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In Lorenz's paper [1] he begins with scaler and vector potentials (in retarded from) and derives Maxwell's equations from these equations. Typically, texts start with Maxwell's equations and develop the Lorenz Gauge [2,3] which has the benefit of seeming less ad hoc. Here we present a graphical representation
of the development.
We begin with the Maxwell equations in general form,
We note that

(1.1) 
Finally we note that
Since
we have

(1.2) 
Figure 1.1:
Maxwell's Equations
Potential Equations

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Timothy Jones
20060530