On discrete inverse scattering problems. II
- 1 July 1973
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 14 (7), 916-920
- https://doi.org/10.1063/1.1666417
Abstract
A discrete version of the inverse scattering problem of the Schrödinger equation with a potential is discussed. The approach is via the Marchenko equation. Interest is primarily pedagogical. All steps are elementary and relatively obvious. Passage to the continuous case as a limit is heuristically straightforward. An example shows ``how'' the formalism does produce the potential from scattering data.Keywords
This publication has 3 references indexed in Scilit:
- A discrete version of the inverse scattering problemJournal of Mathematical Physics, 1973
- On the determination of a differential equation from its spectral functionPublished by American Mathematical Society (AMS) ,1955
- Construction of a Potential from a Phase ShiftPhysical Review B, 1952