67 citations · 882 across the 41 of their papers we have counts for
42 papers
Universal critical factor for spin-1/2 Aharonov-Bohm bound states
Vinícius Salem, Edilberto O. Silva, Fabiano M. Andrade
Whether the spin-1/2 Aharonov-Bohm Hamiltonian supports bound states has remained controversial since Hagen concluded that no such states exist for a Dirac particle. Here, we show…
Fermions in -dimensions modified by nonminimal coupling and its applications to condensed matter physics
J. A. A. S. Reis, L. Lisboa-Santos, Fabiano M. Andrade +2
Fermions in two-dimensional space, commonly called -dimensional fermions, exhibit intriguing and distinctive characteristics that distinguish them from their higher-dimensio…
Scattering entropies of quantum graphs with several channels
Alison A. Silva, Fabiano M. Andrade, D. Bazeia
This work deals with the scattering entropy of quantum graphs in many different circumstances. We first consider the case of the Shannon entropy and then the Rényi and Tsallis entr…
Unitary evolution for a two-level quantum system in fractional-time scenario
D. Cius, L. Menon, M. A. F. dos Santos +2
The time-evolution operator obtained from the fractional-time Schrödinger equation (FTSE) is said to be non-unitary since it does not preserve the norm of the vector state in time.…
Entanglement between uncoupled modes with time-dependent complex frequencies
D. Cius, G. M. Uhdre, A. S. M. de Castro +1
In this work we present the general unified description for the unitary time-evolution generated by time-dependent non-Hermitian Hamiltonians embedding the bosonic representations…
Effects of rotation and Coulomb type potential on the spin-1/2 Aharonov-Bohm problem
Márcio M. Cunha, Fabiano M. Andrade, Edilberto O. Silva
In this work, we investigate how both rotation and a Coulomb potential affect the quantum mechanical description of a spin- particle in the presence of the Aharonov-Bohm effec…
Average scattering entropy for periodic, aperiodic and random distribution of vertices in simple quantum graphs
Alison A. Silva, Fabiano M. Andrade, D. Bazeia
This work deals with the average scattering entropy of quantum graphs. We explore this concept in several distinct scenarios that involve periodic, aperiodic and random distributio…
Effects of quantum deformation on the Jaynes-Cummings and anti-Jaynes-Cummings models
Gustavo M. Uhdre, Danilo Cius, Fabiano M. Andrade
The theory of non-Hermitian systems and the theory of quantum deformations have attracted a great deal of attention in the past decades. In general, non-Hermitian Hamiltonians are…
Average scattering entropy of quantum graphs
Alison A. Silva, Fabiano M. Andrade, Dionisio Bazeia
The scattering amplitude in simple quantum graphs is a well-known process which may be highly complex. In this work, motivated by the Shannon entropy, we propose a methodology that…
Study of electronic properties, Magnetization and persistent currents in a mesoscopic ring by controlled curvature
Luís Fernando C. Pereira, Fabiano M. Andrade, Cleverson Filgueiras +1
We study the model of a noninteracting spinless electron gas confined to the two-dimensional localized surface of a cone in the presence of external magnetic fields. The localized…
Effects of curvature on the electronic states of a two-dimensional mesoscopic ring
Luís Fernando C. Pereira, Fabiano M. Andrade, Cleverson Filgueiras +1
The effects of surface curvature on the motion of electrons in a mesoscopic two-dimensional ring on a cone in the presence of external magnetic fields are examined. The approach fo…
Self-adjoint extension approach for singular Hamiltonians in (2+1) dimensions
Vinicius Salem, Ramon F. Costa, Edilberto O. Silva +1
In this work, we review two methods used to approach singular Hamiltonians in (2+1) dimensions. Both methods are based on the self-adjoint extension approach. It is very common to…
Narrow peaks of full transmission in simple quantum graphs
A. Drinko, F. M. Andrade, D. Bazeia
This work deals with quantum graphs, focusing on the transmission properties they engender. We first select two simple diamond graphs, and two hexagonal graphs in which the vertice…
Modifications of electron states, magnetization and persistent current in a quantum dot by controlled curvature
Luis Fernando C. Pereira, Fabiano M. Andrade, Cleverson Filgueiras +1
In this work, we use the thin-layer quantization procedure to study the physical implications due to curvature effects on a quantum dot in the presence of an external magnetic fiel…
Simple quantum graphs proposal for quantum devices
A. Drinko, F. M. Andrade, D. Bazeia
The control of the quantum transport is an issue of current interest for the construction of new devices. In this work, we investigate this possibility in the realm of quantum grap…
Basin entropy behavior in a cyclic model of the rock-paper-scissors type
M. Mugnaine, F. M. Andrade, J. D. Szezech +1
We deal with stochastic network simulations in a model with three distinct species that compete under cyclic rules which are similar to the rules of the popular rock-paper-scissors…
On the 2D Dirac oscillator in the presence of vector and scalar potentials in the cosmic string spacetime in the context of spin and pseudospin symmetries
Daniel F. Lima, Fabiano M. Andrade, Luis B. Castro +2
The Dirac equation with both scalar and vector couplings describing the dynamics of a two-dimensional Dirac oscillator in the cosmic string spacetime is considered. We derive the D…
Unitary equivalence between the Green's function and Schrödinger approaches for quantum graphs
Fabiano M. Andrade, Simone Severini
In a previous work [Andrade \textit{et al.}, Phys. Rep. \textbf{647}, 1 (2016)], it was shown that the exact Green's function (GF) for an arbitrarily large (although finite) quantu…
The DKP oscillator with a linear interaction in the cosmic string space-time
Mansoureh Hosseinpour, Hassan Hassanabadi, Fabiano M. Andrade
We study the relativistic quantum dynamics of a DKP oscillator field subject to a linear interaction in cosmic string space-time in order to better understand the effects of gravit…
Scattering and bound states of Dirac Equation in presence of cosmic string for Hulthén potential
Mansoureh Hosseinpour, Fabiano M. Andrade, Edilberto O. Silva +1
In this work we study the Dirac equation with vector and scalar potentials in the spacetime generated by a cosmic string. Using an approximation for the centrifugal term, a solutio…
Quantum motion of a spinless particle in curved space: A viewpoint of scattering theory
Fabiano M. Andrade, Augusto R. Chumbes, Cleverson Filgueiras +1
In this work, we study the scattering of a spinless charged particle constrained to move on a curved surface in the presence of the Aharonov-Bohm potential. We begin with the equat…
Scattering and bound states of a spin--1/2 neutral particle in the cosmic string spacetime
Fabiano M. Andrade, Cleverson Filgueiras, Edilberto O. Silva
In this paper the relativistic quantum dynamics of a spin-1/2 neutral particle with a magnetic moment in the cosmic string spacetime is reexamined by applying the von Neumann t…
Effects of quantum deformation on the integer quantum Hall effect
Fabiano M. Andrade, Edilberto O. Silva, Denise Assafrão +1
In this work an application of the --deformed algebra in condensed matter physics is presented. Starting by the --deformed Dirac equation we study the relativistic generaliza…
Green's function approach for quantum graphs: an overview
Fabiano M. Andrade, A. G. M. Schmidt, E. Vicentini +2
Here we review the many aspects and distinct phenomena associated to quantum dynamics on general graph structures. For so, we discuss such class of systems under the energy domain…