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		<id>http://tetelwiki.mafihe.hu/index.php?action=history&amp;feed=atom&amp;title=Harmonikus_oszcill%C3%A1tor_energi%C3%A1ja%2C_Hamilton_oper%C3%A1tora</id>
		<title>Harmonikus oszcillátor energiája, Hamilton operátora - Laptörténet</title>
		<link rel="self" type="application/atom+xml" href="http://tetelwiki.mafihe.hu/index.php?action=history&amp;feed=atom&amp;title=Harmonikus_oszcill%C3%A1tor_energi%C3%A1ja%2C_Hamilton_oper%C3%A1tora"/>
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		<updated>2026-10-01T08:51:39Z</updated>
		<subtitle>Az oldal laptörténete a wikiben</subtitle>
		<generator>MediaWiki 1.30.0</generator>

	<entry>
		<id>http://tetelwiki.mafihe.hu/index.php?title=Harmonikus_oszcill%C3%A1tor_energi%C3%A1ja,_Hamilton_oper%C3%A1tora&amp;diff=1223&amp;oldid=prev</id>
		<title>Birol, 2011. június 26., 21:38-n</title>
		<link rel="alternate" type="text/html" href="http://tetelwiki.mafihe.hu/index.php?title=Harmonikus_oszcill%C3%A1tor_energi%C3%A1ja,_Hamilton_oper%C3%A1tora&amp;diff=1223&amp;oldid=prev"/>
				<updated>2011-06-26T21:38:49Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&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 style=&quot;vertical-align: top;&quot; lang=&quot;hu&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Régebbi változat&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;A lap 2011. június 26., 21:38-kori változata&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;1. sor:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;1. sor:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;E_n = \hbar \omega (n + \frac{1}{2}), \quad n=0,\,1,\,2,\, \ldots&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;E_n = \hbar \omega (n + \frac{1}{2}), \quad n=0,\,1,\,2,\, \ldots&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; 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;&amp;lt;math&amp;gt;\mathcal{H} = \hbar \omega \left(\hat{N} + \frac{1}{2}\right) = hbar \omega \left(\hat{a}^{\dagger}\hat{a} + \frac{1}{2}\right)= \frac{\hat{p}^2}{2m} + \frac{m \omega^2}{2}\hat{x}^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;color:black; 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;&amp;lt;math&amp;gt;\mathcal{H} = \hbar \omega \left(\hat{N} + \frac{1}{2}\right) = &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\&lt;/ins&gt;hbar \omega \left(\hat{a}^{\dagger}\hat{a} + \frac{1}{2}\right)= \frac{\hat{p}^2}{2m} + \frac{m \omega^2}{2}\hat{x}^2.&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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&lt;/table&gt;</summary>
		<author><name>Birol</name></author>	</entry>

	<entry>
		<id>http://tetelwiki.mafihe.hu/index.php?title=Harmonikus_oszcill%C3%A1tor_energi%C3%A1ja,_Hamilton_oper%C3%A1tora&amp;diff=1222&amp;oldid=prev</id>
		<title>Birol, 2011. június 26., 21:37-n</title>
		<link rel="alternate" type="text/html" href="http://tetelwiki.mafihe.hu/index.php?title=Harmonikus_oszcill%C3%A1tor_energi%C3%A1ja,_Hamilton_oper%C3%A1tora&amp;diff=1222&amp;oldid=prev"/>
				<updated>2011-06-26T21:37:29Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&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 style=&quot;vertical-align: top;&quot; lang=&quot;hu&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Régebbi változat&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;A lap 2011. június 26., 21:37-kori változata&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;1. sor:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;1. sor:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;E_n = \hbar \omega (n + \frac{1}{2}), \quad n=0,\,1,\,2,\, \ldots&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;math&amp;gt;E_n = \hbar \omega (n + \frac{1}{2}), \quad n=0,\,1,\,2,\, \ldots&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; 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;&amp;lt;math&amp;gt;\mathcal{H} = \hbar \omega (\hat{N} + \frac{1}{2}) = hbar \omega (\hat{a}^{\dagger}\hat{a} + \frac{1}{2})= \frac{\hat{p}^2}{2m} + \frac{m \omega^2}{2}\hat{x}^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;color:black; 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;&amp;lt;math&amp;gt;\mathcal{H} = \hbar \omega &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\left&lt;/ins&gt;(\hat{N} + \frac{1}{2}&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\right&lt;/ins&gt;) = hbar \omega &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\left&lt;/ins&gt;(\hat{a}^{\dagger}\hat{a} + \frac{1}{2}&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;\right&lt;/ins&gt;)= \frac{\hat{p}^2}{2m} + \frac{m \omega^2}{2}\hat{x}^2.&amp;lt;/math&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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&lt;/table&gt;</summary>
		<author><name>Birol</name></author>	</entry>

	<entry>
		<id>http://tetelwiki.mafihe.hu/index.php?title=Harmonikus_oszcill%C3%A1tor_energi%C3%A1ja,_Hamilton_oper%C3%A1tora&amp;diff=1221&amp;oldid=prev</id>
		<title>Birol: Új oldal, tartalma: „&lt;math&gt;E_n = \hbar \omega (n + \frac{1}{2}), \quad n=0,\,1,\,2,\, \ldots&lt;/math&gt;  &lt;math&gt;\mathcal{H} = \hbar \omega (\hat{N} + \frac{1}{2}) = hbar \omega (\hat{a}^{\dagger}\h…”</title>
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				<updated>2011-06-26T21:29:02Z</updated>
		
		<summary type="html">&lt;p&gt;Új oldal, tartalma: „&amp;lt;math&amp;gt;E_n = \hbar \omega (n + \frac{1}{2}), \quad n=0,\,1,\,2,\, \ldots&amp;lt;/math&amp;gt;  &amp;lt;math&amp;gt;\mathcal{H} = \hbar \omega (\hat{N} + \frac{1}{2}) = hbar \omega (\hat{a}^{\dagger}\h…”&lt;/p&gt;
&lt;p&gt;&lt;b&gt;Új lap&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&amp;lt;math&amp;gt;E_n = \hbar \omega (n + \frac{1}{2}), \quad n=0,\,1,\,2,\, \ldots&amp;lt;/math&amp;gt;&lt;br /&gt;
&lt;br /&gt;
&amp;lt;math&amp;gt;\mathcal{H} = \hbar \omega (\hat{N} + \frac{1}{2}) = hbar \omega (\hat{a}^{\dagger}\hat{a} + \frac{1}{2})= \frac{\hat{p}^2}{2m} + \frac{m \omega^2}{2}\hat{x}^2.&amp;lt;/math&amp;gt;&lt;/div&gt;</summary>
		<author><name>Birol</name></author>	</entry>

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