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Diffstat (limited to 'source/know/concept/multi-photon-absorption')
| -rw-r--r-- | source/know/concept/multi-photon-absorption/index.md | 13 |
1 files changed, 6 insertions, 7 deletions
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: |