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Display information for equation id:math.2718.19 on revision:2718

* Page found: Fermis Goldene Regel (eq math.2718.19)

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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}}

LaTeXML (experimentell; verwendet MathML) rendering

MathML (22.141 KB / 2.959 KB) :

P i → f ⁢ ( t ) := | ⟨ f | Ψ ⁢ ( t ) ⟩ | 2 = | e i ⁢ ( E f - E f ) ⁢ t | 2 ⏟ 1 ⁢ | ⟨ f | Ψ ⁢ ( t ) ⟩ I | 2 = | ∫ 0 t 𝑑 t ′ ⁢ ⟨ f | V I ⁢ ( t ′ ) | i ⟩ | 2 assign subscript 𝑃 → 𝑖 𝑓 𝑡 superscript inner-product 𝑓 Ψ 𝑡 2 subscript ⏟ superscript superscript 𝑒 i subscript 𝐸 𝑓 subscript 𝐸 𝑓 𝑡 2 1 superscript subscript inner-product 𝑓 Ψ 𝑡 𝐼 2 superscript superscript subscript 0 𝑡 differential-d superscript 𝑡 ′ quantum-operator-product 𝑓 subscript 𝑉 𝐼 superscript 𝑡 ′ 𝑖 2 {\displaystyle{\displaystyle{{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^{\prime}\,\left\langle f\right|{{V}_{I}}\left(t^{\prime}\right)\left|i% \right\rangle}\right|}^{2}}}}

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MathML (3.069 KB / 527 B) :

Pi→f(t):=|⟨f|Ψ(t)⟩|2=|ei(Ef−Ef)t|2⏟1|⟨f|Ψ(t)⟩I|2=|∫0tdt′⟨f|VI(t′)|i⟩|2

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Calculated based on the variables occurring on the entire Fermis Goldene Regel page

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  • Ψ
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  • e
  • Ef
  • Ef
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  • Ψ
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  • VI
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Abgerufen von „https://wiki.physikerwelt.de/wiki/Spezial:Formelinformation“