A Note on the Spectrum of Magnetic Dirac Operators

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 mag...

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Veröffentlicht in:Symmetry, integrability and geometry, methods and applications integrability and geometry, methods and applications, 2023-01, Vol.19
Hauptverfasser: Charalambous, Nelia, Große, Nadine
Format: Artikel
Sprache:eng
Schlagworte:
Eigenvalues
Euclidean space
Magnetic fields
Mathematical functions
Operators
Riemann manifold
Topological manifolds
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Zusammenfassung: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.
ISSN:1815-0659
1815-0659
DOI:10.3842/SIGMA.2023.102