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Display information for equation id:math.1680.60 on revision:1680

* Page found: Das Wasserstoffatom (eq math.1680.60)

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Occurrences on the following pages:

Hash: 9a7190015525f237d069b5e5de27059f

TeX (original user input):

\begin{align}
& {{\Psi }_{n,n-1,m}}(\bar{r})\tilde{\ }{{r}^{n-1}}{{e}^{-\frac{r}{{{a}_{0}}n}}} \\
& \begin{matrix}
\lim   \\
r->0  \\
\end{matrix}{{\Psi }_{n,n-1,m}}=0\quad ,l\ne 0 \\
\end{align}

TeX (checked):

{\begin{aligned}&{{\Psi }_{n,n-1,m}}({\bar {r}}){\tilde {\ }}{{r}^{n-1}}{{e}^{-{\frac {r}{{{a}_{0}}n}}}}\\&{\begin{matrix}\lim \\r->0\\\end{matrix}}{{\Psi }_{n,n-1,m}}=0\quad ,l\neq 0\\\end{aligned}}

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MathML (experimental; no images) rendering

MathML (1.949 KB / 473 B) :

Ψn,n1,m(r¯)~rn1era0nlimr>0Ψn,n1,m=0,l0
<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 mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>,</mo><mi>n</mi><mo>&#x2212;</mo><mn>1</mn><mo>,</mo><mi>m</mi></mrow></mrow></msub><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mspace width="0.5em"/><mo>~</mo></mover></mrow></mrow><msup><mi>r</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>&#x2212;</mo><mn>1</mn></mrow></mrow></msup><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>r</mi></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mi>n</mi></mrow></mrow></mfrac></mrow></mrow></mrow></msup></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mtable columnspacing="1em" rowspacing="4pt"><mtr><mtd><mi>lim</mi></mtd></mtr><mtr><mtd><mi>r</mi><mo>&#x2212;</mo><mo>&gt;</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>,</mo><mi>n</mi><mo>&#x2212;</mo><mn>1</mn><mo>,</mo><mi>m</mi></mrow></mrow></msub><mo>=</mo><mn>0</mn><mspace width="1em"></mspace><mo>,</mo><mi>l</mi><mo>&#x2260;</mo><mn>0</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Das Wasserstoffatom page

Identifiers

  • Ψn,n1,m
  • r¯
  • ~
  • r
  • n
  • e
  • r
  • a0
  • n
  • r
  • Ψn,n1,m
  • l

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