PERTURBATION-THEORY FOR THE ONE-DIMENSIONAL SCHRODINGER SCATTERING PROBLEM

A perturbation theory is constructed within the framework of the linea r form of the variable phase approach. This allows one to correctly ta ke into account the potential tail which decreases more rapidly than t he centrifugal tail. It is shown how one can use this theory for an an alysis of the scattering problem in the low-energy limit and in the li mit of large angular momentum.