Finite-element analysis of electron-hydrogen scattering

The Schrödinger equation for electron-hydrogen scattering is solved directly using finite-element analysis. Below the n=2 threshold, accurate phase shifts for 0≤L≤3 are obtained and compared with variational and R-matrix results. Resonance positions and widths are also calculated and are in good agreement with other theoretical values. Above the n=2 threshold, partial-wave contributions to the cross sections ${\mathrm{\sigma }}_{1\mathit{s}\mathrm{-}1\mathit{s}}$, ${\mathrm{\sigma }}_{1\mathit{s}\mathrm{-}2\mathit{s}}$, and ${\mathrm{\sigma }}_{1\mathit{s}\mathrm{-}2\mathit{p}}$ are calculated and compared with those obtained using close-coupling and R-matrix methods. Wave functions are shown for both elastic and multichannel scattering.