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arXiv · 1205.5049

Spectral Asymptotics for Perturbed Spherical Schrödinger Operators and Applications to Quantum Scattering

Aleksey Kostenko·Gerald Teschl
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Abstract

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.

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Aleksey Kostenko, Gerald Teschl. 2015-04-23. Spectral Asymptotics for Perturbed Spherical Schrödinger Operators and Applications to Quantum Scattering. https://doi.org/10.1007/s00220-013-1698-x

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