What Functions Transform Potentials Between Coulomb and Lorentz Gauges?

[kineshma]

Suppose A1 and V1 satisfy the coulomb gauge and A2 and V2 satisfy the lorentz gauge. what function S will transform A1 and V1 to A2 and V2?
What function W will transform A2 and V2 to A1 and V1?l

 

[Physics Monkey]

Hi kineshima,

Welcome to Physics Forums. I won't just give away the answer, but I will suggest a place to start. You might start by trying to write down the relationship between potentials in two different gauges. Using the properties of each gauge, what sort of conditions must your gauge function satisfy?