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Display information for equation id:math.1643.30 on revision:1643

* Page found: Dynamik im Schrödinger- Heisenberg- und Wechselwirkungsbild (eq math.1643.30)

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Hash: 2d93dd1caaa999cb0bb278c6d3002191

TeX (original user input): 

\begin{align}
& \frac{d}{dt}\left\langle {\hat{\bar{r}}} \right\rangle =\frac{1}{m}\left\langle {\hat{\bar{p}}} \right\rangle  \\
& \frac{d}{dt}\left\langle {\hat{\bar{p}}} \right\rangle =-\left\langle \nabla V\left( {\hat{\bar{r}}} \right) \right\rangle  \\
\end{align}

TeX (checked): 

{\begin{aligned}&{\frac {d}{dt}}\left\langle {\hat {\bar {r}}}\right\rangle ={\frac {1}{m}}\left\langle {\hat {\bar {p}}}\right\rangle \\&{\frac {d}{dt}}\left\langle {\hat {\bar {p}}}\right\rangle =-\left\langle \nabla V\left({\hat {\bar {r}}}\right)\right\rangle \\\end{aligned}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (15.494 KB / 1.893 KB) :

d d ⁢ t ⁢ ⟨ r ¯ ^ ⟩ = 1 m ⁢ ⟨ p ¯ ^ ⟩ d d ⁢ t ⁢ ⟨ p ¯ ^ ⟩ = - ⟨ ∇ ⁡ V ⁢ ( r ¯ ^ ) ⟩ missing-subexpression 𝑑 𝑑 𝑡 delimited-⟨⟩ ^ ¯ 𝑟 1 𝑚 delimited-⟨⟩ ^ ¯ 𝑝 missing-subexpression 𝑑 𝑑 𝑡 delimited-⟨⟩ ^ ¯ 𝑝 delimited-⟨⟩ ∇ 𝑉 ^ ¯ 𝑟 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle\frac{d}{dt}\left% \langle{\hat{\bar{r}}}\right\rangle=\frac{1}{m}\left\langle{\hat{\bar{p}}}% \right\rangle\\ &\displaystyle\frac{d}{dt}\left\langle{\hat{\bar{p}}}\right\rangle=-\left% \langle\nabla V\left({\hat{\bar{r}}}\right)\right\rangle\\ \end{aligned}}}

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MathML (2.489 KB / 409 B) :

ddt⟨r¯^⟩=1m⟨p¯^⟩ddt⟨p¯^⟩=−⟨∇V(r¯^)⟩

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