Non-uniqueness in the one-dimensional inverse scattering problem
- 1 November 1985
- journal article
- Published by IOP Publishing in Inverse Problems
- Vol. 1 (4) , 291-300
- https://doi.org/10.1088/0266-5611/1/4/003
Abstract
The Schrodinger equation in one dimension is considered for the case when at least one reflection amplitude at zero energy is unity. It is shown that if there exists a corresponding potential that causes no negative-energy bound states then there is a one-parameter family of potentials that causes the same scattering at all energies. Two explicit examples are given.Keywords
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