%0 Journal Article
%T Trace formulas for Schr dinger operators on the half-line
%A Semra Demirel
%A Muhammad Usman
%J Bulletin of Mathematical Sciences
%@ 1664-3615
%D 2011
%I Springer
%R 10.1007/s13373-011-0016-1
%X We study the scattering problem for the Schr dinger equation on the half-line with the Robin boundary condition at the origin. We derive an expression for the trace of the difference of the perturbed and unperturbed resolvent in terms of a Wronskian. This leads to a representation for the perturbation determinant and to trace identities of Buslaev¨CFaddeev type.
%U http://link.springer.com/article/10.1007/s13373-011-0016-1