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Display information for equation id:math.1681.54 on revision:1681

* Page found: Das Wasserstoffatom (eq math.1681.54)

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Occurrences on the following pages:

Hash: 13fd08c9d5f006be61f4b9c919750d93

TeX (original user input):

{{\Psi }_{100}}(\bar{r})={{\left[ \frac{1}{{{\left( \pi {{a}_{0}} \right)}^{3}}} \right]}^{\frac{1}{2}}}{{e}^{-\frac{r}{{{a}_{0}}}}}

TeX (checked):

{{\Psi }_{100}}({\bar {r}})={{\left[{\frac {1}{{\left(\pi {{a}_{0}}\right)}^{3}}}\right]}^{\frac {1}{2}}}{{e}^{-{\frac {r}{{a}_{0}}}}}

LaTeXML (experimentell; verwendet MathML) rendering

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MathML (experimentell; keine Bilder) rendering

MathML (1.483 KB / 378 B) :

Ψ100(r¯)=[1(πa0)3]12era0
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi mathvariant="normal">&#x03A8;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>1</mn><mn>0</mn><mn>0</mn></mrow></mrow></msub></mstyle><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><mo>=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>&#x03C0;</mi><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup></mrow></mfrac></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></mfrac></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"><msub><mi>a</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mrow></mfrac></mrow></mrow></mrow></msup></mrow></math>

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

Identifiers

  • Ψ100
  • r¯
  • π
  • a0
  • e
  • r
  • a0

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