Alec Aivazis edited oscillation twoflavor1.tex  almost 10 years ago

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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