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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




© 1996-9 Eric W. Weisstein
1999-05-25