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Display information for equation id:math.2691.22 on revision:2691

* Page found: Lösungen der Dirac-Gleichung (freies Teilchen) (eq math.2691.22)

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Lösungen der Dirac-Gleichung (freies Teilchen) Eq: math.2693.22

Hash: 65f33a92318e8450d0bc0dac5e4385dc

TeX (original user input):

\begin{align}

& {{{\tilde{\phi }}}_{+}}=\left( E+m \right)\left( \begin{align}

& {{u}_{1}} \\

& {{u}_{2}} \\

& 0 \\

& 0 \\

\end{align} \right)-{{k}_{x}}\left( \begin{matrix}

0 & {{\sigma }_{x}}  \\

-{{\sigma }_{x}} & 0  \\

\end{matrix} \right)\left( \begin{align}

& {{u}_{1}} \\

& {{u}_{2}} \\

& 0 \\

& 0 \\

\end{align} \right)-{{k}_{y}}... \\

& =\left( \begin{align}

& \left( E+m \right)\left( \begin{align}

& {{u}_{1}} \\

& {{u}_{2}} \\

\end{align} \right) \\

& \underline{k}.\underline{\sigma }\left( \begin{align}

& {{u}_{1}} \\

& {{u}_{2}} \\

\end{align} \right) \\

\end{align} \right)

\end{align}

TeX (checked):

{\begin{aligned}&{{\tilde {\phi }}_{+}}=\left(E+m\right)\left({\begin{aligned}&{{u}_{1}}\\&{{u}_{2}}\\&0\\&0\\\end{aligned}}\right)-{{k}_{x}}\left({\begin{matrix}0&{{\sigma }_{x}}\\-{{\sigma }_{x}}&0\\\end{matrix}}\right)\left({\begin{aligned}&{{u}_{1}}\\&{{u}_{2}}\\&0\\&0\\\end{aligned}}\right)-{{k}_{y}}...\\&=\left({\begin{aligned}&\left(E+m\right)\left({\begin{aligned}&{{u}_{1}}\\&{{u}_{2}}\\\end{aligned}}\right)\\&{\underline {k}}.{\underline {\sigma }}\left({\begin{aligned}&{{u}_{1}}\\&{{u}_{2}}\\\end{aligned}}\right)\\\end{aligned}}\right)\end{aligned}}

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MathML (4.665 KB / 513 B) :

\begin{matrix} {\tilde{ϕ}}_{+} = (E + m) (\begin{matrix} u_{1} \\ u_{2} \\ 0 \\ 0 \end{matrix}) - k_{x} (\begin{matrix} 0 & σ_{x} \\ - σ_{x} & 0 \end{matrix}) (\begin{matrix} u_{1} \\ u_{2} \\ 0 \\ 0 \end{matrix}) - k_{y} ... \\ = (\begin{matrix} (E + m) (\begin{matrix} u_{1} \\ u_{2} \end{matrix}) \\ \underline{k} . \underline{σ} (\begin{matrix} u_{1} \\ u_{2} \end{matrix}) \end{matrix}) \end{matrix}

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Translations to Computer Algebra Systems

Translation to Maple

In Maple:

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In Mathematica:

Identifiers

${\tilde{ϕ}}_{+}$

$E$

$m$

$u_{1}$

$u_{2}$

$k_{x}$

$σ_{x}$

$σ_{x}$

$u_{1}$

$u_{2}$

$k_{y}$

$E$

$m$

$u_{1}$

$u_{2}$

$\underline{k}$

$\underline{σ}$

$u_{1}$

$u_{2}$

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LaTeXML (experimentell; verwendet MathML) rendering

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Translation to Maple

Translation to Mathematica

Similar pages

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MathML observations

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