Spectral problem of the radial Schrödinger equation with confining power potentials

Research paper by R. N. Faustov, V. O. Galkin, A. V. Tatarintsev, A. S. Vshivtsev

Indexed on: 01 Dec '97Published on: 01 Dec '97Published in: Theoretical and Mathematical Physics


We suggest an approach in which the Schrödinger 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 Schrödinger-type equations. Good agreement with experimental data is achieved.