Spectral problem of the radial Schrodinger equation with confining power potentials

We suggest an approach in which the Schrodinger equation for several widely used potentials is reduced to the eigenvalue problem for an infinite system of algebraic equations. The method is convenient for both analytical and numerical calculations. With the help of this approach, the mass spectra of "charmonium" and "bottomonium" are calculated for the "Cornell" potential, and for the sum of the Coulomb and oscillator potentials. The method proposed allows one to determine the mass spectra of relativistic Schrodinger-type equations. Good agreement with experimental data is achieved.