Faddeev Equations for Atomic Problems and Solutions for the (e,H) System

Solutions of the Faddeev equations for Coulomb potentials are investigated. A method which is of practical use for solving the Faddeev equations below the three-particle breakup threshold is developed. As an example, the method is applied to the (e, H) system in which the ${\mathrm{H}}^{-}$ bound state and the lowest members of the resonances in both the singlet and the triplet $J=0\mathrm{}$ series are calculated. The results are in good agreement with the experimental measurements and previous calculations which used conventional methods.