Improve knowledge baseHEADmaster

1 files changed, 7 insertions, 6 deletions

diff --git a/source/know/concept/einstein-coefficients/index.md b/source/know/concept/einstein-coefficients/index.md
index ad75ce5..2367abc 100644
--- a/source/know/concept/einstein-coefficients/index.md
+++ b/source/know/concept/einstein-coefficients/index.md
@@ -157,10 +157,10 @@ $$\begin{aligned}
     = - q E_0 z \cos(\omega t)
 \end{aligned}$$
 
-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 (to first order):
+From the derivation of
+[Fermi's golden rule](/know/concept/fermis-golden-rule/),
+we then know that the probability $$P_{ab}$$ of a transition
+from $$\ket{a}$$ to $$\ket{b}$$ is as follows (to first order):
 
 $$\begin{aligned}
     P_{ab}
@@ -210,6 +210,7 @@ However, the result would not be constant in time $$t$$,
 so is not really useful.
 
 
+
 ## Polarized light
 
 To solve this "problem", we generalize to (incoherent) polarized polychromatic light.
@@ -238,8 +239,7 @@ $$\begin{aligned}
     \int_0^\infty \frac{\sin^2\!\big( (\omega_0 - \omega) t / 2 \big)}{(\omega_0 - \omega)^2} u(\omega) \dd{\omega}
 \end{aligned}$$
 
-From here, the derivation is similar to that of
-[Fermi's golden rule](/know/concept/fermis-golden-rule/),
+From here, the derivation is similar to that of Fermi's golden rule,
 despite the distinction that we are integrating over frequencies rather than states.
 
 At sufficiently large $$t$$, the integrand is sharply peaked at $$\omega = \omega_0$$
@@ -276,6 +276,7 @@ $$\begin{aligned}
 \end{aligned}$$
 
 
+
 ## Unpolarized light
 
 We can generalize the above result even further to unpolarized light.