Stability of the gapless pure point spectrum of self-adjoint operators
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2022
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866914702816182272 |
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| author | Facchi, Paolo Ligabò, Marilena |
| author_facet | Facchi, Paolo Ligabò, Marilena |
| contents | We consider a self-adjoint operator $T$ on a separable Hilbert space, with pure-point and simple spectrum with accumulations at finite points. Explicit conditions are stated on the eigenvalues of $T$ and on the bounded perturbation $V$ ensuring the global stability of the spectral nature of $T+V$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_05670 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Stability of the gapless pure point spectrum of self-adjoint operators Facchi, Paolo Ligabò, Marilena Mathematical Physics Quantum Physics We consider a self-adjoint operator $T$ on a separable Hilbert space, with pure-point and simple spectrum with accumulations at finite points. Explicit conditions are stated on the eigenvalues of $T$ and on the bounded perturbation $V$ ensuring the global stability of the spectral nature of $T+V$. |
| title | Stability of the gapless pure point spectrum of self-adjoint operators |
| topic | Mathematical Physics Quantum Physics |
| url | https://arxiv.org/abs/2211.05670 |