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Display information for equation id:math.1756.1 on revision:1756

* Page found: Stark Effekt im H- Atom (eq math.1756.1)

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Hash: 8a45153a8cccbe4dfce14ac6e74efd18

TeX (original user input): 

\begin{align}
& \hat{H}=\frac{{{{\hat{\bar{p}}}}^{2}}}{2m}-\frac{{{e}^{2}}}{4\pi {{\varepsilon }_{0}}\hat{r}}-e\bar{E}\hat{\bar{r}} \\
& -e\bar{E}\hat{\bar{r}}={{{\hat{H}}}^{(1)}} \\
& \frac{{{{\hat{\bar{p}}}}^{2}}}{2m}-\frac{{{e}^{2}}}{4\pi {{\varepsilon }_{0}}\hat{r}}={{{\hat{H}}}^{(0)}} \\
\end{align}

TeX (checked): 

{\begin{aligned}&{\hat {H}}={\frac {{\hat {\bar {p}}}^{2}}{2m}}-{\frac {{e}^{2}}{4\pi {{\varepsilon }_{0}}{\hat {r}}}}-e{\bar {E}}{\hat {\bar {r}}}\\&-e{\bar {E}}{\hat {\bar {r}}}={{\hat {H}}^{(1)}}\\&{\frac {{\hat {\bar {p}}}^{2}}{2m}}-{\frac {{e}^{2}}{4\pi {{\varepsilon }_{0}}{\hat {r}}}}={{\hat {H}}^{(0)}}\\\end{aligned}}

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MathML (experimentell; keine Bilder) rendering

MathML (3.617 KB / 452 B) :

H^=p¯^22m−e24πε0r^−eE¯r¯^−eE¯r¯^=H^(1)p¯^22m−e24πε0r^=H^(0)
<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><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><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><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>&#x03C0;</mi><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>^</mo></mover></mrow></mrow></mrow></mrow></mfrac></mrow><mo>&#x2212;</mo><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow></mtd></mtr><mtr><mtd></mtd><mtd><mo>&#x2212;</mo><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>E</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><mo>=</mo><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>1</mn><mo stretchy="false">)</mo></mrow></mrow></msup></mtd></mtr><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>p</mi><mo>¯</mo></mover></mrow></mrow><mo>^</mo></mover></mrow></mrow><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><mo>&#x2212;</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>4</mn><mi>&#x03C0;</mi><msub><mi>&#x03B5;</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>^</mo></mover></mrow></mrow></mrow></mrow></mfrac></mrow><mo>=</mo><msup><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">(</mo><mn>0</mn><mo stretchy="false">)</mo></mrow></mrow></msup></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Stark Effekt im H- Atom page

Identifiers

  • H^
  • p¯^
  • m
  • e
  • π
  • ε0
  • r^
  • e
  • E¯
  • r¯^
  • e
  • E¯
  • r¯^
  • H^
  • p¯^
  • m
  • e
  • π
  • ε0
  • r^
  • H^

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Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“