Spectral Asymptotics for Perturbed Spherical Schr\"odinger Operators and Applications to Quantum Scattering
Spectral Theory
2015-04-24 v2 Mathematical Physics
math.MP
Abstract
We find the high energy asymptotics for the singular Weyl--Titchmarsh m-functions and the associated spectral measures of perturbed spherical Schr\"odinger operators (also known as Bessel operators). We apply this result to establish an improved local Borg-Marchenko theorem for Bessel operators as well as uniqueness theorems for the radial quantum scattering problem with nontrivial angular momentum.
Keywords
Cite
@article{arxiv.1205.5049,
title = {Spectral Asymptotics for Perturbed Spherical Schr\"odinger Operators and Applications to Quantum Scattering},
author = {Aleksey Kostenko and Gerald Teschl},
journal= {arXiv preprint arXiv:1205.5049},
year = {2015}
}
Comments
20 pages