Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential
The characteristic properties of the scattering data for the Schr¨odinger operator on the axis with a triangular 2 × 2 matrix potential are obtained. A difference between the necessary and sufficient conditions for solvability of ISPunder consideration, contained in the previous works of the authors...
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| Опубліковано в: : | Журнал математической физики, анализа, геометрии |
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| Дата: | 2009 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/106545 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential / E.I. Zubkova, F.S. Rofe-Beketov // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 3. — С. 296-309. — Бібліогр.: 10 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862530939252375552 |
|---|---|
| author | Zubkova, E.I. Rofe-Beketov, F.S. |
| author_facet | Zubkova, E.I. Rofe-Beketov, F.S. |
| citation_txt | Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential / E.I. Zubkova, F.S. Rofe-Beketov // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 3. — С. 296-309. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | The characteristic properties of the scattering data for the Schr¨odinger operator on the axis with a triangular 2 × 2 matrix potential are obtained. A difference between the necessary and sufficient conditions for solvability of ISPunder consideration, contained in the previous works of the authors, is eliminated.
|
| first_indexed | 2025-11-24T02:16:01Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106545 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-11-24T02:16:01Z |
| publishDate | 2009 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Zubkova, E.I. Rofe-Beketov, F.S. 2016-09-30T07:31:47Z 2016-09-30T07:31:47Z 2009 Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential / E.I. Zubkova, F.S. Rofe-Beketov // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 3. — С. 296-309. — Бібліогр.: 10 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106545 The characteristic properties of the scattering data for the Schr¨odinger operator on the axis with a triangular 2 × 2 matrix potential are obtained. A difference between the necessary and sufficient conditions for solvability of ISPunder consideration, contained in the previous works of the authors, is eliminated. The authors are deeply grateful to D.G. Shepel’sky who attracted their attention to the question about possibility to omit condition H in the main theorem of [4, 5]. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential Article published earlier |
| spellingShingle | Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential Zubkova, E.I. Rofe-Beketov, F.S. |
| title | Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential |
| title_full | Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential |
| title_fullStr | Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential |
| title_full_unstemmed | Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential |
| title_short | Necessary and Sufficient Conditions in Inverse Scattering Problem on the Axis for the Triangular 2 x 2 Matrix Potential |
| title_sort | necessary and sufficient conditions in inverse scattering problem on the axis for the triangular 2 x 2 matrix potential |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106545 |
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