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Display information for equation id:math.2673.9 on revision:2673

* Page found: Dirac-Gleichung und Spin: nichtrelativistischer Grenzfall (eq math.2673.9)

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Dirac-Gleichung und Spin: nichtrelativistischer Grenzfall Eq: math.2679.10

Hash: 9348125a0b3ced10d331a7787316490c

TeX (original user input):

\begin{align}

& \left\{ {{{\underline{\underline{\sigma }}}}_{i}},{{{\underline{\underline{\sigma }}}}_{j}} \right\}:={{{\underline{\underline{\sigma }}}}_{i}}{{{\underline{\underline{\sigma }}}}_{j}}+{{{\underline{\underline{\sigma }}}}_{j}}{{{\underline{\underline{\sigma }}}}_{i}}=2{{\delta }_{ij}}\underline{\underline{1}} \\

& \left[ {{{\underline{\underline{\sigma }}}}_{i}},{{{\underline{\underline{\sigma }}}}_{j}} \right]:={{{\underline{\underline{\sigma }}}}_{i}}{{{\underline{\underline{\sigma }}}}_{j}}-{{{\underline{\underline{\sigma }}}}_{j}}{{{\underline{\underline{\sigma }}}}_{i}}=2\mathfrak{i} {{\varepsilon }_{ijk}}{{{\underline{\underline{\sigma }}}}_{k}} \\

\end{align}

TeX (checked):

{\begin{aligned}&\left\{{{\underline {\underline {\sigma }}}_{i}},{{\underline {\underline {\sigma }}}_{j}}\right\}:={{\underline {\underline {\sigma }}}_{i}}{{\underline {\underline {\sigma }}}_{j}}+{{\underline {\underline {\sigma }}}_{j}}{{\underline {\underline {\sigma }}}_{i}}=2{{\delta }_{ij}}{\underline {\underline {1}}}\\&\left[{{\underline {\underline {\sigma }}}_{i}},{{\underline {\underline {\sigma }}}_{j}}\right]:={{\underline {\underline {\sigma }}}_{i}}{{\underline {\underline {\sigma }}}_{j}}-{{\underline {\underline {\sigma }}}_{j}}{{\underline {\underline {\sigma }}}_{i}}=2{\mathfrak {i}}{{\varepsilon }_{ijk}}{{\underline {\underline {\sigma }}}_{k}}\\\end{aligned}}

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MathML (3.91 KB / 457 B) :

\begin{aligned} {{\underline{\underline{σ}}}_{i}, {\underline{\underline{σ}}}_{j}} : = {\underline{\underline{σ}}}_{i} {\underline{\underline{σ}}}_{j} + {\underline{\underline{σ}}}_{j} {\underline{\underline{σ}}}_{i} = 2 δ_{i j} \underline{\underline{1}} \\ [{\underline{\underline{σ}}}_{i}, {\underline{\underline{σ}}}_{j}] : = {\underline{\underline{σ}}}_{i} {\underline{\underline{σ}}}_{j} - {\underline{\underline{σ}}}_{j} {\underline{\underline{σ}}}_{i} = 2 i ε_{i j k} {\underline{\underline{σ}}}_{k} \end{aligned}

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Identifiers

${\underline{\underline{σ}}}_{i}$

${\underline{\underline{σ}}}_{j}$

${\underline{\underline{σ}}}_{i}$

${\underline{\underline{σ}}}_{j}$

${\underline{\underline{σ}}}_{j}$

${\underline{\underline{σ}}}_{i}$

$δ_{i j}$

$\underline{\underline{1}}$

${\underline{\underline{σ}}}_{i}$

${\underline{\underline{σ}}}_{j}$

${\underline{\underline{σ}}}_{i}$

${\underline{\underline{σ}}}_{j}$

${\underline{\underline{σ}}}_{j}$

${\underline{\underline{σ}}}_{i}$

$i$

$ε_{i j k}$

${\underline{\underline{σ}}}_{k}$

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