\ Radians&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt; &lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;| style=&amp;quot;background: red&amp;quot;      | &amp;lt;math&amp;gt;For\ 0 \ge \phi \ge \frac{-\pi}{2}\ Radians&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Vanwdani</name></author>
	</entry>
	<entry>
		<id>https://wiki.iac.isu.edu/index.php?title=Summary_of_4-momentum_components&amp;diff=115484&amp;oldid=prev</id>
		<title>Vanwdani: Created page with &quot;===Summary of 4-momentum calculations=== {| class=&quot;wikitable&quot; align=&quot;center&quot; | style=&quot;background: red&quot;      | &lt;math&gt;For\ 0 \ge \phi \ge \frac{-\pi}{2}\ Radians&lt;/math&gt; |- | &lt;cente…&quot;</title>
		<link rel="alternate" type="text/html" href="https://wiki.iac.isu.edu/index.php?title=Summary_of_4-momentum_components&amp;diff=115484&amp;oldid=prev"/>
		<updated>2017-05-31T19:52:44Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;===Summary of 4-momentum calculations=== {| class=&amp;quot;wikitable&amp;quot; align=&amp;quot;center&amp;quot; | style=&amp;quot;background: red&amp;quot;      | &amp;lt;math&amp;gt;For\ 0 \ge \phi \ge \frac{-\pi}{2}\ Radians&amp;lt;/math&amp;gt; |- | &amp;lt;cente…&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;===Summary of 4-momentum calculations===&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; align=&amp;quot;center&amp;quot;&lt;br /&gt;
| style=&amp;quot;background: red&amp;quot;      | &amp;lt;math&amp;gt;For\ 0 \ge \phi \ge \frac{-\pi}{2}\ Radians&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;center&amp;gt;x=POSITIVE&amp;lt;/center&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;center&amp;gt;y=NEGATIVE&amp;lt;/center&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; align=&amp;quot;center&amp;quot;&lt;br /&gt;
| style=&amp;quot;background: red&amp;quot;      | &amp;lt;math&amp;gt;For\ 0 \le \phi \le \frac{\pi}{2}\ Radians&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;center&amp;gt;x=POSITIVE&amp;lt;/center&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;center&amp;gt;y=POSITIVE&amp;lt;/center&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; align=&amp;quot;center&amp;quot;&lt;br /&gt;
| style=&amp;quot;background: red&amp;quot;      | &amp;lt;math&amp;gt;For\ \frac{-\pi}{2} \ge \phi \ge -\pi\ Radians&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;center&amp;gt;x=NEGATIVE&amp;lt;/center&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;center&amp;gt;y=NEGATIVE&amp;lt;/center&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; align=&amp;quot;center&amp;quot;&lt;br /&gt;
| style=&amp;quot;background: red&amp;quot;      | &amp;lt;math&amp;gt;For\ \frac{\pi}{2} \le \phi \le \pi\ Radians&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
|&amp;lt;center&amp;gt; x=NEGATIVE&amp;lt;/center&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
| &amp;lt;center&amp;gt;y=POSITIVE&amp;lt;/center&amp;gt;&lt;br /&gt;
|}&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable&amp;quot; align=&amp;quot;center&amp;quot; border=1&lt;br /&gt;
  |+ '''4 momentum calculations for different frames of reference'''&lt;br /&gt;
|-&lt;br /&gt;
  ! Electron Initial Lab Frame&lt;br /&gt;
  ! Moller electron Initial Lab Frame&lt;br /&gt;
  ! Moller electron Final Lab Frame&lt;br /&gt;
  ! Moller electron Center of Mass Frame&lt;br /&gt;
  ! Electron Center of Mass Frame&lt;br /&gt;
  ! Electron Final Lab Frame&lt;br /&gt;
|-&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{1}\equiv 11000 MeV&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{2}\equiv 0&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{2}'\equiv INPUT&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{2}^*=\sqrt{E_{2}^{*2}-m^2}&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{1}^*=\sqrt{E_{2}^{*2}-m^2}&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{1}'=\sqrt{E_{1}^{'\ 2}-m^2}&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
  | &amp;lt;math&amp;gt;\theta_{1}\equiv 0&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;\theta_{2}\equiv 0&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;\theta_{2}'\equiv INPUT&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;\theta_{2}^*=\arccos \left(\frac{p_{2(z)}^*}{p_2^*} \right)&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;\theta_{1}^*=\pi-\theta_{2}^*&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;\theta_{1}'= \arccos \left(\frac{p_{1(z)}'}{p_{1}'} \right)&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
  | &amp;lt;math&amp;gt;E_{1}=\sqrt{p_1^2+m^2}&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;E_{2}\equiv m&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;E_{2}'=\sqrt{p_{2}^{'\ 2}+m^2}&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;E_{2}^*=\sqrt{\frac{m(m+E_1)}{2}}&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;E_{1}^*=\sqrt{\frac{m(m+E_1)}{2}}&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;E_{1}'\equiv E'-E_{2}'&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{1(x)}\equiv 0&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{2(x)}\equiv 0&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{2(x)}'=\sqrt{p_{2}^{'\ 2}-p_{2(z)}^{'\ 2}} cos(\phi '_2)&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{2(x)}^*\equiv p_{2(x)}'&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{1(x)}^*\equiv-p_{2(x)}^*&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{1(x)}'\equiv p_{1(x)}^*&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{1(y)}\equiv 0&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{2(y)}\equiv 0&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{2(y)}'=\sqrt{p_{2}^{'\ 2}-p_{2(x)}^{'\ 2}-p_{2(z)}^{'\ 2}}&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{2(y)}^*\equiv p_{2(y)}'&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{1(y)}^*\equiv -p_{2(y)}^*&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{1(y)}'\equiv p_{2(y)}^*&amp;lt;/math&amp;gt;&lt;br /&gt;
|-&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{1(z)}\equiv p_1&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{2(z)}\equiv 0&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{2(z)}'\equiv p_{2}'\ cos(\theta'_2)&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{2(z)}^*=-\sqrt{p_{2}^{*\ 2}-p_{2(x)}^{*\ 2}-p_{2(y)}^{*\ 2}}&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{1(z)}^*\equiv -p_{2(z)}^*&amp;lt;/math&amp;gt;&lt;br /&gt;
  | &amp;lt;math&amp;gt;p_{1(z)}'=\sqrt{p_{1}^{'\ 2}-p_{(1(x)}^{'\ 2}-p_{1(y)}^{'\ 2}}&amp;lt;/math&amp;gt;&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Vanwdani</name></author>
	</entry>
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