An integral equation for the Gel’fand–Levitan kernel in terms of the scattering potential in the one-dimensional case

DOI10.1063/1.522657zbMath0313.45001OpenAlexW2094622273MaRDI QIDQ4072313

H. E. Moses

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1063/1.522657

Mathematics Subject Classification ID

Linear integral equations (45A05)

Related Items (3)

Partial differential matrix equations for the inverse problem of scattering theory ⋮ A kernel of Gel’fand–Levitan type for the three-dimensional Schrödinger equation ⋮ The Riemann solution in the one-dimensional inverse problem

Cites Work

• Analytic Continuation of the Regular Solution of the Schrödinger Equation in the Complex Angular Momentum Plane
• Certain Explicit Relationships between Phase Shift and Scattering Potential

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