Spectral enclosure estimates for non-self-adjoint Dirac operators
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909918457495552 |
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| author | Oregero, Jeffrey |
| author_facet | Oregero, Jeffrey |
| contents | We study the spectrum of a periodic non-self-adjoint Dirac operator, and its dependence on a semiclassical parameter is also considered. Several bounds on the spectrum are obtained which provide sharp spectral enclosure estimates. Importantly, a sufficient condition is obtained which ensures semiclassical spectral confinement to the real axis and a bounded subset of the imaginary axis of the spectral plane. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02236 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral enclosure estimates for non-self-adjoint Dirac operators Oregero, Jeffrey Spectral Theory Mathematical Physics Exactly Solvable and Integrable Systems 34L40, 47A10, 35Q51 We study the spectrum of a periodic non-self-adjoint Dirac operator, and its dependence on a semiclassical parameter is also considered. Several bounds on the spectrum are obtained which provide sharp spectral enclosure estimates. Importantly, a sufficient condition is obtained which ensures semiclassical spectral confinement to the real axis and a bounded subset of the imaginary axis of the spectral plane. |
| title | Spectral enclosure estimates for non-self-adjoint Dirac operators |
| topic | Spectral Theory Mathematical Physics Exactly Solvable and Integrable Systems 34L40, 47A10, 35Q51 |
| url | https://arxiv.org/abs/2504.02236 |