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...
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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 |
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| Online Access: | http://ijocta.org/index.php/files/article/view/507 |
| Summary: | 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.
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| ISSN: | 2146-0957 2146-5703 |