Inverse Scattering Theory for Schrödinger Operators with Steplike Potentials
We study the direct and inverse scattering problem for the one-dimensional Schrödinger equation with steplike potentials. We give necessary and sufficient conditions for the scattering data to correspond to a potential with prescribed smoothness and prescribed decay to its asymptotics. Our results g...
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| Date: | 2015 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2015
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/118023 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Inverse Scattering Theory for Schrödinger Operators with Steplike Potentials / I. Egorova, Z. Gladka, T.L. Lange, G. Teschl // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 2. — С. 123-158. — Бібліогр.: 44 назв. — англ. |