A kernel of Gel’fand–Levitan type for the three-dimensional Schrödinger equation

DOI10.1063/1.524313zbMath0453.35071OpenAlexW2050638700MaRDI QIDQ3900421

H. E. Moses

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1063/1.524313

zbMATH Keywords

three-dimensional Schrödinger equationJost wave functionskernel of Gel'fand-Levitan typeultrahyperbolic partial differential equation

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Partial differential equations of mathematical physics and other areas of application (35Q99)

Cites Work

• Calculation of the Scattering Potential from Reflection Coefficients
• The determination of the scattering potential from the spectral measure function
• Jost solutions and Green’s functions for the three-dimensional Schrödinger equation
• An integral equation for the Gel’fand–Levitan kernel in terms of the scattering potential in the one-dimensional case
• A simple verification of the Gelfand‐Levitan equation for the three‐dimensional scattering problem

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