Commun. Math. Phys. 322, 255-275 (2013) [DOI: 10.1007/s00220-013-1698-x]
Spectral Asymptotics for Perturbed Spherical Schrödinger Operators and Applications to Quantum Scattering
Aleksey Kostenko and Gerald Teschl
We find the high energy asymptotics for the singular Weyl-Titchmarsh m-functions and the associated spectral measures of perturbed spherical Schrödinger 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.