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Display information for equation id:math.1695.20 on revision:1695

* Page found: Dynamik des 2- Zustands- Systems (eq math.1695.20)

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Dynamik des 2- Zustands- Systems Eq: math.1699.20

Hash: a77710ac44b83ac5dba3e21b257db936

TeX (original user input):

\hbar {{\omega }_{l}}\left( \begin{matrix}
1 & 0  \\
0 & -1  \\
\end{matrix} \right)\left( \begin{matrix}
{{a}_{1}}(t)  \\
{{a}_{2}}(t)  \\
\end{matrix} \right)=i\hbar \frac{\partial }{\partial t}\left( \begin{matrix}
{{a}_{1}}(t)  \\
{{a}_{2}}(t)  \\
\end{matrix} \right)\Leftrightarrow \begin{matrix}
-i{{\omega }_{l}}{{a}_{1}}={{{\dot{a}}}_{1}}  \\
i{{\omega }_{l}}{{a}_{2}}={{{\dot{a}}}_{2}}  \\
\end{matrix}

TeX (checked):

\hbar {{\omega }_{l}}\left({\begin{matrix}1&0\\0&-1\\\end{matrix}}\right)\left({\begin{matrix}{{a}_{1}}(t)\\{{a}_{2}}(t)\\\end{matrix}}\right)=i\hbar {\frac {\partial }{\partial t}}\left({\begin{matrix}{{a}_{1}}(t)\\{{a}_{2}}(t)\\\end{matrix}}\right)\Leftrightarrow {\begin{matrix}-i{{\omega }_{l}}{{a}_{1}}={{\dot {a}}_{1}}\\i{{\omega }_{l}}{{a}_{2}}={{\dot {a}}_{2}}\\\end{matrix}}

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MathML (2.77 KB / 464 B) :

ℏ ω_{l} (\begin{matrix} 1 & 0 \\ 0 & - 1 \end{matrix}) (\begin{matrix} a_{1} (t) \\ a_{2} (t) \end{matrix}) = i ℏ \frac{\partial}{\partial t} (\begin{matrix} a_{1} (t) \\ a_{2} (t) \end{matrix}) \Leftrightarrow \begin{matrix} - i ω_{l} a_{1} = {\dot{a}}_{1} \\ i ω_{l} a_{2} = {\dot{a}}_{2} \end{matrix}

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Identifiers

$ω_{l}$

$a_{1}$

$t$

$a_{2}$

$t$

$i$

$t$

$a_{1}$

$t$

$a_{2}$

$t$

$i$

$ω_{l}$

$a_{1}$

${\dot{a}}_{1}$

$i$

$ω_{l}$

$a_{2}$

${\dot{a}}_{2}$

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