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Display information for equation id:math.1732.114 on revision:1732

* Page found: Zeitabhängige Störungsrechnung (eq math.1732.114)

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Hash: 822ecc17a72aa0370398c6d22023daef

TeX (original user input):

\begin{align}
& {{\left| \Psi  \right\rangle }_{W}}(t)={{\left| \Psi  \right\rangle }_{W}}(t=0)-\frac{i}{\hbar }\int_{0}^{t}{{}}d\tau \left( {{{\hat{H}}}_{W}}^{1}(\tau ){{\left| \Psi  \right\rangle }_{W}}(\tau ) \right) \\
& {{\left| \Psi  \right\rangle }_{W}}(t=0)=\left| {{n}_{0}} \right\rangle  \\
\end{align}

TeX (checked):

{\begin{aligned}&{{\left|\Psi \right\rangle }_{W}}(t)={{\left|\Psi \right\rangle }_{W}}(t=0)-{\frac {i}{\hbar }}\int _{0}^{t}{}d\tau \left({{\hat {H}}_{W}}^{1}(\tau ){{\left|\Psi \right\rangle }_{W}}(\tau )\right)\\&{{\left|\Psi \right\rangle }_{W}}(t=0)=\left|{{n}_{0}}\right\rangle \\\end{aligned}}

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MathML (experimental; no images) rendering

MathML (2.418 KB / 465 B) :

|ΨW(t)=|ΨW(t=0)i0tdτ(ĤW1(τ)|ΨW(τ))|ΨW(t=0)=|n0
<math xmlns="http://www.w3.org/1998/Math/MathML" class="mwe-math-element mwe-math-element-inline"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mtable displaystyle="true"><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="ORD"><mi>W</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo><mo stretchy="false">=</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="ORD"><mi>W</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi alternate="1"></mi></mrow></mfrac></mrow><msubsup><mo stretchy="false"></mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msubsup><mi>d</mi><mi>τ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><msub><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>W</mi></mrow></msub><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></msup><mo stretchy="false">(</mo><mi>τ</mi><mo stretchy="false">)</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="ORD"><mi>W</mi></mrow></msub><mo stretchy="false">(</mo><mi>τ</mi><mo stretchy="false">)</mo><mo data-mjx-texclass="CLOSE">)</mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd><mtd class="mwe-math-columnalign-l"><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>Ψ</mi><mo data-mjx-texclass="CLOSE"></mo></mrow><mrow data-mjx-texclass="ORD"><mi>W</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">=</mo><mn>0</mn><mo stretchy="false">)</mo><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mi>n</mi><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><mo data-mjx-texclass="CLOSE"></mo></mrow></mtd></mtr><mtr><mtd class="mwe-math-columnalign-r"></mtd></mtr></mtable></mstyle></mrow></math>

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Calculated based on the variables occurring on the entire Zeitabhängige Störungsrechnung page

Identifiers

  • ΨW
  • t
  • ΨW
  • t
  • i
  • t
  • τ
  • ĤW
  • τ
  • ΨW
  • τ
  • ΨW
  • t
  • n0

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