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The results of a numerical simulation are presented for the oxygen isotope effect in the high-T c oxides by solving the Schrödinger equation for a local vibrational mode of oxygen ions in a double well anharmonic potential of the form −Ax2/2+Bx4/4. The features of the energy spectrum, eigenfunctions and the matrix elements of the dipole and quadrupole moments are discussed. The applicability region of a two-level approximation to describe the electron-phonon interaction is given. The constant of the isotope effect α is determined to be comparable to that of La 2−x Sr x CuO 4 but in disagreement with the up-to-date experimental observations for the YBaCuO system.

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