The total cross sections for the elastic electroproduction of rho and
J/psi mesons for Q(2) > 8 GeV2 and [W] similar or equal to 90 GeV/c(2)
are measured at HERA with the H1 detector. The measurements are for a
n integrated electron-proton luminosity of similar or equal to 3 pb(-1
). The dependences of the total virtual photon-proton (gammap) cross
sections on Q(2), W and the momentum transfer squared to the proton (t
), and, for the rho, the dependence on the polar decay angle (cos thet
a), are presented. The J/psi:rho cross section ratio is determined. T
he results are discussed in the light of theoretical models and of the
interplay of hard and soft physics processes.