The relativistic multi-channel variable phase method for solving asymptotic equations in electron-atom and electron-ion scattering Original Research Article

The multi-channel variable phase method has been generalized to the relativistic case. The problem of solving a system of coupled radial Dirac equations without exchange has been reduced to the problem of direct outward integration of a non-linear differential equation satisfied by the reaction matrix K(r). The method is suitable for solving relativistic asymptotic equations occurring in the electron-atom and electron-ion scattering theory. A matching procedure for the relativistic R-matrix method and the relativistic multi-channel variable phase approach has been described.