The general solution of the Schrodinger equation for bound states

In this paper the Schrodinger equation for negative energies in the potential representation was considered, transforming it into integral equations. We presented the wave function multiplying the known solution on a function which depends on additional interaction potential. In this paper, we obtained and considered integral equations for defining eigenfunctions and eigenvalues of the perturbed system using unperturbed solutions of the Schrodinger equation. We used the obtained integral equations for finding eigenfunctions and eigenvalues for the Saxon-Woods potential using a harmonic oscillator like the model potential.