deletions | additions       diff --git a/oscillationTheory.tex b/oscillationTheory.tex  index b0e29bc..f6849a3 100644  --- a/oscillationTheory.tex  +++ b/oscillationTheory.tex 
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\mid \nu_i (x, t) \rangle &= e^{- i (E_i t - \vec{p_i} \cdot \vec{x})} \mid \nu_i (0) \rangle \\  &= e^{-i(p_{i} + \frac{m_{i}^2}{2 E})t} e^{- \vec{p_i} \cdot \vec{x}} \mid \nu_{i}(0) \rangle \\  &= e^{- i E_i t}e^{i (E_{i} - \frac{m_{i}^2}{2 E}) \cdot \vec{x})} \mid \nu_{i}(0) \rangle \\   &= e^{- i E_i t}e^{i (E_{i}}e^{ -i \frac{m_{i}^2}{2 E}) \cdot \vec{x})} \mid \nu_{i}(0) \rangle \\  \end{split}  \end{equation}