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Display information for equation id:math.1672.14 on revision:1672
* Page found: Ortsdarstellung des Bahndrehimpulses (eq math.1672.14)
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Hash: 840d88c288804ff1b3b72d0be3f7e531
TeX (original user input):
\begin{align}
& {{{\hat{L}}}_{+}}\left| l,l \right\rangle =0 \\
& \Rightarrow \hbar {{e}^{i\left( l+1 \right)\phi }}\left( \frac{\partial }{\partial \vartheta }-l\cot \vartheta \right){{f}_{ll}}(r,\vartheta )=0 \\
\end{align}
TeX (checked):
{\begin{aligned}&{{\hat {L}}_{+}}\left|l,l\right\rangle =0\\&\Rightarrow \hbar {{e}^{i\left(l+1\right)\phi }}\left({\frac {\partial }{\partial \vartheta }}-l\cot \vartheta \right){{f}_{ll}}(r,\vartheta )=0\\\end{aligned}}
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MathML (1.73 KB / 486 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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>L</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mo>+</mo></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>l</mi><mo>,</mo><mi>l</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇒</mo><mi data-mjx-alternate="1">ℏ</mi><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>l</mi><mo>+</mo><mn>1</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>ϕ</mi></mrow></mrow></msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>∂</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>∂</mi><mi>ϑ</mi></mrow></mrow></mfrac></mrow><mo>−</mo><mi>l</mi><mi>cot</mi><mo>⁡</mo><mi>ϑ</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><msub><mi>f</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>l</mi><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>ϑ</mi><mo stretchy="false">)</mo><mo>=</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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