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Physical System

The 3D scalar wave equation with a source term $\rho(t,x,y,z)$ is written

\begin{displaymath} \nabla \phi = 4 \pi \rho \end{displaymath}

Each scalar source with charge $Q$ and radius $R$ contributes

\begin{displaymath} \rho = \frac{3Q}{4\pi R^3} \end{displaymath}