Benedict Irwin edited 4-Dimensions.tex  over 9 years ago

Commit id: 3a3930b89c92e5c26f121bf91a1cbdac97be0884

deletions | additions      

       

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 $F_{\mu\nu}$