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