Direct and inverse spectral problems for the Schrodinger operator with double generalized Regge boundary conditions
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909745882857472 |
|---|---|
| author | Xu, Xiao-Chuan Huang, Yu-Ting |
| author_facet | Xu, Xiao-Chuan Huang, Yu-Ting |
| contents | In this paper, we study the direct and inverse spectral problems for the Schrodinger operator with two generalized Regge boundary conditions. For the direct problem, we give the properties of the spectrum, including the asymptotic distribution of the eigenvalues. For the inverse problems, we prove several uniqueness theorems, including the cases: even potential, two-spectra, as well as the general partial inverse problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_20642 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Direct and inverse spectral problems for the Schrodinger operator with double generalized Regge boundary conditions Xu, Xiao-Chuan Huang, Yu-Ting Spectral Theory Mathematical Physics 34A55, 34L20, 34L40, 34B07 In this paper, we study the direct and inverse spectral problems for the Schrodinger operator with two generalized Regge boundary conditions. For the direct problem, we give the properties of the spectrum, including the asymptotic distribution of the eigenvalues. For the inverse problems, we prove several uniqueness theorems, including the cases: even potential, two-spectra, as well as the general partial inverse problem. |
| title | Direct and inverse spectral problems for the Schrodinger operator with double generalized Regge boundary conditions |
| topic | Spectral Theory Mathematical Physics 34A55, 34L20, 34L40, 34B07 |
| url | https://arxiv.org/abs/2412.20642 |