Inverse scattering in dimension two

DOI10.1063/1.526003zbMath0554.35126OpenAlexW1963579233MaRDI QIDQ3217045

Margaret Cheney

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526003

zbMATH Keywords

Schrödinger equationinverse scatteringMarchenko equationtwo-body scattering

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10) (2)-body potential quantum scattering theory (81U05)

Related Items (7)

An asymptotic behavior of the S-matrix and the inverse scattering problem ⋮ Induced Surfaces and Their Integrable Dynamics ⋮ Soliton curvatures of surfaces and spaces ⋮ Unnamed Item ⋮ Velocity and density of a two-dimensional acoustic medium from point source surface data ⋮ Inverse backscattering in two dimensions ⋮ Two-dimensional inverse scattering: Compactness of the generalized Marchenko operator

Cites Work

• A formulation for higher dimensional inverse problems for the wave equation
• Inverse problem of quantum scattering theory. II
• Formal solutions of inverse scattering problems. III.
• Inverse scattering. II. Three dimensions
• Inverse scattering on the line
• A simple verification of the Gelfand‐Levitan equation for the three‐dimensional scattering problem

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