A rigorous derivation of the ‘‘miracle’’ identity of three-dimensional inverse scattering

DOI10.1063/1.526050zbMath0557.35027OpenAlexW2052266357MaRDI QIDQ3222562

Margaret Cheney

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526050

zbMATH Keywords

scattering solutionslarge-energy asymptotic behaviorNewton's three-dimensional inverse scattering theorythree-dimensional time-dependent Schrödinger equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10)

Related Items (4)

Uniqueness of the multi-dimensional inverse scattering problem for time dependent potentials ⋮ The connection between time- and frequency-domain three-dimensional inverse scattering methods ⋮ A new equation of scattering theory and its use in inverse scattering ⋮ Inverse scattering for standing wave solutions of the Schrödinger equation

Cites Work

• Exact and asymptotic solutions of the cauchy problem
• Inverse scattering. II. Three dimensions

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