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Display information for equation id:math.1819.26 on revision:1819

* Page found: Der nichtrelativistische Grenzfall (eq math.1819.26)

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Der nichtrelativistische Grenzfall Eq: math.1821.26

Hash: ce931ca4a65874f95645be21c0176906

TeX (original user input):

\begin{align}

& \left( \bar{\sigma }\bar{\pi } \right)\left( \bar{\sigma }\bar{\pi } \right)={{{\bar{\pi }}}^{2}}+i\bar{\sigma }\left( \bar{\pi }\times \bar{\pi } \right) \\

& \Rightarrow i\hbar {{{\dot{\phi }}}_{a}}=\left[ \frac{1}{2{{m}_{0}}}\left( {{{\bar{\pi }}}^{2}}+i\bar{\sigma }\left( \bar{\pi }\times \bar{\pi } \right) \right)+e\Phi  \right]{{\phi }_{a}} \\

\end{align}

TeX (checked):

{\begin{aligned}&\left({\bar {\sigma }}{\bar {\pi }}\right)\left({\bar {\sigma }}{\bar {\pi }}\right)={{\bar {\pi }}^{2}}+i{\bar {\sigma }}\left({\bar {\pi }}\times {\bar {\pi }}\right)\\&\Rightarrow i\hbar {{\dot {\phi }}_{a}}=\left[{\frac {1}{2{{m}_{0}}}}\left({{\bar {\pi }}^{2}}+i{\bar {\sigma }}\left({\bar {\pi }}\times {\bar {\pi }}\right)\right)+e\Phi \right]{{\phi }_{a}}\\\end{aligned}}

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MathML (3.32 KB / 509 B) :

\begin{aligned} (\bar{σ} \bar{π}) (\bar{σ} \bar{π}) = {\bar{π}}^{2} + i \bar{σ} (\bar{π} \times \bar{π}) \\ \Rightarrow i ℏ {\dot{ϕ}}_{a} = [\frac{1}{2 m_{0}} ({\bar{π}}^{2} + i \bar{σ} (\bar{π} \times \bar{π})) + e Φ] ϕ_{a} \end{aligned}

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Identifiers

$\bar{σ}$

$\bar{π}$

$\bar{σ}$

$\bar{π}$

$\bar{π}$

$i$

$\bar{σ}$

$\bar{π}$

$\bar{π}$

$i$

${\dot{ϕ}}_{a}$

$m_{0}$

$\bar{π}$

$i$

$\bar{σ}$

$\bar{π}$

$\bar{π}$

$e$

$Φ$

$ϕ_{a}$

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