5 citations · 10 across the 11 of their papers we have counts for
15 papers
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…
Eigenvalue Asymptotics near a flat band in presence of a slowly decaying potential
Pablo Miranda, Daniel Parra
We provide eigenvalue asymptotics for a Dirac-type operator on , , perturbed by multiplication operators that decay as with . We show that the…
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-…
Continuum limit for a discrete Hodge-Dirac operator on square lattices
Pablo Miranda, Daniel Parra
We study the continuum limit for Dirac-Hodge operators defined on the dimensional square lattice as goes to . This result extends to a first order discre…
Spectral Asymptotics at Thresholds for a Dirac-type Operator on
Pablo Miranda, Daniel Parra, Georgi Raikov
In this article, we provide the spectral analysis of a Dirac-type operator on by describing the behavior of the spectral shift function associated with a sign-defini…
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…