19 citations · 86 across the 15 of their papers we have counts for
6 papers · 1 filter
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,…
Some generic fractal properties of bounded self-adjoint operators
Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira
We study generic fractal properties of bounded self-adjoint operators through lower and upper generalized fractal dimensions of their spectral measures. Two groups of results are p…
Hydrogen atom bound states whose spectral measures have positive upper fractal dimensions
Moacir Aloisio, Silas L. Carvalho, César R. de Oliveira
It is shown that, Baire generically, the bound states of the Hamiltonian of the Hydrogen atom have spectral measures with exact -lower and -upper generalized fractal dimens…
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…