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Display information for equation id:math.1691.17 on revision:1691
* Page found: Spin- Operatoren und Zustände (eq math.1691.17)
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Hash: 8a0b0821848497964e53aa0aad667556
TeX (original user input):
\begin{align}
& \left| a(t) \right\rangle =\left| \uparrow \right\rangle \left\langle \uparrow | a(t) \right\rangle +\left| \downarrow \right\rangle \left\langle \downarrow | a(t) \right\rangle \\
& \left\langle \uparrow | a(t) \right\rangle :={{a}_{1}}(t) \\
& \left\langle \downarrow | a(t) \right\rangle :={{a}_{2}}(t) \\
\end{align}
TeX (checked):
{\begin{aligned}&\left|a(t)\right\rangle =\left|\uparrow \right\rangle \left\langle \uparrow |a(t)\right\rangle +\left|\downarrow \right\rangle \left\langle \downarrow |a(t)\right\rangle \\&\left\langle \uparrow |a(t)\right\rangle :={{a}_{1}}(t)\\&\left\langle \downarrow |a(t)\right\rangle :={{a}_{2}}(t)\\\end{aligned}}
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MathML (2.336 KB / 355 B) :
<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><mi>a</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo stretchy="false">↑</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mo stretchy="false">↑</mo><mo stretchy="false">|</mo><mi>a</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mo stretchy="false">↓</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mo stretchy="false">↓</mo><mo stretchy="false">|</mo><mi>a</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">⟩</mo></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><mo stretchy="false">↑</mo><mo stretchy="false">|</mo><mi>a</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">:=</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></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><mo stretchy="false">↓</mo><mo stretchy="false">|</mo><mi>a</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">:=</mo><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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