diff options
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} |