A non-perturbative treatment of the generalized Su-Schrieffer-Heeger Hamiltonian on a dimer

Starting from the Hamiltonian for a dimer which includes all the electronic and electron-phonon terms consistent with a non-degenerate orbital, by a s equence of displacement and squeezing transformation we obtain an effective polaronic Hamiltonian. The renormalized electronic interactions differ fro m the results of semiclassical or perturbative treatments. The properties o f the variationally determined ground state of two particles in the orbital are discussed for variable dimer length in the adiabatic limit.