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Display information for equation id:math.2406.16 on revision:2406
* Page found: Quantenmechanische Gleichgewichtsverteilungen (eq math.2406.16)
(force rerendering)Occurrences on the following pages:
Hash: bd3b5d1a73c1fc67ffd6b49d50b60d10
TeX (original user input):
\begin{align}
& \hat{M}=\sum\limits_{\alpha }^{{}}{\hat{M}\left| \alpha \right\rangle \left\langle \alpha \right|}=\sum\limits_{\alpha }^{{}}{\left| \alpha \right\rangle {{M}_{\alpha }}\left\langle \alpha \right|} \\
& \left| \alpha \right\rangle \left\langle \alpha \right|:={{{\hat{P}}}_{\alpha }} \\
\end{align}
TeX (checked):
{\begin{aligned}&{\hat {M}}=\sum \limits _{\alpha }^{}{{\hat {M}}\left|\alpha \right\rangle \left\langle \alpha \right|}=\sum \limits _{\alpha }^{}{\left|\alpha \right\rangle {{M}_{\alpha }}\left\langle \alpha \right|}\\&\left|\alpha \right\rangle \left\langle \alpha \right|:={{\hat {P}}_{\alpha }}\\\end{aligned}}
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MathML (2.149 KB / 408 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>M</mi><mo>^</mo></mover></mrow></mrow><mo>=</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>M</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>α</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>α</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow></mrow><mo>=</mo><munderover><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>α</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>α</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>α</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>α</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mi>:</mi><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>α</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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