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Display information for equation id:math.2403.28 on revision:2403

* Page found: Quantenmechanische Gleichgewichtsverteilungen (eq math.2403.28)

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Hash: 3ab20d10c67de0bf8ef6e16f08cc12f0

TeX (original user input):

\begin{align}
& \left\langle {\hat{M}} \right\rangle =\left\langle  \Psi  \right|\hat{M}\left| \Psi  \right\rangle =\sum\limits_{\alpha }^{{}}{{}}\left\langle  \Psi  \right|\left| \alpha  \right\rangle \left\langle  \alpha  \right|\left| \Psi  \right\rangle {{M}_{\alpha }}= \\
& =\sum\limits_{\alpha }^{{}}{{}}{{P}_{\alpha }}{{M}_{\alpha }} \\
\end{align}

TeX (checked):

{\begin{aligned}&\left\langle {\hat {M}}\right\rangle =\left\langle \Psi \right|{\hat {M}}\left|\Psi \right\rangle =\sum \limits _{\alpha }^{}{}\left\langle \Psi \right|\left|\alpha \right\rangle \left\langle \alpha \right|\left|\Psi \right\rangle {{M}_{\alpha }}=\\&=\sum \limits _{\alpha }^{}{}{{P}_{\alpha }}{{M}_{\alpha }}\\\end{aligned}}

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MathML (2.055 KB / 406 B) :

M̂=Ψ|M̂|Ψ=αΨ||αα||ΨMα==αPαMα
<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"><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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN"></mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mover><mi>M</mi><mo stretchy="false">̂</mo></mover><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><munderover><mo form="prefix" movablelimits="false" stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><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>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 data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mo stretchy="false">=</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mo stretchy="false">=</mo><munderover><mo form="prefix" movablelimits="false" stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Identifiers

  • M̂
  • Ψ
  • M̂
  • Ψ
  • α
  • Ψ
  • α
  • α
  • Ψ
  • Mα
  • α
  • Pα
  • Mα

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