Forward scattering on the line with a transfer condition
Date
2013-12
Journal Title
Journal ISSN
Volume Title
Publisher
SpringerOpen [Commercial Publisher]
Abstract
We 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.
Description
Keywords
scattering, transfer condition, asymptotics, Jost solutions, spectrum
Citation
Currie, Sonja; Nowaczyk, Marlena and Watson, Bruce A. 2013. Forward scattering on the line with a transfer condition. Boundary Value Problems 2013 (1): 255.