A Note on the Spectrum of Magnetic Dirac Operators
In this article, we study the spectrum of the magnetic Dirac operator and the magnetic Dirac operator with potential over complete Riemannian manifolds. We find sufficient conditions on the potentials as well as the manifold so that the spectrum is either maximal or discrete. We also show that magne...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2023 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Інститут математики НАН України
2023
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/212029 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A Note on the Spectrum of Magnetic Dirac Operators. Nelia Charalambous and Nadine Grosse. SIGMA 19 (2023), 102, 12 pages |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862596234810753024 |
|---|---|
| author | Charalambous, Nelia Grosse, Nadine |
| author_facet | Charalambous, Nelia Grosse, Nadine |
| citation_txt | A Note on the Spectrum of Magnetic Dirac Operators. Nelia Charalambous and Nadine Grosse. SIGMA 19 (2023), 102, 12 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | In this article, we study the spectrum of the magnetic Dirac operator and the magnetic Dirac operator with potential over complete Riemannian manifolds. We find sufficient conditions on the potentials as well as the manifold so that the spectrum is either maximal or discrete. We also show that magnetic Dirac operators can have a dense set of eigenvalues.
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| first_indexed | 2026-03-13T23:28:53Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212029 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-13T23:28:53Z |
| publishDate | 2023 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Charalambous, Nelia Grosse, Nadine 2026-01-23T10:08:24Z 2023 A Note on the Spectrum of Magnetic Dirac Operators. Nelia Charalambous and Nadine Grosse. SIGMA 19 (2023), 102, 12 pages 1815-0659 2020 Mathematics Subject Classification: 58J50; 35P05; 53C27 arXiv:2306.00590 https://nasplib.isofts.kiev.ua/handle/123456789/212029 https://doi.org/10.3842/SIGMA.2023.102 In this article, we study the spectrum of the magnetic Dirac operator and the magnetic Dirac operator with potential over complete Riemannian manifolds. We find sufficient conditions on the potentials as well as the manifold so that the spectrum is either maximal or discrete. We also show that magnetic Dirac operators can have a dense set of eigenvalues. The authors thank Gilles Carron for asking whether, for magnetic Dirac operators, the spectrum can consist of a pure point spectrum that is dense in R, which led to this article. They would also like to thank the anonymous referees whose comments helped to improve the quality of this paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Note on the Spectrum of Magnetic Dirac Operators Article published earlier |
| spellingShingle | A Note on the Spectrum of Magnetic Dirac Operators Charalambous, Nelia Grosse, Nadine |
| title | A Note on the Spectrum of Magnetic Dirac Operators |
| title_full | A Note on the Spectrum of Magnetic Dirac Operators |
| title_fullStr | A Note on the Spectrum of Magnetic Dirac Operators |
| title_full_unstemmed | A Note on the Spectrum of Magnetic Dirac Operators |
| title_short | A Note on the Spectrum of Magnetic Dirac Operators |
| title_sort | note on the spectrum of magnetic dirac operators |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212029 |
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