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Display information for equation id:math.1675.88 on revision:1675
* Page found: Kugelsymmetrische Potentiale (eq math.1675.88)
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Hash: 504f5856396441bd221ca786528907e5
TeX (original user input):
\begin{align}
& -\frac{{{\hbar }^{2}}}{2m}\frac{{{d}^{2}}}{d{{r}^{2}}}u=Eu \\
& \Rightarrow u\tilde{\ }{{e}^{-kr}} \\
& k:=\frac{1}{\hbar }\sqrt{2m\left( -E \right)} \\
\end{align}
TeX (checked):
{\begin{aligned}&-{\frac {{\hbar }^{2}}{2m}}{\frac {{d}^{2}}{d{{r}^{2}}}}u=Eu\\&\Rightarrow u{\tilde {\ }}{{e}^{-kr}}\\&k:={\frac {1}{\hbar }}{\sqrt {2m\left(-E\right)}}\\\end{aligned}}
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MathML (1.866 KB / 459 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><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><mi>u</mi><mo>=</mo><mi>E</mi><mi>u</mi></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mi>u</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo>~</mo></mover></mrow></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>−</mo><mi>k</mi><mi>r</mi></mrow></mrow></msup></mtd></mtr><mtr><mtd></mtd><mtd><mi>k</mi><mi>:</mi><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">ℏ</mi></mrow></mfrac></mrow><mrow data-mjx-texclass="ORD"><msqrt><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mo>−</mo><mi>E</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></msqrt></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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