Absence of real resonances of Dirac operators
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913998445740032 |
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| author | Dumant, Henry |
| author_facet | Dumant, Henry |
| contents | The purpose of this paper is to introduce the resonances of Dirac operators by continuing meromorphically the truncated resolvent and to establish a result about their localization : a kind of Rellich Theorem. Firstly, we consider the case of the Dirac operator in an external field which is essentially bounded and compactly supported. Secondly, we consider the case of the MIT bag model outside a smooth and bounded obstacle. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_14261 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Absence of real resonances of Dirac operators Dumant, Henry Spectral Theory Analysis of PDEs The purpose of this paper is to introduce the resonances of Dirac operators by continuing meromorphically the truncated resolvent and to establish a result about their localization : a kind of Rellich Theorem. Firstly, we consider the case of the Dirac operator in an external field which is essentially bounded and compactly supported. Secondly, we consider the case of the MIT bag model outside a smooth and bounded obstacle. |
| title | Absence of real resonances of Dirac operators |
| topic | Spectral Theory Analysis of PDEs |
| url | https://arxiv.org/abs/2505.14261 |