A stationary approach to inverse scattering for schrodinger operators with first order perturbation

DOI10.1080/03605309708821273zbMath0882.35086OpenAlexW2010854524MaRDI QIDQ4340666

François Nicoleau

Publication date: 10 June 1997

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605309708821273

zbMATH Keywords

asymptotic expansionmodified wave operators

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30)

Related Items (13)

Aharonov-Bohm effect and high-momenta inverse scattering for the Klein-Gordon equation ⋮ An inverse scattering problem for the Schrödinger equation in a semiclassical process ⋮ Riemann–Hilbert problem approach for two-dimensional flow inverse scattering ⋮ Inverse scattering at high energies for classical relativistic particles in a long-range electromagnetic field ⋮ High-energy and smoothness asymptotic expansion of the scattering amplitude. ⋮ An inverse scattering problem for Dirac equations with time-dependent electromagnetic potentials ⋮ An inverse scattering problem with the Aharonov–Bohm effect ⋮ Inverse scattering at fixed energy for radial magnetic Schrödinger operators with obstacle in dimension two ⋮ Scattering amplitude and scattering phase for the Schrödinger equation with strong magnetic field ⋮ A constructive procedure to recover asymptotics of short-range or long-range potentials ⋮ On inverse scattering at high energies for the multidimensional nonrelativistic Newton equation in electromagnetic field ⋮ Inverse scattering for a Schrödinger operator with a repulsive potential ⋮ Stability estimate in the inverse scattering for a single quantum particle in an external short-range potential

Cites Work

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• Propagation properties of quantum scattering states
• Scattering of particles by long-range magnetic fields
• Inverse scattering problem for the Schrödinger equation with magnetic potential at a fixed energy
• Multidimensional inverse scattering in an electric field
• Quantum-mechanical scattering theory for short-range and Coulomb interactions
• An Inverse Problem for the Wave Equation with First Order Perturbation
• On the uniqueness of inverse scattering for N-body systems
• The geometrical approach to multidimensional inverse scattering

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