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Display information for equation id:math.2693.25 on revision:2693

* Page found: Lösungen der Dirac-Gleichung (freies Teilchen) (eq math.2693.25)

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Lösungen der Dirac-Gleichung (freies Teilchen) Eq: math.2693.25

Hash: 8980d54955c2c30cb4eae15f2116ad97

TeX (original user input):

\begin{align}

& {{\phi }_{+}}^{\left( 1 \right)}=N\left( \begin{align}

& \left( E+m \right){{{\underline{u}}}^{\left( 1 \right)}} \\

& \left( \underline{k}.\underline{\sigma } \right){{{\underline{u}}}^{\left( 1 \right)}} \\

\end{align} \right)\quad {{\phi }_{+}}^{\left( 2 \right)}=N\left( \begin{align}

& \left( E+m \right){{{\underline{u}}}^{\left( 2 \right)}} \\

& \left( \underline{k}.\underline{\sigma } \right){{{\underline{u}}}^{\left( 2 \right)}} \\

\end{align} \right) \\

& {{\phi }_{-}}^{\left( 1 \right)}=N\left( \begin{align}

& \left( \underline{k}.\underline{\sigma } \right){{{\underline{u}}}^{\left( 1 \right)}} \\

& \left( E+m \right){{{\underline{u}}}^{\left( 1 \right)}} \\

\end{align} \right)\quad {{\phi }_{-}}^{\left( 2 \right)}=N\left( \begin{align}

& \left( \underline{k}.\underline{\sigma } \right){{{\underline{u}}}^{\left( 2 \right)}} \\

& \left( E+m \right){{{\underline{u}}}^{\left( 2 \right)}} \\

\end{align} \right) \\

\end{align}

TeX (checked):

{\begin{aligned}&{{\phi }_{+}}^{\left(1\right)}=N\left({\begin{aligned}&\left(E+m\right){{\underline {u}}^{\left(1\right)}}\\&\left({\underline {k}}.{\underline {\sigma }}\right){{\underline {u}}^{\left(1\right)}}\\\end{aligned}}\right)\quad {{\phi }_{+}}^{\left(2\right)}=N\left({\begin{aligned}&\left(E+m\right){{\underline {u}}^{\left(2\right)}}\\&\left({\underline {k}}.{\underline {\sigma }}\right){{\underline {u}}^{\left(2\right)}}\\\end{aligned}}\right)\\&{{\phi }_{-}}^{\left(1\right)}=N\left({\begin{aligned}&\left({\underline {k}}.{\underline {\sigma }}\right){{\underline {u}}^{\left(1\right)}}\\&\left(E+m\right){{\underline {u}}^{\left(1\right)}}\\\end{aligned}}\right)\quad {{\phi }_{-}}^{\left(2\right)}=N\left({\begin{aligned}&\left({\underline {k}}.{\underline {\sigma }}\right){{\underline {u}}^{\left(2\right)}}\\&\left(E+m\right){{\underline {u}}^{\left(2\right)}}\\\end{aligned}}\right)\\\end{aligned}}

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MathML (6.795 KB / 483 B) :

\begin{aligned} {ϕ_{+}}^{(1)} = N (\begin{aligned} (E + m) {\underline{u}}^{(1)} \\ (\underline{k} . \underline{σ}) {\underline{u}}^{(1)} \end{aligned}) {ϕ_{+}}^{(2)} = N (\begin{aligned} (E + m) {\underline{u}}^{(2)} \\ (\underline{k} . \underline{σ}) {\underline{u}}^{(2)} \end{aligned}) \\ {ϕ_{-}}^{(1)} = N (\begin{aligned} (\underline{k} . \underline{σ}) {\underline{u}}^{(1)} \\ (E + m) {\underline{u}}^{(1)} \end{aligned}) {ϕ_{-}}^{(2)} = N (\begin{aligned} (\underline{k} . \underline{σ}) {\underline{u}}^{(2)} \\ (E + m) {\underline{u}}^{(2)} \end{aligned}) \end{aligned}

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Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Identifiers

$ϕ_{+}$

$N$

$E$

$m$

$\underline{u}$

$\underline{k}$

$\underline{σ}$

$\underline{u}$

$ϕ_{+}$

$N$

$E$

$m$

$\underline{u}$

$\underline{k}$

$\underline{σ}$

$\underline{u}$

$ϕ_{-}$

$N$

$\underline{k}$

$\underline{σ}$

$\underline{u}$

$E$

$m$

$\underline{u}$

$ϕ_{-}$

$N$

$\underline{k}$

$\underline{σ}$

$\underline{u}$

$E$

$m$

$\underline{u}$

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