  We propose to use the eigenfunctions of a one-electron model Hamiltonian to
perform electron-nucleus mean field configuration interaction (EN-MFCI)
calculations. The potential energy of our model Hamiltonian corresponds to the
Coulomb potential of an infinite wire with charge $Z$ distributed according to
a Gaussian function. The time independent \sch equation for this Hamiltonian is
solved perturbationally in the limit of small amplitude vibration (Gaussian
function width close to zero).
