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<record version="2" id="308">
 <title>Heisenberg uncertainty principle</title>
 <name>HeisenbergUncertaintyPrinciple</name>
 <created>2008-10-16 13:37:46</created>
 <modified>2008-10-16 13:38:13</modified>
 <type>Law</type>
 <creator id="441" name="bci1"/>
 <modifier id="441" name="bci1"/>
 <author id="441" name="bci1"/>
 <classification>
	<category scheme="msc" code="03."/>
	<category scheme="msc" code="03.65.Fd"/>
	<category scheme="msc" code="03.67.-a"/>
	<category scheme="msc" code="03.67.Mn"/>
 </classification>
 <defines>
	<concept>quantum uncertainty</concept>
	<concept>identity operator</concept>
 </defines>
 <keywords>
	<term>Heisenberg</term>
	<term>uncertainty principle</term>
	<term>quantum theory</term>
 </keywords>
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 <content>\section{Heisenberg Uncertainty Principle in Quantum theories:}

If X and P are, respectively, the coordinate and conjugate momentum quantum operators then they satisfy the Heisenberg non-commutation/ 'uncertainty' relation, or the\emph{Heisenberg Uncertainty Principle}:  

 $$[X,P] \geq i\hbar I,$$
 where the identity operator $I$ is employed to simplify notation.</content>
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