diff options
Diffstat (limited to 'content/know/concept/dyson-equation/index.pdc')
| -rw-r--r-- | content/know/concept/dyson-equation/index.pdc | 5 |
1 files changed, 3 insertions, 2 deletions
diff --git a/content/know/concept/dyson-equation/index.pdc b/content/know/concept/dyson-equation/index.pdc index 7b94124..be93379 100644 --- a/content/know/concept/dyson-equation/index.pdc +++ b/content/know/concept/dyson-equation/index.pdc @@ -21,7 +21,8 @@ $$\begin{aligned} = \hat{H}_0(\vb{r}) \: \Psi_0(\vb{r}, t) \end{aligned}$$ -By definition, this equation's *fundamental solution* +By definition, this equation's +[fundamental solution](/know/concept/fundamental-solution/) $G_0(\vb{r}, t; \vb{r}', t')$ satisfies the following: $$\begin{aligned} @@ -142,7 +143,7 @@ and integrate over $G$'s second argument pair: $$\begin{aligned} \iint \big( \hat{G}{}_0^{-1} \!-\! \hat{H}_1 \big) G(\vb{r}', t') \: f(\vb{r}', t') \dd{\vb{r}'} \dd{t'} - = \iint^\infty \delta(\vb{r} \!-\! \vb{r}') \: \delta(t \!-\! t') \: f(\vb{r}, t) \dd{\vb{r}'} \dd{t'} + = \iint \delta(\vb{r} \!-\! \vb{r}') \: \delta(t \!-\! t') \: f(\vb{r}', t') \dd{\vb{r}'} \dd{t'} = f \end{aligned}$$ |