We show that the Duru-Kleinert fixed energy amplitude leads to the pat
h integral for the propagation amplitude in the closed FRW quantum cos
mology with scale factor as one degree of freedom. Then, using the Dur
u-Kleinert equivalence of corresponding actions, we calculate the tunn
eling rate, with exact prefactor, through the dilute-instanton approxi
mation to the first order in h. (C) 1998 Elsevier Science B.V.