title: Non-relativistic and relativistic scattering by short-range potentials.
abstract: Relativistic and non-relativistic scattering by short-range potentials is investigated for selected problems. Scattering by the δ' potential in the Schrödinger equation and δ potentials in the Dirac equation must be solved by regularization, efficiently carried out by a perturbation technique involving a stretched variable. Asymmetric regularizations yield non-unique scattering coefficients. Resonant penetration through the potentials is found. Approximative Schrödinger equations in the non-relativistic limit are discussed in detail.
authors.affiliation: Department of Informatics, Technical University of Denmark, 2800 Kongens Lyngby, Denmark.
authors.forename: H
authors.initials: H
authors.lastname: Arnbak
authors.forename: P L
authors.initials: PL
authors.lastname: Christiansen
authors.forename: Yu B
authors.initials: YB
authors.lastname: Gaididei