1205.5049 (Aleksey Kostenko et al.)

Spectral Asymptotics for Perturbed Spherical Schroedinger Operators and
Applications to Quantum Scattering    [PDF]

Aleksey Kostenko, Gerald Teschl

We find the high energy asymptotics for the singular Weyl-Titchmarsh m-functions and the associated spectral measures of perturbed spherical Schroedinger 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.

View original: http://arxiv.org/abs/1205.5049