Jump to navigation
Jump to search
General
Display information for equation id:math.2402.39 on revision:2402
* Page found: Quantenmechanische Gleichgewichtsverteilungen (eq math.2402.39)
(force rerendering)Occurrences on the following pages:
Hash: e0a357c6ef63dddc21ffb508c0171771
TeX (original user input):
\left\langle {\hat{M}} \right\rangle =\sum\limits_{\alpha ,\beta }^{{}}{{}}{{P}_{\alpha }}\left\langle \alpha \right|\hat{M}\left| \beta \right\rangle \left\langle \beta \right|\left| \alpha \right\rangle =\sum\limits_{\beta }^{{}}{{}}\sum\limits_{\alpha }^{{}}{{}}\left\langle \beta \right|\left| \alpha \right\rangle {{P}_{\alpha }}\left\langle \alpha \right|\hat{M}\left| \beta \right\rangle =\sum\limits_{\beta }^{{}}{{}}\left\langle \beta \right|\hat{\rho }\hat{M}\left| \beta \right\rangle
TeX (checked):
\left\langle {\hat {M}}\right\rangle =\sum \limits _{\alpha ,\beta }^{}{}{{P}_{\alpha }}\left\langle \alpha \right|{\hat {M}}\left|\beta \right\rangle \left\langle \beta \right|\left|\alpha \right\rangle =\sum \limits _{\beta }^{}{}\sum \limits _{\alpha }^{}{}\left\langle \beta \right|\left|\alpha \right\rangle {{P}_{\alpha }}\left\langle \alpha \right|{\hat {M}}\left|\beta \right\rangle =\sum \limits _{\beta }^{}{}\left\langle \beta \right|{\hat {\rho }}{\hat {M}}\left|\beta \right\rangle
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 (2.721 KB / 395 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"><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><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><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><mover><mi>M</mi><mo stretchy="false">̂</mo></mover><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>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><mo stretchy="false">=</mo><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>β</mi></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover><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>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><mover><mi>M</mi><mo stretchy="false">̂</mo></mover><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><munderover><mo form="prefix" movablelimits="false" stretchy="false">∑</mo><mrow data-mjx-texclass="ORD"><mi>β</mi></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><mover><mi>ρ</mi><mo stretchy="false">̂</mo></mover><mover><mi>M</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>β</mi><mo data-mjx-texclass="CLOSE">⟩</mo></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