Jump to navigation
Jump to search
General
Display information for equation id:math.2403.49 on revision:2403
* Page found: Quantenmechanische Gleichgewichtsverteilungen (eq math.2403.49)
(force rerendering)Occurrences on the following pages:
Hash: f684335274b8126da6c60da12a7bb8ab
TeX (original user input):
\begin{align}
& tr\hat{\rho }=\sum\limits_{\alpha ,\beta }^{{}}{{}}\left\langle \beta \right|\left| \alpha \right\rangle {{P}_{\alpha }}\left\langle \alpha \right|\left| \beta \right\rangle \\
& \left\langle \alpha \right|\left| \beta \right\rangle ={{\delta }_{\alpha \beta }} \\
& tr\hat{\rho }=\sum\limits_{\alpha }^{{}}{{}}{{P}_{\alpha }}=1 \\
\end{align}
TeX (checked):
{\begin{aligned}&tr{\hat {\rho }}=\sum \limits _{\alpha ,\beta }^{}{}\left\langle \beta \right|\left|\alpha \right\rangle {{P}_{\alpha }}\left\langle \alpha \right|\left|\beta \right\rangle \\&\left\langle \alpha \right|\left|\beta \right\rangle ={{\delta }_{\alpha \beta }}\\&tr{\hat {\rho }}=\sum \limits _{\alpha }^{}{}{{P}_{\alpha }}=1\\\end{aligned}}
LaTeXML (experimental; uses MathML) rendering
MathML (0 B / 8 B) :
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimental; no images) rendering
MathML (2.191 KB / 441 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"><mi>t</mi><mi>r</mi><mover><mi>ρ</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">=</mo><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mo>,</mo><mi>β</mi></mrow></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>β</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><msub><mi>P</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 data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>β</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mtd></mtr><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><mi>α</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>β</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">=</mo><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi></mrow></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mi>t</mi><mi>r</mi><mover><mi>ρ</mi><mo stretchy="false">̂</mo></mover><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><mo stretchy="false">=</mo><mn>1</mn></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></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