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Display information for equation id:math.2719.19 on revision:2719
* Page found: Fermis Goldene Regel (eq math.2719.19)
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Hash: 60632e959aca8a61dc0d149b8ceb2725
TeX (original user input):
{{P}_{i\to f}}\left( t \right):={{\left| \left\langle f | \Psi \left( t \right) \right\rangle \right|}^{2}}=\underbrace{{{\left| {{e}^{\text{i}\left( {{E }_{f}}-{{E }_{f}} \right)t}} \right|}^{2}}}_{1}{{\left| {{\left\langle f | \Psi \left( t \right) \right\rangle }_{I}} \right|}^{2}}={{\left| \int\limits_{0}^{t}{dt'\,\left\langle f \right|{{V}_{I}}\left( t' \right)\left| i \right\rangle } \right|}^{2}}
TeX (checked):
{{P}_{i\to f}}\left(t\right):={{\left|\left\langle f|\Psi \left(t\right)\right\rangle \right|}^{2}}=\underbrace {{\left|{{e}^{{\text{i}}\left({{E}_{f}}-{{E}_{f}}\right)t}}\right|}^{2}} _{1}{{\left|{{\left\langle f|\Psi \left(t\right)\right\rangle }_{I}}\right|}^{2}}={{\left|\int \limits _{0}^{t}{dt'\,\left\langle f\right|{{V}_{I}}\left(t'\right)\left|i\right\rangle }\right|}^{2}}
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MathML (3.069 KB / 527 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>P</mi><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="ORD"><mi>i</mi><mo accent="false">→</mo><mi>f</mi></mrow></mrow></msub></mstyle><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mi>t</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>:</mi><mo>=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>f</mi><mo>|</mo><mi mathvariant="normal">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 data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>=</mo><munder><mrow data-mjx-texclass="OP"><munder><msup><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"><mtext>i</mtext></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>f</mi></mrow></msub><mo>−</mo><msub><mi>E</mi><mrow data-mjx-texclass="ORD"><mi>f</mi></mrow></msub><mo data-mjx-texclass="CLOSE">)</mo></mrow><mi>t</mi></mrow></mrow></msup><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>⏟</mo></munder></mrow><mrow data-mjx-texclass="ORD"><mn>1</mn></mrow></munder><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>f</mi><mo>|</mo><mi mathvariant="normal">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><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup><mo>=</mo><msup><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><munderover><mo form="prefix" texclass="OP">∫</mo><mrow data-mjx-texclass="ORD"><mn>0</mn></mrow><mrow data-mjx-texclass="ORD"><mi>t</mi></mrow></munderover><mrow data-mjx-texclass="ORD"><mi>d</mi><msup><mi>t</mi><mo>′</mo></msup><mspace width="0.167em"></mspace><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">⟨</mo><mi>f</mi><mo data-mjx-texclass="CLOSE">|</mo></mrow><msub><mi>V</mi><mrow data-mjx-texclass="ORD"><mi>I</mi></mrow></msub><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><msup><mi>t</mi><mo>′</mo></msup><mo data-mjx-texclass="CLOSE">)</mo></mrow><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">|</mo><mi>i</mi><mo data-mjx-texclass="CLOSE">⟩</mo></mrow></mrow><mo data-mjx-texclass="CLOSE">|</mo></mrow><mrow data-mjx-texclass="ORD"><mn>2</mn></mrow></msup></mrow></math>
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