Pure Lorentz Boosts

Definitions and and conventions for a pure boost classes match those described in equation (). Here we will write out the matrix in detail, for a boost specified by $\vec{b}$, a Hep3Vector with magnitude $0 < \beta < 1$ (here we write $\vec{b} = \beta \hat{u}$ and $\gamma \equiv \frac{1}{\sqrt{1-\beta^2}}$):

$$\mbox{LorentzBoost}(\beta \hat{u}) = \left( \begin{array}{cccc} (... ...ta \gamma u_x & \beta \gamma u_y & \beta \gamma u_z & \gamma \end{array}\right)$$ (169)