Boundary values for an eigenvalue problem with a singular potential
In this paper we consider the inverse spectral problem on the interval [0,1]. This determines the three-dimensional Schrödinger equation with from singular symmetric potential. We show that the two spectrums uniquely identify the potential function q(r) in a single Sturm-Liouville equation, and we o...
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| Format: | Article |
| Language: | English |
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Balikesir University
2017-12-01
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| Series: | An International Journal of Optimization and Control: Theories & Applications |
| Subjects: | |
| Online Access: | http://ijocta.org/index.php/files/article/view/507 |
| _version_ | 1797922452361183232 |
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| author | Münevver Tuz |
| author_facet | Münevver Tuz |
| author_sort | Münevver Tuz |
| collection | DOAJ |
| description | In this paper we consider the inverse spectral problem on the interval [0,1]. This determines the three-dimensional Schrödinger equation with from singular symmetric potential. We show that the two spectrums uniquely identify the potential function q(r) in a single Sturm-Liouville equation, and we obtain new evidence for the difference in the q(r)-q(r)of the Hochstadt theorem. |
| first_indexed | 2024-04-10T14:31:35Z |
| format | Article |
| id | doaj.art-508d37063cb54e76bf21ac7feb48745e |
| institution | Directory Open Access Journal |
| issn | 2146-0957 2146-5703 |
| language | English |
| last_indexed | 2024-04-10T14:31:35Z |
| publishDate | 2017-12-01 |
| publisher | Balikesir University |
| record_format | Article |
| series | An International Journal of Optimization and Control: Theories & Applications |
| spelling | doaj.art-508d37063cb54e76bf21ac7feb48745e2023-02-15T16:08:47ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications2146-09572146-57032017-12-017310.11121/ijocta.01.2017.00507Boundary values for an eigenvalue problem with a singular potentialMünevver Tuz0Fırat ÜniversitesiIn this paper we consider the inverse spectral problem on the interval [0,1]. This determines the three-dimensional Schrödinger equation with from singular symmetric potential. We show that the two spectrums uniquely identify the potential function q(r) in a single Sturm-Liouville equation, and we obtain new evidence for the difference in the q(r)-q(r)of the Hochstadt theorem.http://ijocta.org/index.php/files/article/view/507Spectruminvers problemeigenvaluesecond-order differential equation. |
| spellingShingle | Münevver Tuz Boundary values for an eigenvalue problem with a singular potential An International Journal of Optimization and Control: Theories & Applications Spectrum invers problem eigenvalue second-order differential equation. |
| title | Boundary values for an eigenvalue problem with a singular potential |
| title_full | Boundary values for an eigenvalue problem with a singular potential |
| title_fullStr | Boundary values for an eigenvalue problem with a singular potential |
| title_full_unstemmed | Boundary values for an eigenvalue problem with a singular potential |
| title_short | Boundary values for an eigenvalue problem with a singular potential |
| title_sort | boundary values for an eigenvalue problem with a singular potential |
| topic | Spectrum invers problem eigenvalue second-order differential equation. |
| url | http://ijocta.org/index.php/files/article/view/507 |
| work_keys_str_mv | AT munevvertuz boundaryvaluesforaneigenvalueproblemwithasingularpotential |