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author | Prefetch | 2021-10-05 19:31:12 +0200 |
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committer | Prefetch | 2021-10-05 19:31:12 +0200 |
commit | e28d2a982d0c65fcad9a2d2a4c20d06a9848fa8f (patch) | |
tree | c576158c66a6d568b04b4a70bb4631fda3b4b7de /content/know/concept/maxwell-bloch-equations | |
parent | bd5796ceb2da03291124ab8ff66769ac67a585c9 (diff) |
Expand knowledge base
Diffstat (limited to 'content/know/concept/maxwell-bloch-equations')
-rw-r--r-- | content/know/concept/maxwell-bloch-equations/index.pdc | 6 |
1 files changed, 3 insertions, 3 deletions
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} |