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Display information for equation id:math.2708.130 on revision:2708
* Page found: Formaler Aufbau der Quantenmechanik (eq math.2708.130)
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Hash: 0e30d35993f6cd61bf5b281538ec7c18
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\hat{A}=\hat{A}\left( t \right)\Rightarrow {{\left\langle {\hat{A}} \right\rangle }_{t}}=\left\langle \Psi \left( t \right)\,\underbrace{\left| \hat{A}\left( t \right)\, \right|}_{\text{Intrinsisch}}\,\Psi \left( t \right) \right\rangle =\left\langle \Psi \left( 0 \right)\,\underbrace{\left| {{e}^{\mathfrak{i} \hat{H}t}}\hat{A}{{e}^{-\mathfrak{i} \hat{H}t}} \right|}_{{{{\hat{A}}}_{H}}\left( t \right)}\,\Psi \left( 0 \right) \right\rangle
TeX (checked):
{\hat {A}}={\hat {A}}\left(t\right)\Rightarrow {{\left\langle {\hat {A}}\right\rangle }_{t}}=\left\langle \Psi \left(t\right)\,\underbrace {\left|{\hat {A}}\left(t\right)\,\right|} _{\text{Intrinsisch}}\,\Psi \left(t\right)\right\rangle =\left\langle \Psi \left(0\right)\,\underbrace {\left|{{e}^{{\mathfrak {i}}{\hat {H}}t}}{\hat {A}}{{e}^{-{\mathfrak {i}}{\hat {H}}t}}\right|} _{{{\hat {A}}_{H}}\left(t\right)}\,\Psi \left(0\right)\right\rangle
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<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"><mover><mi>A</mi><mo stretchy="false">̂</mo></mover><mo stretchy="false">=</mo><mover><mi>A</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo stretchy="false">⇒</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mover><mi>A</mi><mo stretchy="false">̂</mo></mover><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></msub><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>Ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="0.167em"></mspace><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mover><mi>A</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="0.167em"></mspace><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mtext>Intrinsisch</mtext></mrow></mrow></munder><mspace width="0.167em"></mspace><mi>Ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">⟩</mo></mrow><mo stretchy="false">=</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>Ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>0</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mspace width="0.167em"></mspace><munder><mrow data-mjx-texclass="OP"><munder><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>𝔦</mi></mrow><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mi>t</mi></mrow></mrow></msup><mover><mi>A</mi><mo stretchy="false">̂</mo></mover><msup><mi>e</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mo stretchy="false">−</mo><mrow data-mjx-texclass="ORD"><mi>𝔦</mi></mrow><mover><mi>H</mi><mo stretchy="false">̂</mo></mover><mi>t</mi></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">|</mo></mrow><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><msub><mover><mi>A</mi><mo stretchy="false">̂</mo></mover><mrow data-mjx-texclass="ORD"><mi>H</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow></mrow></mrow></munder><mspace width="0.167em"></mspace><mi>Ψ</mi><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mn>0</mn><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mstyle></mrow></math>
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