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authorPrefetch2021-10-05 19:31:12 +0200
committerPrefetch2021-10-05 19:31:12 +0200
commite28d2a982d0c65fcad9a2d2a4c20d06a9848fa8f (patch)
treec576158c66a6d568b04b4a70bb4631fda3b4b7de /content/know/concept/maxwell-bloch-equations/index.pdc
parentbd5796ceb2da03291124ab8ff66769ac67a585c9 (diff)
Expand knowledge base
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diff --git a/content/know/concept/maxwell-bloch-equations/index.pdc b/content/know/concept/maxwell-bloch-equations/index.pdc
index 3a0df1b..ae7d119 100644
--- a/content/know/concept/maxwell-bloch-equations/index.pdc
+++ b/content/know/concept/maxwell-bloch-equations/index.pdc
@@ -14,7 +14,7 @@ markup: pandoc
# Maxwell-Bloch equations
-For an electron in a two level system with time-independent states
+For an electron in a two-level system with time-independent states
$\ket{g}$ (ground) and $\ket{e}$ (excited),
consider the following general solution
to the full Schrödinger equation:
@@ -391,10 +391,10 @@ $$\begin{aligned}
It is trivial to show that $\vb{E}$ and $\vb{P}$
can be replaced by $\vb{E}^{+}$ and $\vb{P}^{+}$.
-It is equally trivial to convert
+It is also simple to convert
the dipole $\vb{p}^{+}$ and inversion $d$
into their macroscopic versions $\vb{P}^{+}$ and $D$,
-simply by summing over all atoms in the medium.
+simply by averaging over the atoms per unit of volume.
We thus arrive at the **Maxwell-Bloch equations**:
$$\begin{aligned}