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* Page found: Dynamik im Schrödinger- Heisenberg- und Wechselwirkungsbild (eq math.1645.5)

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\begin{align}

& {{H}^{+}}=H \\

& \Rightarrow {{U}^{+}}=\sum\limits_{n=0}^{\infty }{{}}\frac{1}{n!}{{\left( \frac{i}{\hbar }t \right)}^{n}}{{{\hat{H}}}^{n}}\Rightarrow {{U}^{+}}U=1 \\

\end{align}

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H+=HU+=n=01n!(it)nH^nU+U=1
<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><msup><mi>H</mi><mrow data-mjx-texclass="ORD"><mo>+</mo></mrow></msup><mo>=</mo><mi>H</mi></mtd></mtr><mtr><mtd></mtd><mtd><mo>&#x21D2;</mo><msup><mi>U</mi><mrow data-mjx-texclass="ORD"><mo>+</mo></mrow></msup><mo>=</mo><munderover><mo form="prefix" texclass="OP">&#x2211;</mo><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mo>=</mo><mn>0</mn></mrow></mrow><mrow data-mjx-texclass="ORD"><mi mathvariant="normal">&#x221E;</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>n</mi><mi>!</mi></mrow></mrow></mfrac></mrow><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mfrac><mrow data-mjx-texclass="ORD"><mi>i</mi></mrow><mrow data-mjx-texclass="ORD"><mi data-mjx-alternate="1">&#x210F;</mi></mrow></mfrac></mrow><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="ORD"><mi>n</mi></mrow></msup><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"><mi>n</mi></mrow></msup><mo>&#x21D2;</mo><msup><mi>U</mi><mrow data-mjx-texclass="ORD"><mo>+</mo></mrow></msup><mi>U</mi><mo>=</mo><mn>1</mn></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>

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