5 citations · 10 across the 11 of their papers we have counts for
9 papers · 1 filter
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-…
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…
Eigenvalue and Resonance Asymptotics in perturbed periodically twisted tubes: Twisting versus Bending
Vincent Bruneau, Pablo Miranda, Daniel Parra +1
We consider the Dirichlet Laplacian in a three-dimensional waveguide that is a small deformation of a periodically twisted tube. The deformation is given by a bending and an additi…
Band functions of Iwatsuka models : power-like and flat magnetic fields
Nicolas Popoff, Pablo Miranda
In this note we consider the Iwatsuka model with a postive increasing magnetic field having finite limits. The associated magnetic Laplacian is fibred through partial Fourier trans…
Spectrum of the Iwatsuka Hamiltonian at thresholds
Pablo Miranda, Nicolas Popoff
We consider the bi-dimensional Schrödinger operator with unidirectionally constant magnetic field, , sometimes known as the "Iwatsuka Hamiltonian". This operator is analytical…