Discrete spectrum from local perturbations of leaky curves
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914280633270272 |
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| author | Exner, Pavel |
| author_facet | Exner, Pavel |
| contents | We discuss spectrum of a class of singular Schrödinger operator models known as leaky curves and show that if the interaction support has a periodic shape, its local perturbations can give rise to a discrete spectrum below the continuum threshold even if they are of `zero mean'. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18325 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Discrete spectrum from local perturbations of leaky curves Exner, Pavel Spectral Theory 81Q37, 35J10 We discuss spectrum of a class of singular Schrödinger operator models known as leaky curves and show that if the interaction support has a periodic shape, its local perturbations can give rise to a discrete spectrum below the continuum threshold even if they are of `zero mean'. |
| title | Discrete spectrum from local perturbations of leaky curves |
| topic | Spectral Theory 81Q37, 35J10 |
| url | https://arxiv.org/abs/2601.18325 |