Lorentz Tensor

The Tensor in the Lorentz Transformation given by

$\begin{displaymath} {\hbox{\sf L}} \equiv\left[{\matrix{ \gamma & -\gamma\beta &... ... \gamma & 0 & 0\cr 0 & 0 & 1 & 0\cr 0 & 0 & 0 & 1\cr}}\right], \end{displaymath}$

(1)

where beta

and gamma

are defined by

$\displaystyle \beta$	$\textstyle \equiv$	$\displaystyle {v\over c}$	(2)
$\displaystyle \gamma$	$\textstyle \equiv$	$\displaystyle {1\over\sqrt{1-\beta^2}}.$	(3)

See also Lorentz Group, Lorentz Transformation