Inverse scattering at a fixed energy for discrete Schrödinger operators on the square lattice

DOI10.5802/aif.2954zbMath1330.81192arXiv1208.4483OpenAlexW2962842023MaRDI QIDQ746905

Hisashi Morioka, Hiroshi Isozaki

Publication date: 21 October 2015

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.4483

zbMATH Keywords

scattering matrixdiscrete Schrödinger operatorinverse scattering problem

Mathematics Subject Classification ID

Inverse scattering problems in quantum theory (81U40) (S)-matrix theory, etc. in quantum theory (81U20) Discrete version of topics in analysis (39A12) Scattering theory of linear operators (47A40) Numerical solution of inverse problems involving ordinary differential equations (65L09)

Related Items (9)

Asymptotic properties of generalized eigenfunctions for multi-dimensional quantum walks ⋮ Essential spectrum of the discrete Laplacian on a perturbed periodic graph ⋮ Phase recovery from phaseless scattering data for discrete Schrödinger operators ⋮ Limiting absorption principle on L p-spaces and scattering theory ⋮ A Rellich type theorem for discrete Schrödinger operators ⋮ Inverse scattering for Schrödinger operators on perturbed lattices ⋮ Spectral properties of Schrödinger operators on perturbed lattices ⋮ Spectral and scattering theory for topological crystals perturbed by infinitely many new edges ⋮ Discrete Calderón problem with partial data

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