The transition integral is calculated from an oscillatory state to another oscillatory phase state with a different equilibrium point. It is understood that the wave functions between harmonic oscillators form a complete system of orthogonal functions, however, it turns out that the transition integral between one energy level and another is different from zero. This is possible because the oscillators move around a point of balance in desface. Two methods are used, one analytical and the other algebraic, which due to its symmetrical shape allows us a much more intuitive view of the phenomenon. Graphical results are shown that prove that the electron phonon interaction process takes place with high probability together with the multiple mode exchanges between the absorption centers.