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Display information for equation id:math.1678.18 on revision:1678
* Page found: Das Wasserstoffatom (eq math.1678.18)
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Hash: 6d3dd6e56a51f549a04a599c3c47ba8a
TeX (original user input):
\begin{align}
& \left( \frac{{{p}^{2}}_{rad}}{2m}+V{{(r)}_{eff}} \right)\Psi =0 \\
& \frac{{{p}^{2}}_{rad}}{2m}=-\frac{{{\hbar }^{2}}}{2m}\frac{{{d}^{2}}}{d{{r}^{2}}} \\
\end{align}
TeX (checked):
{\begin{aligned}&\left({\frac {{{p}^{2}}_{rad}}{2m}}+V{{(r)}_{eff}}\right)\Psi =0\\&{\frac {{{p}^{2}}_{rad}}{2m}}=-{\frac {{\hbar }^{2}}{2m}}{\frac {{d}^{2}}{d{{r}^{2}}}}\\\end{aligned}}
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MathML (2.206 KB / 464 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><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>a</mi><mi>d</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><mo>+</mo><mi>V</mi><msub><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>e</mi><mi>f</mi><mi>f</mi></mrow></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi mathvariant="normal">Ψ</mi><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msub><msup><mi>p</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>r</mi><mi>a</mi><mi>d</mi></mrow></mrow></msub></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><mo>=</mo><mo>−</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi data-mjx-alternate="1">ℏ</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>d</mi><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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