Benedict Irwin edited Electromagnetism.tex  about 10 years ago

Commit id: bb9c1caac71ae81e73fff261a38538d88dbd8f42

deletions | additions      

       

\end{equation}  But %But  with the hypercomplex components it is clear that $H_{\mu \nu} = F_{\mu \nu} +I_{\mu \nu}i + J_{\mu \nu}j + K_{\mu \nu}k where \begin{equation} F_{\mu %F_{\mu  \nu}+Re[H_{\mu \nu}]=\partial_\mu A_\nu - \partial_\nu A_\mu \\ I_{\mu %I_{\mu  \nu}+Im_i[H_{\mu \nu}]=\partial_\mu B_\nu - \partial_\nu B_\mu \\ J_{\mu %J_{\mu  \nu}+Im_j[H_{\mu \nu}]=\partial_\mu \Gamma_\nu - \partial_\nu \Gamma_\mu \\ K_{\mu %K_{\mu  \nu}+Im_k[H_{\mu \nu}]=\partial_\mu \Delta_\nu - \partial_\nu \Delta_\mu \end{equation}