Retarded vector potential (source code)

= Retarded vector potential
{title2=$\mathbf A(\mathbf r,t)=\frac{\mu_0}{4\pi}\int\frac{\mathbf J(\mathbf r',t-|\mathbf r-\mathbf r'|/c)}{|\mathbf r-\mathbf r'|}\,d^3r'$}

The causal <magnetic vector potential> generated by a <current density> in the <Lorenz gauge>, with no additional incoming homogeneous field. Each source contribution is evaluated at its <retarded time>. The integral is a convolution with the retarded wave-equation <Green function>; its validity includes the stated boundary and source conditions.