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Starting from the $\pi$-electron Pariser-Parr-Pople (PPP) Hamiltonian whichincludes both strong electron-phonon and electron-electron interactions, wepropose some strongly correlated wave functions of increasing quality for theground state of conjugated polymers. These wavefunctions are built by combiningdifferent finite sets of local configurations extended at most over twonearest-neighbour monomers. With this picture, the doped case with oneadditional particle is expressed in terms of quasi-particle. Thus, the polaronformation problem goes back to the study of a Holstein like model.Comment: 27 pages, 6 eps figs, Revtex; enlarged version. Submitted to Journal  of Physics: Condensed Matte

The molecular crystal approach for pi-conjugated polymers: from the Pariser-Parr-Pople Hamiltonian to the Holstein model for polaron states