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Alec Aivazis edited kinematics more.tex
almost 10 years ago
Commit id: 214397b0afb62bc47115614983ce72b7586bb6e4
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To understand what happens during the decay in the frame of reference of the lab, we need to boost in the beam direction, taken to be in the z-direction. The Lorentz Boost in the z-direction is given by:
\begin{equation}\label{mat:lorenz}
\begin{bmatrix}
ct' \\
x' \\
y' \\
z' \\
\end{bmatrix} = \begin{bmatrix}
\gamma & 0 & 0 & - \beta \gamma \\
0 & 1 & 0 & 0 \\
0 & 0 & 1 & 0 \\