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| author | John Wright <wright@chem.wisc.edu> | 2018-04-05 07:41:09 -0500 |
|---|---|---|
| committer | John Wright <wright@chem.wisc.edu> | 2018-04-05 07:41:09 -0500 |
| commit | ba8235a76c56f6fba6eb9919f3a64054f17fe79d (patch) | |
| tree | 088dc21e2600a0e9f6cc9f8e4eee8015e224f12b /spectroscopy/chapter.tex | |
| parent | a556dba6d7b956ab6469916d886dfeea8dcc2932 (diff) | |
JCW Summary of Changes
Diffstat (limited to 'spectroscopy/chapter.tex')
| -rw-r--r-- | spectroscopy/chapter.tex | 3 |
1 files changed, 2 insertions, 1 deletions
diff --git a/spectroscopy/chapter.tex b/spectroscopy/chapter.tex index 3bde7b4..030edd5 100644 --- a/spectroscopy/chapter.tex +++ b/spectroscopy/chapter.tex @@ -67,6 +67,7 @@ For simplicity, we consider a single transition dipole, $\mu$. % The Hamiltonian which controls the coupling of or simple system to the electric field described in
...:
+% jcw- ISN'T IT JUST MU DOT E WHERE E IS A VECTOR THAT IS TIME DEPENDENT, NOT A TIME DERIVATIVE
\begin{equation}
H = H_{\circ} - \mu \dot E
\end{equation}
@@ -90,7 +91,7 @@ In Dirac notation \cite{DiracPaulAdrienMaurice1939a}., an observable (such as $\ \end{equation}
The complex wavefunction is called a \emph{ket}, represented $|b>$. %
The complex conjugate is called a \emph{bra}, represented $<a|$. %
-When expanded,
+When expanded, % JCW- MU IS NOT THE OPERATOR. THE OPERATOR IS THE TIME DEPENDENT HAMILTONIAN. MU MULIPLIES ca and cb
\begin{equation}
\mu(t) = c_a^2\mu_a + c_b^2\mu_b + \left< c_aa \left| \hat{mu} \right| c_bb \right> +
\left<c_bb \left| \hat{mu} \right| c_aa \right>
|