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Display information for equation id:math.1571.31 on revision:1571

* Page found: Kräftefreie Schrödingergleichung (eq math.1571.31)

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Hash: 2eb36f2a087e95ec0f2e018f4b45e7e0

TeX (original user input):

\begin{align}
& \Psi (\bar{r},t)=\int_{{}}^{{}}{\tilde{\Psi }(\bar{k})}{{e}^{i(\bar{k}\bar{r}-\omega t)}}{{d}^{3}}k \\
& \omega (\bar{k})=\frac{\hbar {{k}^{2}}}{2m} \\
\end{align}

TeX (checked):

{\begin{aligned}&\Psi ({\bar {r}},t)=\int _{}^{}{{\tilde {\Psi }}({\bar {k}})}{{e}^{i({\bar {k}}{\bar {r}}-\omega t)}}{{d}^{3}}k\\&\omega ({\bar {k}})={\frac {\hbar {{k}^{2}}}{2m}}\\\end{aligned}}

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MathML (2.216 KB / 485 B) :

Ψ(r¯,t)=Ψ~(k¯)ei(k¯r¯ωt)d3kω(k¯)=k22m
<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><mi mathvariant="normal">&#x03A8;</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>,</mo><mi>t</mi><mo stretchy="false">)</mo><mo>=</mo><mstyle displaystyle="true" scriptlevel="0"><munderover><mo texclass="OP">&#x222B;</mo><mrow data-mjx-texclass="ORD"></mrow><mrow data-mjx-texclass="ORD"></mrow></munderover></mstyle><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi mathvariant="normal">&#x03A8;</mi><mo>~</mo></mover></mrow></mrow><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo></mrow><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>r</mi><mo>¯</mo></mover></mrow></mrow><mo>&#x2212;</mo><mi>&#x03C9;</mi><mi>t</mi><mo stretchy="false">)</mo></mrow></mrow></msup><msup><mi>d</mi><mrow data-mjx-texclass="ORD"><mn>3</mn></mrow></msup><mi>k</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>&#x03C9;</mi><mo stretchy="false">(</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>k</mi><mo>¯</mo></mover></mrow></mrow><mo stretchy="false">)</mo><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">&#x210F;</mi><msup><mi>k</mi><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mn>2</mn><mi>m</mi></mrow></mrow></mfrac></mrow></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Kräftefreie Schrödingergleichung page

Identifiers

  • Ψ
  • r¯
  • t
  • Ψ~
  • k¯
  • e
  • i
  • k¯
  • r¯
  • ω
  • t
  • k
  • ω
  • k¯
  • k
  • m

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