Inverse scattering. I. One dimension
- 1 March 1980
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 21 (3) , 493-505
- https://doi.org/10.1063/1.524447
Abstract
This paper presents two new methods of reconstructing an underlying potential in the one‐dimensional Schrödinger equation from a given S matrix. One of these methods is based on a Gel’fand–Levitan equation, the other on a Marchenko equation. A sequel of this paper will treat the three‐dimensional case by similar methods.Keywords
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