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Display information for equation id:math.2720.16 on revision:2720

* Page found: Fermis Goldene Regel (eq math.2720.16)

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TeX (original user input): 

\begin{align}
  & {{\left| \Psi \left( t \right) \right\rangle }_{I}}=\left| i \right\rangle -\text{i}\int\limits_{0}^{t}{dt'\,{{V}_{I}}\left( t' \right)}\left| i \right\rangle +O{{\left( {{V}_{I}} \right)}^{2}} \\ 
 & {{\left\langle  f | \Psi \left( t \right) \right\rangle }_{I}}={{\delta }_{i,f}}-\text{i}\int\limits_{0}^{t}{dt'\,\left\langle  f \right|{{V}_{I}}\left( t' \right)}\left| i \right\rangle +O{{\left( {{V}_{I}} \right)}^{2}}  
\end{align}

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MathML (31.059 KB / 3.413 KB) :

| Ψ ⁢ ( t ) ⟩ I = | i ⟩ - i ⁢ ∫ 0 t 𝑑 t ′ ⁢ V I ⁢ ( t ′ ) ⁢ | i ⟩ + O ⁢ ( V I ) 2 ⟨ f | Ψ ⁢ ( t ) ⟩ I = δ i , f - i ⁢ ∫ 0 t 𝑑 t ′ ⁢ ⟨ f | V I ⁢ ( t ′ ) | i ⟩ + O ⁢ ( V I ) 2 missing-subexpression subscript ket Ψ 𝑡 𝐼 ket 𝑖 i superscript subscript 0 𝑡 differential-d superscript 𝑡 ′ subscript 𝑉 𝐼 superscript 𝑡 ′ ket 𝑖 𝑂 superscript subscript 𝑉 𝐼 2 missing-subexpression subscript inner-product 𝑓 Ψ 𝑡 𝐼 subscript 𝛿 𝑖 𝑓 i superscript subscript 0 𝑡 differential-d superscript 𝑡 ′ quantum-operator-product 𝑓 subscript 𝑉 𝐼 superscript 𝑡 ′ 𝑖 𝑂 superscript subscript 𝑉 𝐼 2 {\displaystyle{\displaystyle\begin{aligned} &\displaystyle{{\left|\Psi\left(t% \right)\right\rangle}_{I}}=\left|i\right\rangle-\text{i}\int\limits_{0}^{t}{dt% ^{\prime}\,{{V}_{I}}\left(t^{\prime}\right)}\left|i\right\rangle+O{{\left({{V}% _{I}}\right)}^{2}}\\ &\displaystyle{{\left\langle f|\Psi\left(t\right)\right\rangle}_{I}}={{\delta}% _{i,f}}-\text{i}\int\limits_{0}^{t}{dt^{\prime}\,\left\langle f\right|{{V}_{I}% }\left(t^{\prime}\right)}\left|i\right\rangle+O{{\left({{V}_{I}}\right)}^{2}}% \end{aligned}}}

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|Ψ(t)⟩I=|i⟩−i∫0tdt′VI(t′)|i⟩+O(VI)2⟨f|Ψ(t)⟩I=δi,f−i∫0tdt′⟨f|VI(t′)|i⟩+O(VI)2

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