Zero-range potentials with internal structures and the inverse scattering problem

DOI10.1007/BF00398401zbMath0761.35075OpenAlexW2140473117MaRDI QIDQ1201373

Pavel Kurasov

Publication date: 17 January 1993

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

Full work available at URL: https://doi.org/10.1007/bf00398401

zbMATH Keywords

Jost solutioninverse scattering problem on the half-axispotentials decreasing slowly at infinity

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse scattering problems in quantum theory (81U40) (2)-body potential quantum scattering theory (81U05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items

S-matrix, resonances, and wave functions for transport through billiards with leads, Zeroes of the spectral density of the periodic Schrödinger operator with Wigner–von Neumann potential, Zeroes of the spectral density of the Schrödinger operator with the slowly decaying Wigner-von Neumann potential, Resonances for a semi-classical Schrödinger operator near a non trapping energy level, Energy Dependent Boundary Conditions and the Few-Body Scattering Problem, Spectral asymptotics for Schrödinger operators with periodic point interactions, Reflectionless potentials and point interactions in Pontryagin spaces

Cites Work

• Non-uniqueness in the one-dimensional inverse scattering problem
• Exact solutions of the Schrodinger equation and the non-uniqueness of inverse scattering on the line
• The theory of extensions and explicitly-soluble models
• Extension of the one-dimensional scattering theory, and ambiguities
• Inverse scattering: an illicit reflection coefficient
• Unnamed Item