From aeacfca5aea5df7c107cf0c12e72ab5d496c96e1 Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Tue, 3 Jan 2023 19:48:17 +0100
Subject: More improvements to knowledge base

---
 source/know/concept/einstein-coefficients/index.md | 5 +++--
 1 file changed, 3 insertions(+), 2 deletions(-)

(limited to 'source/know/concept/einstein-coefficients')

diff --git a/source/know/concept/einstein-coefficients/index.md b/source/know/concept/einstein-coefficients/index.md
index 179d866..ad75ce5 100644
--- a/source/know/concept/einstein-coefficients/index.md
+++ b/source/know/concept/einstein-coefficients/index.md
@@ -159,7 +159,8 @@ $$\begin{aligned}
 
 This form of $$\hat{H}_1$$ is a well-known case for
 [time-dependent perturbation theory](/know/concept/time-dependent-perturbation-theory/),
-which tells us that the transition probability from $$\Ket{a}$$ to $$\Ket{b}$$ is:
+which tells us that the transition probability
+from $$\ket{a}$$ to $$\ket{b}$$ is (to first order):
 
 $$\begin{aligned}
     P_{ab}
@@ -167,7 +168,7 @@ $$\begin{aligned}
 \end{aligned}$$
 
 If the nucleus is at $$z = 0$$,
-then generally $$\Ket{1}$$ and $$\Ket{2}$$ will be even or odd functions of $$z$$,
+then generally $$\ket{1}$$ and $$\ket{2}$$ will be even or odd functions of $$z$$,
 meaning that $$\matrixel{1}{z}{1} = \matrixel{2}{z}{2} = 0$$
 (see also [Laporte's selection rule](/know/concept/selection-rules/)),
 leading to:
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