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Display information for equation id:math.1661.82 on revision:1661
* Page found: Der harmonische Oszillator (eq math.1661.82)
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Hash: 708e966b7e6356478e90ce555ceb91a3
TeX (original user input):
\begin{align}
& {{\phi }_{0}}(\xi )={{A}_{0}}{{e}^{\left( -\frac{{{\xi }^{2}}}{2} \right)}} \\
& {{A}_{0}}={{\left( \frac{m\omega }{\hbar \pi } \right)}^{\frac{1}{4}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\phi }_{0}}(\xi )={{A}_{0}}{{e}^{\left(-{\frac {{\xi }^{2}}{2}}\right)}}\\&{{A}_{0}}={{\left({\frac {m\omega }{\hbar \pi }}\right)}^{\frac {1}{4}}}\\\end{aligned}}
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MathML (experimentell; keine Bilder) rendering
MathML (1.746 KB / 435 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>ϕ</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo stretchy="false">(</mo><mi>ξ</mi><mo stretchy="false">)</mo><mo>=</mo><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>ξ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></msup></mtd></mtr><mtr><mtd></mtd><mtd><msub><mi>A</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo>=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>m</mi><mi>ω</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi><mi>π</mi></mrow></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>4</mn></mrow></mfrac></mrow></mrow></msup></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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