Necessary and sufficient condition for a scattering amplitude to correspond to a spherically symmetric scatterer

DOI10.1016/0893-9659(89)90066-9zbMath0709.35101OpenAlexW2041035811MaRDI QIDQ921276

Alexander G. Ramm

Publication date: 1989

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0893-9659(89)90066-9

zbMATH Keywords

scattering amplitudespherically symmetric potential

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Schrödinger operator, Schrödinger equation (35J10)

Related Items (3)

Symmetry properties of scattering amplitudes and applications to inverse problems ⋮ 3D inverse scattering ⋮ SOME RESULTS ON INVERSE SCATTERING

Cites Work

• Unnamed Item
• On a property of the set of radiation patterns
• Multidimensional inverse problems and completeness of the products of solutions to PDE
• Karp's Theorem in Acoustic Scattering Theory
• Recovery of the potential from fixed-energy scattering data

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