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Diffstat (limited to 'content/know/concept/time-dependent-perturbation-theory/index.pdc')
| -rw-r--r-- | content/know/concept/time-dependent-perturbation-theory/index.pdc | 2 |
1 files changed, 1 insertions, 1 deletions
diff --git a/content/know/concept/time-dependent-perturbation-theory/index.pdc b/content/know/concept/time-dependent-perturbation-theory/index.pdc index 76ab684..8f626c2 100644 --- a/content/know/concept/time-dependent-perturbation-theory/index.pdc +++ b/content/know/concept/time-dependent-perturbation-theory/index.pdc @@ -136,7 +136,7 @@ and take the first-order correction formula: $$\begin{aligned} c_m^{(1)}(t) &= - \frac{1}{2 \hbar} \sum_{n} V_{mn} c_n^{(0)} - \int_0^t \exp\!\big(i \tau (\omega_{mn} \!+\! \omega)\big) - \exp\big(i \tau (\omega_{mn} \!-\! \omega)\big) \dd{\tau} + \int_0^t \exp\!\big(i \tau (\omega_{mn} \!+\! \omega)\big) - \exp\!\big(i \tau (\omega_{mn} \!-\! \omega)\big) \dd{\tau} \\ &= \frac{i}{2 \hbar} \sum_{n} V_{mn} c_n^{(0)} \bigg( \frac{\exp\!\big(i t (\omega_{mn} \!+\! \omega) \big) - 1}{\omega_{mn} + \omega} |