In the non-relativistic case in cgs units, this field is the integral over all space of the current density divided by the distance to the field point.
This entity is analogous to the 2-space potential flow stream function; in both cases, the associated fields are solenoidal. In cgs units, this quantity is given by the relativistic beta at the retarded time times its energy-like companion field, according to the LiÃ©nard-Wiechert potential equations. In the non-relativistic case in cgs units, this field is the integral over all space of the current density divided by the distance to the field point. The space-like part of the four-potential, this quantity is unique only up to the gradient of a gauge function. For 10 points, name this vector quantity symbolized A, the curl of which is the magnetic field.
This entity is analogous to the 2-space potential flow stream function; in both cases, the associated fields are solenoidal.
magnetic vector potential [or magnetic potential; prompt on A]