  The coincidence of quantum cosmology solutions generated by solving a
Euclidean version of the Hamilton-Jacobi equation for gravity and by using the
complex canonical transformation of the Ashtekar variables is discussed. An
examination of similar solutions for the free electromagnetic field shows that
this coincidence is an artifact of the homogeneity of the cosmological space.
(This paper will appear in a festchrift volume for Jerzy Plebanski)
