From 6e70f28ccbd5afc1506f71f013278a9d157ef03a Mon Sep 17 00:00:00 2001
From: Prefetch
Date: Thu, 27 Oct 2022 20:40:09 +0200
Subject: Optimize last images, add proof template, improve CSS

---
 source/know/concept/multi-photon-absorption/index.md | 13 ++++++-------
 1 file changed, 6 insertions(+), 7 deletions(-)

(limited to 'source/know/concept/multi-photon-absorption/index.md')

diff --git a/source/know/concept/multi-photon-absorption/index.md b/source/know/concept/multi-photon-absorption/index.md
index 5dd9887..80dbc9b 100644
--- a/source/know/concept/multi-photon-absorption/index.md
+++ b/source/know/concept/multi-photon-absorption/index.md
@@ -73,11 +73,8 @@ $$\begin{aligned}
     = 2 \pi \: \delta(x) \: t
 \end{aligned}$$
 
-<div class="accordion">
-<input type="checkbox" id="proof-sinc"/>
-<label for="proof-sinc">Proof</label>
-<div class="hidden" markdown="1">
-<label for="proof-sinc">Proof.</label>
+
+{% include proof/start.html id="proof-relation" -%}
 First, observe that we can rewrite the fraction using an integral:
 
 $$\begin{aligned}
@@ -119,9 +116,8 @@ $$\begin{aligned}
     = 4 \pi^2 \delta^2(x)
     = 2 \pi \: \delta(x) \: t
 \end{aligned}$$
+{% include proof/end.html id="proof-relation" %}
 
-</div>
-</div>
 
 
 ## One-photon absorption
@@ -187,6 +183,7 @@ Note that this transition is only possible when $$\matrixel{u}{\vu{p}}{0} \neq 0
 i.e. for any odd-numbered final state $$\Ket{u}$$.
 
 
+
 ## Two-photon absorption
 
 Next, we go to second-order perturbation theory.
@@ -255,6 +252,7 @@ Notice that the rate is proportional to $$|\vb{E}|^4$$,
 so this effect is only noticeable at high light intensities.
 
 
+
 ## Three-photon absorption
 
 For third-order perturbation theory,
@@ -327,6 +325,7 @@ The rate is proportional to $$|\vb{E}|^6$$,
 so this effect only appears at extremely high light intensities.
 
 
+
 ## N-photon absorption
 
 A pattern has appeared in these calculations:
-- 
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