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Display information for equation id:math.1732.63 on revision:1732
* Page found: Zeitabhängige Störungsrechnung (eq math.1732.63)
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Hash: 51634b624b3983ac7cbb343c2fd784a6
TeX (original user input):
\begin{align}
& {{D}_{t}}(E)=:\frac{2\pi }{\hbar }t{{\delta }_{t}}(E) \\
& \begin{matrix}
\lim \\
t\to \infty \\
\end{matrix}{{D}_{t}}(E)=\frac{2\pi }{\hbar }t\delta (E) \\
\end{align}
TeX (checked):
{\begin{aligned}&{{D}_{t}}(E)=:{\frac {2\pi }{\hbar }}t{{\delta }_{t}}(E)\\&{\begin{matrix}\lim \\t\to \infty \\\end{matrix}}{{D}_{t}}(E)={\frac {2\pi }{\hbar }}t\delta (E)\\\end{aligned}}
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MathML (1.698 KB / 416 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><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo stretchy="false">(</mo><mi>E</mi><mo stretchy="false">)</mo><mo>=</mo><mi>:</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow></mfrac></mrow><mi>t</mi><msub><mi>δ</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo stretchy="false">(</mo><mi>E</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>lim</mi></mtd></mtr><mtr><mtd><mi>t</mi><mo accent="false">→</mo><mi mathvariant="normal">∞</mi></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><msub><mi>D</mi><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo stretchy="false">(</mo><mi>E</mi><mo stretchy="false">)</mo><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>π</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow></mfrac></mrow><mi>t</mi><mi>δ</mi><mo stretchy="false">(</mo><mi>E</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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