Potentials Which Cause the Same Scattering at all Energies in One Dimension
- 25 May 1987
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 58 (21) , 2159-2161
- https://doi.org/10.1103/physrevlett.58.2159
Abstract
Explicit scattering solutions of the one-dimensional Schrödinger equation are given. A one-parameter family of the potentials considered here causes the same scattering at all energies. The previously published explicit examples of nonuniqueness in the one-dimensional inverse quantum problem are special cases of the potentials given here.Keywords
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