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Benedict Irwin edited Electromagnetism.tex
about 10 years ago
Commit id: f5be340a7dbd0f87a180d3cf03b913205ab5ae4f
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diff --git a/Electromagnetism.tex b/Electromagnetism.tex
index fa541bb..3c72514 100644
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\end{equation}
%But But with the hypercomplex components it is clear that $H_{\mu \nu} = F_{\mu \nu} +I_{\mu \nu}i + J_{\mu \nu}j + K_{\mu
\nu}k \nu}k$ where
\begin{equation}
F_{\mu
\nu}+Re[H_{\mu \nu}=Re[H_{\mu \nu}]=\partial_\mu A_\nu - \partial_\nu A_\mu \\
I_{\mu
\nu}+Im_i[H_{\mu \nu}=Im_i[H_{\mu \nu}]=\partial_\mu B_\nu - \partial_\nu B_\mu \\
J_{\mu
\nu}+Im_j[H_{\mu \nu}=Im_j[H_{\mu \nu}]=\partial_\mu \Gamma_\nu - \partial_\nu \Gamma_\mu \\
K_{\mu
\nu}+Im_k[H_{\mu \nu}=Im_k[H_{\mu \nu}]=\partial_\mu \Delta_\nu - \partial_\nu \Delta_\mu
\end{equation}