this is for holding javascript data
Alec Aivazis edited oscillation twoflavor1.tex
almost 10 years ago
Commit id: ee0afb5331bd5ab4ba8b2564049dc8c9162b8911
deletions | additions
diff --git a/oscillation twoflavor1.tex b/oscillation twoflavor1.tex
index b38c410..5c6a8fd 100644
--- a/oscillation twoflavor1.tex
+++ b/oscillation twoflavor1.tex
...
and equation \ref{eq:prob-transition} turns into:
\begin{equation}
\label{eq:twoflavor-result}
\begin{split}
P(\nu_{\mu} \rightarrow \nu_{e}) &= \mid -\sin \theta \cos \theta e^{- im_{i}^2L/2E} + \cos \theta \sin \theta e^{- i m_{i}^2 L / 2 E} \mid ^2 \\
&= \sin^2 \theta \cos^2 \theta \left[ 2 - \cos \frac{(m_{2}^2 - m_{1}^2)L}{2E}\right] \\
&= \sin^2 2\theta \sin^2
\frac{\Delta m^2 L}{4 \frac{L(m_{1}^2 - m_{2}^2)}{4 E}
\end{split}
\end{equation}
Equation \ref{eq:twoflavor-result} shows that there is a maximum probability for the neutrino to oscillate when it has travelled a