On the Abstract Inverse Scattering Problem for Trace Class Perturbations
The scattering problem for a pair of selfadjoint operators {L₀, L}, where L - L₀ is of trace-class, is studied. The explicit form of the scattering matrix and its properties are defined. The equation for the inverse problem is obtained.
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| Date: | 2017 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2017
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| Series: | Журнал математической физики, анализа, геометрии |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/140563 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | On the Abstract Inverse Scattering Problem for Trace Class Perturbations / R. Hatamleh, V.A. Zolotarev // Журнал математической физики, анализа, геометрии. — 2017. — Т. 13, № 1. — С. 3-34. — Бібліогр.: 21 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | The scattering problem for a pair of selfadjoint operators {L₀, L}, where L - L₀ is of trace-class, is studied. The explicit form of the scattering matrix and its properties are defined. The equation for the inverse problem is obtained. |
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