Spectral identities for Schrödinger operators
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2019
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| _version_ | 1866909596074901504 |
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| author | Guliyev, Namig J. |
| author_facet | Guliyev, Namig J. |
| contents | We obtain a system of identities relating boundary coefficients and spectral data for the one-dimensional Schrödinger equation with boundary conditions containing rational Herglotz--Nevanlinna functions of the eigenvalue parameter. These identities can be thought of as a kind of mini version of the Gelfand--Levitan integral equation for boundary coefficients only. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1910_05812 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Spectral identities for Schrödinger operators Guliyev, Namig J. Mathematical Physics Classical Analysis and ODEs Functional Analysis Spectral Theory 34B07, 34L40, 34L15, 34A55, 15B05 We obtain a system of identities relating boundary coefficients and spectral data for the one-dimensional Schrödinger equation with boundary conditions containing rational Herglotz--Nevanlinna functions of the eigenvalue parameter. These identities can be thought of as a kind of mini version of the Gelfand--Levitan integral equation for boundary coefficients only. |
| title | Spectral identities for Schrödinger operators |
| topic | Mathematical Physics Classical Analysis and ODEs Functional Analysis Spectral Theory 34B07, 34L40, 34L15, 34A55, 15B05 |
| url | https://arxiv.org/abs/1910.05812 |