The superadiabatic projectors method applied to the spectral theory of magnetic operators
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Acceso en línea: | |
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| _version_ | 1866917901760462848 |
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| author | Benedetto, Lino Kammerer, Clotilde Fermanian Raymond, Nicolas Vacelet, Éric |
| author_facet | Benedetto, Lino Kammerer, Clotilde Fermanian Raymond, Nicolas Vacelet, Éric |
| contents | This article deals with a generalization of the superadiabatic projectors method. In a general framework, the well-known superadiabatic projectors are constructed and accurately described in the case of rank one, when a remarkable factorization occurs. We apply these ideas to spectral theory and we explain how our abstract results allow to recover or improve recent results about the semiclassical magnetic Laplacian. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14388 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The superadiabatic projectors method applied to the spectral theory of magnetic operators Benedetto, Lino Kammerer, Clotilde Fermanian Raymond, Nicolas Vacelet, Éric Spectral Theory Mathematical Physics This article deals with a generalization of the superadiabatic projectors method. In a general framework, the well-known superadiabatic projectors are constructed and accurately described in the case of rank one, when a remarkable factorization occurs. We apply these ideas to spectral theory and we explain how our abstract results allow to recover or improve recent results about the semiclassical magnetic Laplacian. |
| title | The superadiabatic projectors method applied to the spectral theory of magnetic operators |
| topic | Spectral Theory Mathematical Physics |
| url | https://arxiv.org/abs/2501.14388 |