Explicit formula for Schrödinger wave operators on the half-line for potentials up to optimal decay

DOI10.1016/J.JFA.2020.108630zbMath1481.47010arXiv1903.04242OpenAlexW3024872699MaRDI QIDQ785845

Hideki Inoue

Publication date: 12 August 2020

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.04242

zbMATH Keywords

Volterra integral equationscattering theoryindex theoremwave operators

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Scattering theory of linear operators (47A40) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (3)

Levinson's theorem as an index pairing ⋮ Scattering operator and wave operators for 2D Schrödinger operators with threshold obstructions ⋮ Schrödinger wave operators on the discrete half-line

Cites Work

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• Scattering theory: some old and new problems
• Index theorems for Fredholm, semi-Fredholm, and almost periodic operators: all in one example
• Small-energy asymptotics for the Schrödinger equation on the line
• On the structure of the wave operators in one dimensional potential scattering
• Levinson’s Theorem: An Index Theorem in Scattering Theory
• Does Levinson’s theorem count complex eigenvalues?
• The \(W^{k,p}\)-continuity of wave operators for Schrödinger operators

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