From 5cacf4ffaf3a9621ab536195f6469f98a420f054 Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Sat, 5 Sep 2026 21:55:33 +0200
Subject: Improve knowledge base

---
 source/know/concept/equation-of-motion-theory/index.md | 7 ++++---
 1 file changed, 4 insertions(+), 3 deletions(-)

(limited to 'source/know/concept/equation-of-motion-theory')

diff --git a/source/know/concept/equation-of-motion-theory/index.md b/source/know/concept/equation-of-motion-theory/index.md
index c1ed8da..76cee81 100644
--- a/source/know/concept/equation-of-motion-theory/index.md
+++ b/source/know/concept/equation-of-motion-theory/index.md
@@ -100,7 +100,8 @@ $$\begin{aligned}
     \\
     &= \sum_{\nu' \nu''} u_{\nu' \nu''} \Big( \delta_{\nu \nu'} \hat{f}_{\!\nu''}
     - 2 \acomm{\hat{f}_{\!\nu'}^\dagger}{\hat{f}_{\!\nu}} \hat{f}_{\!\nu''} \Big)
-    = - \sum_{\nu''} u_{\nu \nu''} \hat{f}_{\!\nu''}
+    \\
+    &= - \sum_{\nu''} u_{\nu \nu''} \hat{f}_{\!\nu''}
 \end{aligned}$$
 {% include proof/end.html id="proof-commutator" %}
 
@@ -160,7 +161,7 @@ $$\begin{aligned}
 \end{aligned}$$
 
 We take the [Fourier transform](/know/concept/fourier-transform/)
-$$(t \!-\! t') \to (\omega + i \eta)$$, where $$\eta \to 0^+$$ ensures convergence:
+$$(t - t') \to (\omega + i \eta)$$, where $$\eta \to 0^+$$ ensures convergence:
 
 $$\begin{aligned}
         \sum_{\nu''} \Big( \hbar \delta_{\nu \nu''} (\omega + i \eta) - u_{\nu \nu''} \Big) G^R_{\nu'' \nu'}(\omega)
@@ -178,7 +179,7 @@ $$\begin{aligned}
 \end{aligned}$$
 
 For a non-interacting, time-independent Hamiltonian,
-we therefore arrive at:
+we thus arrive at the famous result:
 
 $$\begin{aligned}
     \boxed{
-- 
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