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Display information for equation id:math.1645.42 on revision:1645
* Page found: Dynamik im Schrödinger- Heisenberg- und Wechselwirkungsbild (eq math.1645.42)
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\begin{align}
& \left\langle {{{\hat{F}}}_{S}} \right\rangle ={{\left\langle \Psi \right|}_{t}}{{{\hat{F}}}_{S}}{{\left| \Psi \right\rangle }_{t}}={{\left\langle \Psi \right|}_{0}}{{U}^{+}}(t,0){{{\hat{F}}}_{S}}U(t,0){{\left| \Psi \right\rangle }_{0}} \\
& {{U}^{+}}(t,0){{{\hat{F}}}_{S}}U(t,0)={{{\hat{F}}}_{H}}(t) \\
\end{align}
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<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="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo>=</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo>=</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub><msup><mi>U</mi><mrow data-mjx-texclass="ORD"><mo>+</mo></mrow></msup><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mi>U</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi mathvariant="normal">Ψ</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow></msub></mtd></mtr><mtr><mtd></mtd><mtd><msup><mi>U</mi><mrow data-mjx-texclass="ORD"><mo>+</mo></mrow></msup><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>S</mi></mrow></msub><mi>U</mi><mo stretchy="false">(</mo><mi>t</mi><mo>,</mo><mn>0</mn><mo stretchy="false">)</mo><mo>=</mo><msub><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mover><mi>F</mi><mo>^</mo></mover></mrow></mrow><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub><mo stretchy="false">(</mo><mi>t</mi><mo stretchy="false">)</mo></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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