A rigorous derivation of the ‘‘miracle’’ identity of three-dimensional inverse scattering
- 1 October 1984
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 25 (10), 2988-2990
- https://doi.org/10.1063/1.526050
Abstract
The large-energy asymptotic behavior of scattering solutions of the three-dimensional time-dependent Schrödinger equation is investigated. The second term of the expansion leads to the ‘‘miracle’’ of Newton’s three-dimensional inverse scattering theory.Keywords
This publication has 7 references indexed in Scilit:
- Inverse scattering. IV. Three dimensions: generalized Marchenko construction with bound states, and generalized Gel’fand–Levitan equationsJournal of Mathematical Physics, 1982
- Inverse scattering. III. Three dimensions, continuedJournal of Mathematical Physics, 1981
- Stable Solution of the Inverse Reflection Problem for a Smoothly Stratified Elastic MediumSIAM Journal on Mathematical Analysis, 1981
- A formulation for higher dimensional inverse problems for the wave equationComputers & Mathematics with Applications, 1981
- Inverse scattering. II. Three dimensionsJournal of Mathematical Physics, 1980
- The Plasma Inverse ProblemJournal of Mathematical Physics, 1972
- Exact and asymptotic solutions of the cauchy problemCommunications on Pure and Applied Mathematics, 1960