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

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.

preprint2015arXivOpen access
Aleksey KostenkoGerald Teschl
math-phmath.MPmath.SP
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Aleksey KostenkoGerald Teschl

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