The one-dimensional inverse scattering problem for an increasing potential

DOI10.1063/1.527185zbMath0594.47006OpenAlexW1974783189MaRDI QIDQ3724999

Gerhard Kristensson

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527185

zbMATH Keywords

Schrödinger equationMarchenko methodone-dimensional inverse scattering problemhard core potentialsextension of the triangularity conditioninverse radial problempotentials that grow without limit for large x values

Mathematics Subject Classification ID

(2)-body potential quantum scattering theory (81U05) Scattering theory of linear operators (47A40)

Related Items (3)

Asymptotics of resonances for 1D Stark operators ⋮ Eigenvalue bounds for Stark operators with complex potentials ⋮ Absolute summability of the trace relation for certain Schrödinger operators

Cites Work

• Inverse scattering problem for the Schrödinger equation on the axis
• Inverse scattering on the line

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