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Display information for equation id:math.1693.41 on revision:1693
* Page found: Spin- Operatoren und Zustände (eq math.1693.41)
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Hash: 2215cddfb5e6db0f1d40ba3150b4e690
TeX (original user input):
\begin{align}
& {{\left( {{{\hat{\bar{\sigma }}}}_{i}} \right)}_{\alpha \beta }}=\left( \begin{matrix}
\left\langle \uparrow \right|{{{\hat{\bar{\sigma }}}}_{i}}\left| \uparrow \right\rangle & \left\langle \uparrow \right|{{{\hat{\bar{\sigma }}}}_{i}}\left| \downarrow \right\rangle \\
\left\langle \downarrow \right|{{{\hat{\bar{\sigma }}}}_{i}}\left| \uparrow \right\rangle & \left\langle \downarrow \right|{{{\hat{\bar{\sigma }}}}_{i}}\left| \downarrow \right\rangle \\
\end{matrix} \right) \\
& \alpha ,\beta =1,2 \\
& i=1,2,3 \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\left({{\hat {\bar {\sigma }}}_{i}}\right)}_{\alpha \beta }}=\left({\begin{matrix}\left\langle \uparrow \right|{{\hat {\bar {\sigma }}}_{i}}\left|\uparrow \right\rangle &\left\langle \uparrow \right|{{\hat {\bar {\sigma }}}_{i}}\left|\downarrow \right\rangle \\\left\langle \downarrow \right|{{\hat {\bar {\sigma }}}_{i}}\left|\uparrow \right\rangle &\left\langle \downarrow \right|{{\hat {\bar {\sigma }}}_{i}}\left|\downarrow \right\rangle \\\end{matrix}}\right)\\&\alpha ,\beta =1,2\\&i=1,2,3\\\end{aligned}}
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MathML (3.573 KB / 473 B) :

<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>σ</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mi>β</mi></mrow></mrow></msub><mo>=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mo>↑</mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>σ</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>↑</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mtd><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mo>↑</mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>σ</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>↓</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mo>↓</mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>σ</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>↑</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mtd><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mo>↓</mo><mo data-mjx-texclass="CLOSE">|</mo></mrow><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>σ</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>↓</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mi>α</mi><mo>,</mo><mi>β</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn></mtd></mtr><mtr><mtd></mtd><mtd><mi>i</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mn>3</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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