I have a 電場:\left(E_x,E_y,E_z\right)
I have a 磁場:\left(B_x,B_y,B_z\right)
呃——
電磁場:\left(E_x,E_y,E_z\right) ,\left(B_x,B_y,B_z\right)
I have a 轉動:\Omega
I have a boost:b
呃——
勞侖茲群:\Lambda=\begin{pmatrix} *&*&*&*\\ *&*&*&*\\ *&*&*&*\\ *&*&*&*\\ \end{pmatrix}
電磁場~
勞侖茲群~
呃——
勞侖茲協變的電磁場張量:
\begin{pmatrix} 0&E'_x&E'_y&E'_z\\ -E'_x&0&B'_z&-B'_y\\ -E'_y&-B'_z&0&B'_x\\ -E'_z&B'_y&-B'_x&0\\ \end{pmatrix} = \Lambda^{T} \begin{pmatrix} 0&E_x&E_y&E_z\\ -E_x&0&B_z&-B_y\\ -E_y&-B_z&0&B_x\\ -E_z&B_y&-B_x&0\\ \end{pmatrix} \Lambda