Semiclassical low energy scattering for one-dimensional Schrödinger operators with exponentially decaying potentials

DOI10.1007/s00023-011-0155-7zbMath1258.81038arXiv1105.4221OpenAlexW3100946122MaRDI QIDQ451772

Saleh Tanveer, Roland Donninger, Wilhelm Schlag, Ovidiu Costin

Publication date: 24 September 2012

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1105.4221

zbMATH Keywords

semi-classical limit(low energy) scattering theoryJost functions

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) (2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)

Related Items

SL(3, C) structure of one-dimensional Schrödinger equation ⋮ A vector field method on the distorted Fourier side and decay for wave equations with potentials ⋮ An example of Newton's method for an equation in Gevrey series ⋮ On pointwise decay of waves ⋮ Formulation of a unified method for low- and high-energy expansions in the analysis of reflection coefficients for one-dimensional Schrödinger equation

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