Currie, SonjaNowaczyk, MarlenaWatson, Bruce A.2016-10-042016-10-042013-12Currie, Sonja; Nowaczyk, Marlena and Watson, Bruce A. 2013. Forward scattering on the line with a transfer condition. Boundary Value Problems 2013 (1): 255.1687-2762 (print)1687-2770 (online)http://hdl.handle.net/10539/21125We consider scattering on the line with a transfer condition at the origin. Under suitable growth conditions on the potential, the spectrum consists of a finite number of eigenvalues which are negative real numbers, while the remainder is continuous spectrum which is comprised of the positive real axis. Asymptotics are provided for the Jost solutions. Conditions which characterize transfer conditions resulting in self-adjoint problems are found. Properties are given of the scattering coefficient linking it to the spectrum.en©2013 Currie et al.; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.scatteringtransfer conditionasymptoticsJost solutionsspectrumArticle