A two-dimensional R-matrix propagator. Implementation and test on the s-wave model for e-H scattering

A two-dimensional R-matrix propagation procedure is presented which provides an accurate numerical solution of the two-electron Schrodinger equation. Its application to the s-wave electron-hydrogen model problem establishes its numerical stability and illustrates its efficiency for electron-impact excitation of high Rydberg states, as well as for ionization in the threshold and intermediate energy regions, which have long defied accurate treatments.