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Display information for equation id:math.1732.87 on revision:1732

* Page found: Zeitabhängige Störungsrechnung (eq math.1732.87)

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Zeitabhängige Störungsrechnung Eq: math.1732.87

Hash: e1bdc273a1353debeb2f09ce9e99deef

TeX (original user input):

A{{e}^{-i\gamma }}\left\{ \frac{\left( {{e}^{\left( -i{{\Omega }^{-}}t \right)}}-1 \right)\left( {{e}^{\left( i{{\Omega }^{+}}t \right)}}-1 \right)}{{{\hbar }^{2}}{{\Omega }^{+}}{{\Omega }^{-}}} \right\}+A{{e}^{i\gamma }}\left\{ \frac{\left( {{e}^{\left( -i{{\Omega }^{+}}t \right)}}-1 \right)\left( {{e}^{\left( i{{\Omega }^{-}}t \right)}}-1 \right)}{{{\hbar }^{2}}{{\Omega }^{+}}{{\Omega }^{-}}} \right\}=\frac{4A}{{{\hbar }^{2}}{{\Omega }^{+}}{{\Omega }^{-}}}\cos \left( \omega t-\gamma  \right)\left[ \cos \left( \omega t \right)-\cos \left( \Omega t \right) \right]

TeX (checked):

A{{e}^{-i\gamma }}\left\{{\frac {\left({{e}^{\left(-i{{\Omega }^{-}}t\right)}}-1\right)\left({{e}^{\left(i{{\Omega }^{+}}t\right)}}-1\right)}{{{\hbar }^{2}}{{\Omega }^{+}}{{\Omega }^{-}}}}\right\}+A{{e}^{i\gamma }}\left\{{\frac {\left({{e}^{\left(-i{{\Omega }^{+}}t\right)}}-1\right)\left({{e}^{\left(i{{\Omega }^{-}}t\right)}}-1\right)}{{{\hbar }^{2}}{{\Omega }^{+}}{{\Omega }^{-}}}}\right\}={\frac {4A}{{{\hbar }^{2}}{{\Omega }^{+}}{{\Omega }^{-}}}}\cos \left(\omega t-\gamma \right)\left[\cos \left(\omega t\right)-\cos \left(\Omega t\right)\right]

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A e^{- i γ} {\frac{(e^{(- i Ω^{-} t)} - 1) (e^{(i Ω^{+} t)} - 1)}{ℏ^{2} Ω^{+} Ω^{-}}} + A e^{i γ} {\frac{(e^{(- i Ω^{+} t)} - 1) (e^{(i Ω^{-} t)} - 1)}{ℏ^{2} Ω^{+} Ω^{-}}} = \frac{4 A}{ℏ^{2} Ω^{+} Ω^{-}} \cos (ω t - γ) [\cos (ω t) - \cos (Ω t)]

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Identifiers

$A$

$e$

$i$

$γ$

$e$

$i$

$Ω$

$t$

$e$

$i$

$Ω$

$t$

$Ω$

$Ω$

$A$

$e$

$i$

$γ$

$e$

$i$

$Ω$

$t$

$e$

$i$

$Ω$

$t$

$Ω$

$Ω$

$A$

$Ω$

$Ω$

$ω$

$t$

$γ$

$ω$

$t$

$Ω$

$t$

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