2 papers
math-ph2026
The Landau-Dirac operator with shell interactions: self-adjointness and clustering
Badreddine Benhellal, Vincent Bruneau, Pablo Miranda
We consider the two-dimensional Dirac operator with constant magnetic field that is perturbed by a combination of electrostatic and Lorentz-scalar delta interactions with variable…
math.SP2025
Spectrum of the perturbed Landau-Dirac operator
Vincent Bruneau, Pablo Miranda
In this article, we consider the Dirac operator with constant magnetic field in . Its spectrum consists of eigenvalues of infinite multiplicities, known as the Landau-…