this is for holding javascript data
Benedict Irwin edited 4-Dimensions.tex
over 9 years ago
Commit id: 3a3930b89c92e5c26f121bf91a1cbdac97be0884
deletions | additions
diff --git a/4-Dimensions.tex b/4-Dimensions.tex
index c09bc6c..0725ecc 100644
--- a/4-Dimensions.tex
+++ b/4-Dimensions.tex
...
x_1z_2-z_1x_2 & z_1t_2-t_1z_2 & 0 & t_1x_2-x_1t_2 \\
y_1x_2-x_1y_2 & t_1y_2-y_1t_2 & x_1t_2-t_1x_2 & 0
\end{bmatrix}
\end{equation}
If one then defines \begin{equation}
y_1z_2-z_1y_2=E_x/c \\
z_1x_2-x_1z_2=E_y/c \\
x_1y_2-y_1x_2=E_z/c \\
\\
t_1x_2-x_1t_2=B_x \\
t_1y_2-y_1t_2=B_y \\
t_1z_2-z_1t_2=B_z \\
\end{equation}
This matrix will become the covarient form of the electromagnetic tensor $F_{\mu\nu}$