Zur Navigation springen
Zur Suche springen
General
Display information for equation id:math.2250.25 on revision:2250
* Page found: Dynamik des statistischen Operators (eq math.2250.25)
(force rerendering)Occurrences on the following pages:
Hash: 3c78de19b615271bd9b1bfc84ae9ed5b
TeX (original user input):
\begin{align}
& i\hbar {{\partial }_{t}}{{\rho }_{nn}}\left( t \right)=\left\langle n \right|\left[ H,\rho \right]\left| n \right\rangle \\
& =\sum\limits_{m}{\left( \left\langle n \right|H\left| m \right\rangle \left\langle m \right|\rho \left| n \right\rangle -\left\langle n \right|\rho \left| m \right\rangle \left\langle m \right|H\left| n \right\rangle \right)} \\
& i\hbar {{\partial }_{t}}{{\rho }_{nn}}\left( t \right)=\sum\limits_{m}{\left( {{H}_{nm}}{{\rho }_{mn}}-{{\rho }_{nm}}{{H}_{mn}} \right)}
\end{align}
TeX (checked):
{\begin{aligned}&i\hbar {{\partial }_{t}}{{\rho }_{nn}}\left(t\right)=\left\langle n\right|\left[H,\rho \right]\left|n\right\rangle \\&=\sum \limits _{m}{\left(\left\langle n\right|H\left|m\right\rangle \left\langle m\right|\rho \left|n\right\rangle -\left\langle n\right|\rho \left|m\right\rangle \left\langle m\right|H\left|n\right\rangle \right)}\\&i\hbar {{\partial }_{t}}{{\rho }_{nn}}\left(t\right)=\sum \limits _{m}{\left({{H}_{nm}}{{\rho }_{mn}}-{{\rho }_{nm}}{{H}_{mn}}\right)}\end{aligned}}
LaTeXML (experimentell; verwendet MathML) rendering
MathML (0 B / 8 B) :
SVG image empty. Force Re-Rendering
SVG (0 B / 8 B) :
MathML (experimentell; keine Bilder) rendering
MathML (3.611 KB / 520 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><mi>i</mi><mi data-mjx-alternate="1">ℏ</mi><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>n</mi></mrow></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mi>H</mi><mo>,</mo><mi>ρ</mi><mo data-mjx-texclass="CLOSE">]</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>=</mo><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mi>H</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>m</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>m</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mi>ρ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>−</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mi>ρ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>m</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>m</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mi>H</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>n</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>i</mi><mi data-mjx-alternate="1">ℏ</mi><msub><mi>∂</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>n</mi></mrow></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><munder><mo form="prefix" texclass="OP">∑</mo><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>m</mi></mrow></mrow></msub><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>n</mi></mrow></mrow></msub><mo>−</mo><msub><mi>ρ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>m</mi></mrow></mrow></msub><msub><mi>H</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>n</mi></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow></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 Dynamik des statistischen Operators page
Identifiers
MathML observations
0results
0results
no statistics present please run the maintenance script ExtractFeatures.php
0 results
0 results