On the solutions of the Gel’fand–Levitan equation

DOI10.1063/1.526381zbMath0557.35105OpenAlexW2071619137MaRDI QIDQ3222635

Reese T. Prosser

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1063/1.526381

zbMATH Keywords

inverse scattering problemsclosed formGel'fand-Levitan equationrational reflection coefficients

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Inverse problems for PDEs (35R30) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• On the determination of a differential equation from its spectral function
• Explicit non-central potentials and wave functions for givenS-matrices
• The inverse scattering problem when the reflection coefficient is a rational function
• Inverse scattering—exact solution of the Gel’fand-Levitan equation
• Inverse scattering on the line
• Eigenvalues and eigenfunctions associated with the Gel’fand–Levitan equation

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