diff options
Diffstat (limited to 'content/know/concept/kubo-formula/index.pdc')
| -rw-r--r-- | content/know/concept/kubo-formula/index.pdc | 5 |
1 files changed, 1 insertions, 4 deletions
diff --git a/content/know/concept/kubo-formula/index.pdc b/content/know/concept/kubo-formula/index.pdc index f5430da..1df4780 100644 --- a/content/know/concept/kubo-formula/index.pdc +++ b/content/know/concept/kubo-formula/index.pdc @@ -5,6 +5,7 @@ publishDate: 2021-09-23 categories: - Physics - Quantum mechanics +- Perturbation date: 2021-09-23T16:21:51+02:00 draft: false @@ -54,9 +55,6 @@ $$\begin{aligned} &\approx \bigg( 1 + \frac{i}{\hbar} \int_{t_0}^t \hat{H}_{1,I}(t') \dd{t'} \bigg) \hat{A}_I(t) \bigg( 1 - \frac{i}{\hbar} \int_{t_0}^t \hat{H}_{1,I}(t') \dd{t'} \bigg) \\ - %&= \bigg( \hat{A}_I + \frac{i}{\hbar} \int_{t_0}^t \hat{H}_{1,I}(t') \hat{A}_I \dd{t'} \bigg) - %\bigg( 1 - \frac{i}{\hbar} \int_{t_0}^t \hat{H}_{1,I}(t') \dd{t'} \bigg) - %\\ &\approx \hat{A}_I(t) - \frac{i}{\hbar} \int_{t_0}^t \hat{A}_I(t) \hat{H}_{1,I}(t') \dd{t'} + \frac{i}{\hbar} \int_{t_0}^t \hat{H}_{1,I}(t') \hat{A}_I(t) \dd{t'} @@ -102,7 +100,6 @@ describing the response of $\expval*{\hat{A}}$ to first order in $\hat{H}_1$: $$\begin{aligned} \boxed{ \delta\expval*{\hat{A}}(t) - %= - \frac{i}{\hbar} \int_{t_0}^\infty \Theta(t \!-\! t') \expval{\comm{\hat{A}_I(t)}{\hat{H}_{1,I}(t')}}_0 \dd{t'} = \int_{t_0}^\infty C^R_{A H_1}(t, t') \dd{t'} } \end{aligned}$$ |