On inverse scattering for the \(N\)-body Schrödinger equation

DOI10.1006/JFAN.1998.3324zbMath0928.35208OpenAlexW1546930698MaRDI QIDQ1281646

Roman G. Novikov

Publication date: 12 January 2000

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1998.3324

Mathematics Subject Classification ID

Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40)

Related Items (3)

Inverse scattering problem for time dependent Hartree-Fock equations in the three-body case ⋮ Inverse \(N\)-body scattering with the time-dependent Hartree-Fock approximation ⋮ Time-dependent methods in inverse scattering problems for the Hartree-Fock equation

Cites Work

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• Spectral analysis of N-body Schrödinger operators
• Structure of the resolvent for three-body potentials
• Small angle scattering and \(X\)-ray transform in classical mechanics
• Exponential bounds and absence of positive eigenvalues for N-body Schrödinger operators
• Resolvent estimates and scattering matrix for \(N\)-particle Hamiltonians
• Radiation conditions and scattering theory for \(N\)-particle Hamiltonians
• High energy resolvent estimates for generalized many-body Schrödinger operators
• An asymptotic behavior of the S-matrix and the inverse scattering problem
• A uniqueness result for the inverse back-scattering problem
• Inverse scattering on the line
• On the uniqueness of inverse scattering for N-body systems
• Inverse two-cluster scattering
• The geometrical approach to multidimensional inverse scattering
• SMOOTHNESS OF N-BODY SCATTERING AMPLITUDES

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