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Display information for equation id:math.2402.51 on revision:2402
* Page found: Quantenmechanische Gleichgewichtsverteilungen (eq math.2402.51)
(force rerendering)Occurrences on the following pages:
Hash: 26f58408404816821c94fe6ec05e68aa
TeX (original user input):
\begin{align}
& \hat{\rho }=\left| \Psi \right\rangle \left\langle \Psi \right|={{{\hat{P}}}_{\Psi }} \\
& \Rightarrow \left\langle {\hat{M}} \right\rangle =tr\left( \hat{\rho }\hat{M} \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&{\hat {\rho }}=\left|\Psi \right\rangle \left\langle \Psi \right|={{\hat {P}}_{\Psi }}\\&\Rightarrow \left\langle {\hat {M}}\right\rangle =tr\left({\hat {\rho }}{\hat {M}}\right)\\\end{aligned}}
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MathML (1.37 KB / 369 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mover><mi>ρ</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo stretchy="false">=</mo><msub><mover><mi>P</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>Ψ</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">⇒</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mover><mi>M</mi><mo stretchy="false">̂</mo></mover><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">=</mo><mi>t</mi><mi>r</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mover><mi>ρ</mi><mo stretchy="false">̂</mo></mover><mover><mi>M</mi><mo stretchy="false">̂</mo></mover><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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