Work

Magnetic Dirac operator in strips submitted to strong magnetic fields

Year: 2024

Type: article

Abstract: We consider the magnetic Dirac operator on a curved strip whose boundary carries the infinite mass boundary condition. When the magnetic field is large, we provide the reader with accurate estimates of the essential and discrete spectra. In particular, we give sufficient conditions ensuring that the discrete spectrum is non-empty.

Source: Journal of Spectral Theory

DOI: 10.4171/jst/539

Authors: Loïc Le Treust, Nicolas Raymond, Julien Royer

Institutions: Centre National de la Recherche Scientifique, Aix-Marseille Université, Institut de Mathématiques de Marseille, Université d'Angers, Université Toulouse III - Paul Sabatier

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Centre Henri Lebesgue, Agence Nationale de la Recherche, Centre National de la Recherche Scientifique, Centre International de Mathématiques et Informatique de Toulouse

Awards: G1190173965, G1769130723, Centre de Mathématiques Henri Lebesgue : fondements, interactions, applications et Formation, G4414853111, Centre International de Mathématiques et d'Informatique (de Toulouse)