Finite-range solutions to the one-dimensional inverse scattering problem |
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| Affiliation: | 1. Department of Organismic and Evolutionary Biology, Harvard University, Cambridge, MA 02138, USA;2. Program for Evolutionary Dynamics, Harvard University, Cambridge, MA 02138, USA;3. Department of Mathematics, Columbia University, New York, NY 10027, USA |
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| Abstract: | The purpose of this paper is to suggest some ideas concerning the obtention of finite range solutions to the so-called one-dimensional inverse scattering problem. A necessary condition on the ratio of the reflection and transmission coefficients is given for the corresponding potential to be cutoff on both sides. |
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