Abstract The lattice dynamics of high-temperature superconducting oxides are investigated within an extended version of the polarizability model of displacive type ferroelectrics. The local non-linear electron-phonon coupling together with an electronic instability are suggested to play the driving mechanism for electron pairing in superconductors. The transformation of the classical Hamiltonian to an extended Peierls-Hubbard type model admits the investigation of parameter regimes where pairing of electrons (holes) occurs.
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