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Display information for equation id:math.1677.84 on revision:1677
* Page found: Kugelsymmetrische Potentiale (eq math.1677.84)
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Hash: 6220912874dbb6dab13dc0c6ace63b5e
TeX (original user input):
\begin{align}
& \left\langle {\hat{\bar{r}}} | nlm \right\rangle ={{\Psi }_{nlm}}(\bar{r})=\Psi (r,\vartheta ,\phi )={{R}_{nl}}(r){{Y}_{l}}^{m}(\vartheta ,\phi )=\frac{{{u}_{nl}}(r)}{r}{{Y}_{l}}^{m}(\vartheta ,\phi ) \\
& {{R}_{nl}}(r)=\frac{{{u}_{nl}}(r)}{r} \\
\end{align}
TeX (checked):
{\begin{aligned}&\left\langle {\hat {\bar {r}}}|nlm\right\rangle ={{\Psi }_{nlm}}({\bar {r}})=\Psi (r,\vartheta ,\phi )={{R}_{nl}}(r){{Y}_{l}}^{m}(\vartheta ,\phi )={\frac {{{u}_{nl}}(r)}{r}}{{Y}_{l}}^{m}(\vartheta ,\phi )\\&{{R}_{nl}}(r)={\frac {{{u}_{nl}}(r)}{r}}\\\end{aligned}}
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MathML (2.634 KB / 442 B) :
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mover><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">̂</mo></mover><mo stretchy="false">|</mo><mi>n</mi><mi>l</mi><mi>m</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">=</mo><msub><mi>Ψ</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>l</mi><mi>m</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mover><mi>r</mi><mo>¯</mo></mover><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mi>Ψ</mi><mo stretchy="false">(</mo><mi>r</mi><mo>,</mo><mi>ϑ</mi><mo>,</mo><mi>ϕ</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo><msup><msub><mi>Y</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msup><mo stretchy="false">(</mo><mi>ϑ</mi><mo>,</mo><mi>ϕ</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></mfrac></mrow><msup><msub><mi>Y</mi><mrow data-mjx-texclass="ORD"><mi>l</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mi>m</mi></mrow></msup><mo stretchy="false">(</mo><mi>ϑ</mi><mo>,</mo><mi>ϕ</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mi>R</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>u</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>l</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mi>r</mi><mo stretchy="false">)</mo></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow></mfrac></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>
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