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authorPrefetch2021-11-03 20:24:41 +0100
committerPrefetch2021-11-03 20:24:41 +0100
commita17363fa734518ada98fc3e79c9fd20f70e42f1b (patch)
tree402cb2b750d54045a4f8ca9c8d664e41075ac9b1 /content/know/concept/dyson-equation
parentb090363af28c577bbf9da60d03c82056036588aa (diff)
Expand knowledge base
Diffstat (limited to 'content/know/concept/dyson-equation')
-rw-r--r--content/know/concept/dyson-equation/index.pdc5
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}$$