New Result on the Inverse Scattering Problem in Three Dimensions
- 20 August 1979
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 43 (8), 541-542
- https://doi.org/10.1103/physrevlett.43.541
Abstract
Under the assumption that there are no bound states, a singular linear integral equation for the scattering wave function is derived whose kernel contains the scattering amplitude only. The equation is used to obtain a representation of the potential in terms of the scattering amplitude and the wave function. The final result is a three-dimensional analog of the Marchenko equation.Keywords
This publication has 3 references indexed in Scilit:
- Inverse scattering on the lineCommunications on Pure and Applied Mathematics, 1979
- Inverse problem of scattering and off-shell continuation of the transition amplitudePhysical Review D, 1974
- A simple verification of the Gelfand‐Levitan equation for the three‐dimensional scattering problemCommunications on Pure and Applied Mathematics, 1961