title: Modified J-matrix method for scattering.
abstract: We modify the J-matrix technique for scattering so that problems with long-range interactions are easily solved. This is done by introducing additional terms in the asymptotic three-term recurrence relation that take into account asymptotic effects of the potential. The solutions of this modified recurrence relation are a very good approximation of the exact scattering solution. Only a small number of residual coefficients need to be calculated. As a result, the numerical effort to solve the scattering problem is seriously reduced. The technique is illustrated with a Yukawa potential.
authors.affiliation: Departement Wiskunde-Informatica, Universiteit Antwerpen, Groenenborgerlaan 171, 2020 Antwerp, Belgium.
authors.forename: Wim
authors.initials: W
authors.lastname: Vanroose
authors.forename: Jan
authors.initials: J
authors.lastname: Broeckhove
authors.forename: Frans
authors.initials: F
authors.lastname: Arickx