A Note on the Spectrum of Magnetic Dirac Operators

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2023
• ISSN: 1815-0659
• Hauptverfasser: Charalambous, Nelia, Grosse, Nadine
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2023
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212029
• 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

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...