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Display information for equation id:math.1596.4 on revision:1596

* Page found: Zeitunabhängige Schrödinger- Gleichung und stationäre Zustände (eq math.1596.4)

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Hash: 66d38c205331bc2d1e0b7d09be550423

TeX (original user input):

\begin{align}
& \Psi (\bar{r},t)=\phi (\bar{r})+T(t) \\
& i\hbar \phi \dot{T}=T\hat{H}\phi  \\
& i\hbar \phi \frac{{\dot{T}}}{T}=\frac{\hat{H}\phi }{\phi } \\
\end{align}

TeX (checked):

{\begin{aligned}&\Psi ({\bar {r}},t)=\phi ({\bar {r}})+T(t)\\&i\hbar \phi {\dot {T}}=T{\hat {H}}\phi \\&i\hbar \phi {\frac {\dot {T}}{T}}={\frac {{\hat {H}}\phi }{\phi }}\\\end{aligned}}

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MathML (1.926 KB / 422 B) :

Ψ(r¯,t)=ϕ(r¯)+T(t)iϕT˙=TH^ϕiϕT˙T=H^ϕϕ
<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><mi>&#x03D5;</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 stretchy="false">)</mo><mo>+</mo><mi>T</mi><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd><mtd><mi>i</mi><mi data-mjx-alternate="1">&#x210F;</mi><mi>&#x03D5;</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>T</mi><mo>˙</mo></mover></mrow></mrow><mo>=</mo><mi>T</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mi>&#x03D5;</mi></mtd></mtr><mtr><mtd></mtd><mtd><mi>i</mi><mi data-mjx-alternate="1">&#x210F;</mi><mi>&#x03D5;</mi><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>T</mi><mo>˙</mo></mover></mrow></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>T</mi></mrow></mfrac></mrow><mo>=</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>H</mi><mo>^</mo></mover></mrow></mrow><mi>&#x03D5;</mi></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>&#x03D5;</mi></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 Zeitunabhängige Schrödinger- Gleichung und stationäre Zustände page

Identifiers

  • Ψ
  • r¯
  • t
  • ϕ
  • r¯
  • T
  • t
  • i
  • ϕ
  • T˙
  • T
  • H^
  • ϕ
  • i
  • ϕ
  • T˙
  • T
  • H^
  • ϕ
  • ϕ

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