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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-ph2025
Clusters of resonances for a non-selfadjoint multichannel discrete Schrödinger operator
Marouane Assal, Olivier Bourget, Pablo Miranda +1
We study the distribution of resonances for discrete Hamiltonians of the form near the thresholds of the spectrum of . Here, the unperturbed operator is a multic…