Long-range scattering for discrete Schrödinger operators

DOI10.1007/S00023-019-00763-WOpenAlexW2630012467MaRDI QIDQ2414918

Yukihide Tadano

Publication date: 17 May 2019

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

Full work available at URL: https://arxiv.org/abs/1605.02466

zbMATH Keywords

difference operatorsdiscrete Schrödinger operatorsmodified wave operatorslong-range scattering theorytime-independent modifiers

Mathematics Subject Classification ID

(2)-body potential quantum scattering theory (81U05) Linear difference operators (47B39) Scattering theory of linear operators (47A40)

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Asymptotic properties of generalized eigenfunctions for multi-dimensional quantum walks ⋮ Remarks on scattering matrices for Schrödinger operators with critically long-range perturbations ⋮ Semiclassical analysis and the Agmon-Finsler metric for discrete Schrödinger operators ⋮ Long-range scattering theory for discrete Schrödinger operators on graphene ⋮ Spectral and scattering theory for topological crystals perturbed by infinitely many new edges ⋮ Long-range scattering matrix for Schrödinger-type operators

Cites Work

• Inverse problems, trace formulae for discrete Schrödinger operators
• Spectral properties of Schrödinger operators on perturbed lattices
• Intermediate spectral theory and quantum dynamics
• A scattering theory for time-dependent long-range potentials
• Modified wave operators for discrete Schrödinger operators with long-range perturbations
• Microlocal properties of scattering matrices
• ON THE SPECTRAL PROPERTIES OF DISCRETE SCHRÖDINGER OPERATORS
• Spectral and scattering theory for Schrödinger operators on perturbed topological crystals
• \(C_0\)-groups, commutator methods and spectral theory of \(N\)-body Hamiltonians
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