Eigenvalues and eigenfunctions associated with the Gel’fand–Levitan equation

DOI10.1063/1.526004zbMath0561.35066OpenAlexW1985727275MaRDI QIDQ5186080

H. E. Moses, 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/10.1063/1.526004

zbMATH Keywords

inverse potential scatteringGel'fand-Levitan equationoperators of trace classrational reflection coefficients

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) (2)-body potential quantum scattering theory (81U05) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (1)

On the solutions of the Gel’fand–Levitan equation

Cites Work

• Fredholm determinants and inverse scattering problems
• The inverse scattering problem when the reflection coefficient is a rational function
• Exact solutions of the one-dimensional acoustic wave equations for several new velocity profiles: Transmission and reflection coefficients
• Inverse scattering—exact solution of the Gel’fand-Levitan equation
• An Example of the Effect of Rescaling of the Reflection Coefficient on the Scattering Potential for the One-Dimensional Schrodinger Equation

This page was built for publication: Eigenvalues and eigenfunctions associated with the Gel’fand–Levitan equation