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For a dimer with a non-degenerate orbital built from atomic wave functions ofGaussian shape we evaluate all the electron-phonon couplings derived from theone-body and two-body electronic interactions, considering both the adiabaticand extreme non-adiabatic limit. Not only the values of the coupling parametersin the two limits, but also the expressions of the corresponding terms in theHamiltonian differ.  Depending on the distance between the dimer ions, some of the two-bodycouplings are comparable, or even larger than the one-body ones.Comment: 8 pages, 3 figures, to be published in Int. Journal of Modern Physics

DISTANCE-DEPENDING ELECTRON-PHONON INTERACTIONS FROM ONE- AND TWO-BODY ELECTRONIC TERMS IN A DIMER