Modified wave operators for discrete Schrödinger operators with long-range perturbations

DOI10.1063/1.4900896zbMath1301.81278arXiv1403.2795OpenAlexW2025514457MaRDI QIDQ2934177

Shu Nakamura

Publication date: 11 December 2014

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

Full work available at URL: https://arxiv.org/abs/1403.2795

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) (S)-matrix theory, etc. in quantum theory (81U20) Discrete version of topics in analysis (39A12) Hamilton-Jacobi equations in mechanics (70H20)

Related Items (11)

Essential spectrum of the discrete Laplacian on a perturbed periodic graph ⋮ Long-range scattering for discrete Schrödinger operators ⋮ 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 ⋮ Scattering on periodic metric graphs ⋮ Inverse scattering for Schrödinger operators on perturbed lattices ⋮ Eigenvalues of periodic difference operators on lattice octants ⋮ On a continuum limit of discrete Schrödinger operators on square lattice ⋮ Spectral properties of Schrödinger operators on perturbed lattices ⋮ Long-range scattering matrix for Schrödinger-type operators

Cites Work

• Inverse problems, trace formulae for discrete Schrödinger operators
• The existence of wave operators in scattering theory
• ON THE SPECTRAL PROPERTIES OF DISCRETE SCHRÖDINGER OPERATORS
• Microlocal dispersive smoothing for the Schrödinger equation
• Discrete-time signal processing. An algebraic approach
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