A constructive procedure to recover asymptotics of short-range or long-range potentials

DOI10.1016/j.jde.2004.05.015zbMath1080.35179OpenAlexW2053178366MaRDI QIDQ704222

François Nicoleau

Publication date: 13 January 2005

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2004.05.015

zbMATH Keywords

Schrödinger operatorsscattering amplitudeinverse potential scattering

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Inverse scattering problems in quantum theory (81U40)

Related Items

High‐energy and smoothness asymptotic expansion of the scattering amplitude for the Dirac equation and application, An inverse scattering problem for the Schrödinger equation in a semiclassical process, Inverse scattering for a Schrödinger operator with a repulsive potential

Cites Work

• Unnamed Item
• The Radon transform
• Recovering asymptotics of short range potentials
• Recovering asymptotics of metrics from fixed energy scattering data
• Rational solitons of the Veselov-Novikov equations are reflectionless two-dimensional potentials at fixed energy
• Scattering metrics and geodesic flow at infinity
• An inverse scattering problem with the Aharonov–Bohm effect
• The $ \bar\partial$-equation in the multidimensional inverse scattering problem
• A stationary approach to inverse scattering for schrodinger operators with first order perturbation
• Explicitly recovering asymptotics of short range potentials
• The geometrical approach to multidimensional inverse scattering
• MULTI-DIMENSIONAL INVERSE SCATTERING THEORY FOR SCHRÖDINGER OPERATORS