On the Jost Solutions for a Class of Schrödinger Equations with Piecewise Constant Coefficients
In this paper, the new integral representations for the Jost solutions of the one-dimensional Schrödinger equation with the piecewise-constant leading coe±cient are obtained. The connections, obtained between the kernel functions of the integral representations and the potential function of the Schr...
Збережено в:
| Дата: | 2015 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2015
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/118153 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On the Jost Solutions for a Class of Schrödinger Equations with Piecewise Constant Coefficients / A.A. Nabiev , Kh.R. Mamedov // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 3. — С. 279-296. — Бібліогр.: 10 назв. — англ. |
Репозитарії
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irk-123456789-118153 |
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irk-123456789-1181532017-05-29T03:04:55Z On the Jost Solutions for a Class of Schrödinger Equations with Piecewise Constant Coefficients Nabiev, A.A. Mamedov, Kh.R. In this paper, the new integral representations for the Jost solutions of the one-dimensional Schrödinger equation with the piecewise-constant leading coe±cient are obtained. The connections, obtained between the kernel functions of the integral representations and the potential function of the Schrödinger equation, enable to solve the inverse scattering problem on the entire real line. Получены новые интегральные представления для решений Йоста одномерного уравнения Шредингера с кусочно-постоянным главным коэффициентом. Связи, полученные между функциями ядра интегрального представления и потенциальной функцией уравнения Шредингера, позволят решить обратную задачу рассеяния на всей действительной оси. 2015 Article On the Jost Solutions for a Class of Schrödinger Equations with Piecewise Constant Coefficients / A.A. Nabiev , Kh.R. Mamedov // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 3. — С. 279-296. — Бібліогр.: 10 назв. — англ. 1812-9471 DOI: 10.15407/mag11.03.279 MSC2000: 34L40 http://dspace.nbuv.gov.ua/handle/123456789/118153 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this paper, the new integral representations for the Jost solutions of the one-dimensional Schrödinger equation with the piecewise-constant leading coe±cient are obtained. The connections, obtained between the kernel functions of the integral representations and the potential function of the Schrödinger equation, enable to solve the inverse scattering problem on the entire real line. |
| format |
Article |
| author |
Nabiev, A.A. Mamedov, Kh.R. |
| spellingShingle |
Nabiev, A.A. Mamedov, Kh.R. On the Jost Solutions for a Class of Schrödinger Equations with Piecewise Constant Coefficients Журнал математической физики, анализа, геометрии |
| author_facet |
Nabiev, A.A. Mamedov, Kh.R. |
| author_sort |
Nabiev, A.A. |
| title |
On the Jost Solutions for a Class of Schrödinger Equations with Piecewise Constant Coefficients |
| title_short |
On the Jost Solutions for a Class of Schrödinger Equations with Piecewise Constant Coefficients |
| title_full |
On the Jost Solutions for a Class of Schrödinger Equations with Piecewise Constant Coefficients |
| title_fullStr |
On the Jost Solutions for a Class of Schrödinger Equations with Piecewise Constant Coefficients |
| title_full_unstemmed |
On the Jost Solutions for a Class of Schrödinger Equations with Piecewise Constant Coefficients |
| title_sort |
on the jost solutions for a class of schrödinger equations with piecewise constant coefficients |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/118153 |
| citation_txt |
On the Jost Solutions for a Class of Schrödinger Equations with Piecewise Constant Coefficients / A.A. Nabiev , Kh.R. Mamedov // Журнал математической физики, анализа, геометрии. — 2015. — Т. 11, № 3. — С. 279-296. — Бібліогр.: 10 назв. — англ. |
| series |
Журнал математической физики, анализа, геометрии |
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AT nabievaa onthejostsolutionsforaclassofschrodingerequationswithpiecewiseconstantcoefficients AT mamedovkhr onthejostsolutionsforaclassofschrodingerequationswithpiecewiseconstantcoefficients |
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2025-07-08T13:27:49Z |
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