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Alec Aivazis edited oscillationTheory.tex
almost 10 years ago
Commit id: ec3c1166fd32b3d318b2774a834ff2fa95a75564
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The motivation for neutrino oscillation was discused in section REFERENCE. To see how a neutrino acutally "oscillates," lets assume, that we have a neutrino that intially has definite flavor. That is
\begin{equation}
\mid \nu_{\alpha} \rangle =
\sum\limits_{\alpha} U_{i \alpha} U_{\alpha i} \mid \nu_{\alpha}
\end{equation}
Where $\alpha$ ranges over (e, $\mu$, and $\tau$) and stand for the respective flavor state.
And $U_{ij}$ is the corresponding element in the PMNS matrix \footnote{For more information see ***}.
Since $\mid \nu_{\alpha} \rangle$ are eigenstates (OF WHAT?), $\mid \nu(t) \rangle$ is given in natural units by