The vector magnetic potential A and scalar electric potential V defined in Section 7- 4 are not unique in that it is possible to add to A the gradient of a scalar ψ, ▿ψ, with no change in B from Eq. (7- 55).
A' =A +▿ψ
In order not to change E in using Eq. (7-57), V must be modified to V'.
a) Find the relation between V' and V.
b) Discuss the condition that ψmust satisfy so that the new potentials A' and V' remain governed by the uncoupled wave equations (7 - 63) and (7- 65).
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