9 citations · 13 across the 4 of their papers we have counts for
6 papers
Spectral Hausdorff dimensions for a class of Schrödinger operators in bounded intervals
Vanderléa R. Bazao, Túlio O. Carvalho, César R. de Oliveira
Exact Hausdorff dimensions are computed for singular continuous components of the spectral measures of a class of Schrödinger operators in bounded intervals.
Dirac cones for bi- and trilayer Bernal-stacked graphene in a quantum graph model
Cesar R. de Oliveira, Vinicius L. Rocha
A quantum graph model for a single sheet of graphene is extended to bilayer and trilayer Bernal-stacked graphene; the spectra are characterized and the dispersion relations explici…
All self-adjoint extensions of the magnetic Laplacian in nonsmooth domains and gauge transformations
Cesar R. de Oliveira, Wagner Monteiro
We use boundary triples to find a parametrization of all self-adjoint extensions of the magnetic Schrödinger operator, in a quasi-convex domain~ with compact boundary, and magne…
Lower bounds for fractal dimensions of spectral measures of the period doubling Schrödinger operator
Vanderlea R. Bazao, Tulio O. Carvalho, Cesar R. de Oliveira
It is shown that there exits a lower bound to the Hausdorff dimension of the spectral measures of the one-dimensional period doubling substitution Schrödinger operator, and,…
A new version of the Aharonov-Bohm effect
Cesar R. de Oliveira, Renan G. Romano
We propose a simple situation in which the magnetic Aharonov-Bohm potential influences the values of the deficiency indices of the initial Schrödinger operator, so determining whet…
On the spectral Hausdorff dimension of 1D discrete Schrödinger operators under power decaying perturbations
Vanderlea R. Bazao, Silas L. Carvalho, César R. de Oliveira
We show that spectral Hausdorff dimensional properties of discrete Schröodinger operators with (1) Sturmian potentials of bounded density and (2) a class of sparse potentials are p…