Jump to navigation
		Jump to search
		
General
Display information for equation id:math.2411.28 on revision:2411
* Page found: Quantenmechanische Gleichgewichtsverteilungen (eq math.2411.28)
(force rerendering)Occurrences on the following pages:
Hash: f0a66bfc4f4f409be78f0f55ff2def4b
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   |  \alpha  \right\rangle \left\langle  \alpha   |  \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 |\alpha \right\rangle \left\langle \alpha |\Psi \right\rangle {{M}_{\alpha }}=\\&=\sum \limits _{\alpha }^{}{}{{P}_{\alpha }}{{M}_{\alpha }}\\\end{aligned}}
LaTeXML (experimental; uses MathML) rendering
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimental; no images) rendering
MathML (2.063 KB / 421 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="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><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="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 mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></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="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi mathvariant="normal">Ψ</mi><mo>|</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>|</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><msub><mi>M</mi><mrow data-mjx-texclass="ORD"><mi>α</mi></mrow></msub><mo>=</mo></mtd></mtr><mtr><mtd></mtd><mtd><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><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></mtd></mtr></mtable></mrow></mstyle></mrow></math>
Translations to Computer Algebra Systems
Translation to Maple
In Maple: 
Translation to Mathematica
In Mathematica: 
Similar pages
Calculated based on the variables occurring on the entire Quantenmechanische Gleichgewichtsverteilungen page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results