Remarks on inverse scattering in one dimension

DOI10.1063/1.526014zbMath0557.35112OpenAlexW2001670403MaRDI QIDQ3222642

Roger G. Newton

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526014

zbMATH Keywords

integrabilityS matrixforward analyticitymatrix-Marchenko procedure

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (9)

Scattering in one dimension: The coupled Schrödinger equation, threshold behaviour and Levinson’s theorem ⋮ Scattering and inverse scattering for the 1-D Schrödinger equation with energy-dependent potentials ⋮ Nonuniqueness in inverse acoustic scattering on the line ⋮ Spatial 't Hooft loop to cubic order in hot QCD. II. ⋮ Scattering for step-periodic potentials in one dimension ⋮ Levinson’s theorem, zero-energy resonances, and time delay in one-dimensional scattering systems ⋮ Theorem of Levinson via the spectral density ⋮ Explicit Wiener-Hopf factorization for certain non-rational matrix functions ⋮ On the Riemann–Hilbert problem for the one-dimensional Schrödinger equation

Cites Work

• Inverse scattering by a local impurity in a periodic potential in one dimension
• Inverse scattering. I. One dimension
• Inverse scattering on the line
• On a generalized Hilbert problem

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