Trace formulas for Schr\"odinger operators on the half-line
Spectral Theory
2011-09-07 v1 Mathematical Physics
math.MP
Abstract
We study the scattering problem for the Schr\"odinger equation on the half-line with 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-Faddeev type.
Cite
@article{arxiv.1109.1024,
title = {Trace formulas for Schr\"odinger operators on the half-line},
author = {Semra Demirel and Muhammad Usman},
journal= {arXiv preprint arXiv:1109.1024},
year = {2011}
}
Comments
20 pages