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Display information for equation id:math.1693.45 on revision:1693
* Page found: Spin- Operatoren und Zustände (eq math.1693.45)
(force rerendering)Occurrences on the following pages:
Hash: b76fd6e9c90559e9ba244e50c7528433
TeX (original user input):
\begin{align}
& \left( \begin{matrix}
\left\langle \alpha | \uparrow \right\rangle ={{\delta }_{\alpha 1}} \\
\left\langle \alpha | \downarrow \right\rangle ={{\delta }_{\alpha 2}} \\
\end{matrix} \right) \\
& \left| \uparrow \right\rangle =\left( \begin{matrix}
1 \\
0 \\
\end{matrix} \right) \\
& \left| \downarrow \right\rangle =\left( \begin{matrix}
0 \\
1 \\
\end{matrix} \right) \\
\end{align}
TeX (checked):
{\begin{aligned}&\left({\begin{matrix}\left\langle \alpha |\uparrow \right\rangle ={{\delta }_{\alpha 1}}\\\left\langle \alpha |\downarrow \right\rangle ={{\delta }_{\alpha 2}}\\\end{matrix}}\right)\\&\left|\uparrow \right\rangle =\left({\begin{matrix}1\\0\\\end{matrix}}\right)\\&\left|\downarrow \right\rangle =\left({\begin{matrix}0\\1\\\end{matrix}}\right)\\\end{aligned}}
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<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><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><mi>α</mi><mo>|</mo><mo>↑</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mn>1</mn></mrow></mrow></msub></mtd></mtr><mtr><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>α</mi><mo>|</mo><mo>↓</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>α</mi><mn>2</mn></mrow></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>↑</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><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><mn>1</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo>↓</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><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><mn>0</mn></mtd></mtr><mtr><mtd><mn>1</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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