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Display information for equation id:math.2413.51 on revision:2413
* Page found: Quantenmechanische Gleichgewichtsverteilungen (eq math.2413.51)
(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}}
LaTeXML (experimentell; verwendet MathML) rendering
MathML (0 B / 8 B) :
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MathML (experimentell; keine Bilder) rendering
MathML (1.707 KB / 401 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ρ</mi><mo>^</mo></mover></mrow></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>=</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>P</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">Ψ</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>M</mi><mo>^</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><mi>t</mi><mi>r</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>ρ</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>M</mi><mo>^</mo></mover></mrow></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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