Scattering properties and dispersion estimates for a one‐dimensional discrete Dirac equation

DOI10.1002/mana.202000033zbMath1527.35329arXiv2001.08445MaRDI QIDQ6093950

Gerald Teschl, Elena A. Kopylova

Publication date: 9 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.08445

zbMATH Keywords

scattering matrixJost solutionsWiener algebradispersive decaydiscrete Dirac equationGelfand-Levitan-Marchenko equations

Mathematics Subject Classification ID

Asymptotic distributions of eigenvalues in context of PDEs (35P20) Perturbation theories for operators and differential equations in quantum theory (81Q15) Discrete version of topics in analysis (39A12) Difference operators (39A70) Time-dependent Schrödinger equations and Dirac equations (35Q41)

Cites Work

• Dispersion estimates for one-dimensional discrete Dirac equations
• Dispersion estimates for one-dimensional discrete Schrödinger and wave equations
• The \(L^{p}\)-\(L^{p'}\) estimate for the Schrödinger equation on the half-line
• Dispersion estimates for one-dimensional Schrödinger and Klein-Gordon equations revisited
• Inverse scattering on the line
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