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Alec Aivazis edited oscillationTheory.tex
almost 10 years ago
Commit id: 01ae01605d7b23450ae92986b5a55194bc495906
deletions | additions
diff --git a/oscillationTheory.tex b/oscillationTheory.tex
index cc5a579..859d909 100644
--- a/oscillationTheory.tex
+++ b/oscillationTheory.tex
...
\begin{split}
E_{i}^2 &= p_{i}^2 + m_{i}^2 \\
&= p_{i}^2 (1 + \frac{m_{i}^2}{p_{i}^2}) \\
E_{i} &\approx p_{i}
\sqrt{(1 + \frac{m_{i}^2}{p_{i}^2})} \\
&\approx p_{i} (1 + \frac{m_{i}^2}{2 p_{i}^2}) \\
&\approx p_{i} + \frac{m_{i}^2}{2 p_{i}}
\end{split}
\end{equation}