Spectral asymptotics for perturbed spherical Schrödinger operators and applications to quantum scattering

DOI10.1007/s00220-013-1698-xzbMath1284.34130arXiv1205.5049OpenAlexW3098475750WikidataQ57343593 ScholiaQ57343593MaRDI QIDQ2391891

Gerald Teschl, Aleksey S. Kostenko

Publication date: 5 August 2013

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5049

zbMATH Keywords

Sturm-Liouville problemWeyl functionsquantum mechanical scatteringspherical Schrödinger operators

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Weyl theory and its generalizations for ordinary differential equations (34B20) General spectral theory of ordinary differential operators (34L05)

Related Items

On the Weyl solution of the 1-dim Schrödinger operator with inverse fourth power potential ⋮ Eigenvalue asymptotics for Dirac–Bessel operators ⋮ Inverse scattering problem for Sturm–Liouville operators with Bessel singularities on noncompact star-type graphs ⋮ Dispersion estimates for spherical Schrödinger equations ⋮ Scattering for general-type Dirac systems on the semi-axis: reflection coefficients and Weyl functions ⋮ Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators ⋮ Direct and inverse spectral theorems for a class of canonical systems with two singular endpoints ⋮ Spectral asymptotics for canonical systems ⋮ A transmutation operator method for solving the inverse quantum scattering problem ^* ⋮ Spectral properties of Sturm-Liouville problems with strongly singular potentials ⋮ Spherical Schrödinger operators with δ-type interactions ⋮ Transformation operators for spherical Schrödinger operators ⋮ On spectral deformations and singular Weyl functions for one-dimensional Dirac operators

Uses Software

• DLMF

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