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Display information for equation id:math.2672.10 on revision:2672

* Page found: Dirac-Gleichung und Spin: nichtrelativistischer Grenzfall (eq math.2672.10)

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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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\begin{matrix} {{\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{matrix}

<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">{</mo><msub><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>,</mo><msub><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo data-mjx-texclass="CLOSE">}</mo></mrow><mo stretchy="false">:=</mo><msub><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">+</mo><msub><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><msub><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mn>2</mn><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi></mrow></mrow></msub><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mn>1</mn><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><msub><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo>,</mo><msub><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo data-mjx-texclass="CLOSE">]</mo></mrow><mo stretchy="false">:=</mo><msub><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><msub><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><mo stretchy="false">−</mo><msub><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mi>j</mi></mrow></msub><msub><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo stretchy="false">=</mo><mn>2</mn><mrow data-mjx-texclass="ORD"><mi>𝔦</mi></mrow><msub><mi>ε</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mi>j</mi><mi>k</mi></mrow></mrow></msub><msub><mrow data-mjx-texclass="ORD"><munder><mrow data-mjx-texclass="ORD"><munder><mi>σ</mi><mo>_</mo></munder></mrow><mo>_</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mi>k</mi></mrow></msub></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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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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