The noncommutative quantum Hall effect with anomalous magnetic moment in three different relativistic scenarios

RRS Oliveira, G Alencar, RR Landim - General Relativity and Gravitation, 2023 - Springer
In the present paper, we investigate the bound-state solutions of the noncommutative
quantum Hall effect with anomalous magnetic moment in three different relativistic …

Non-commutativity and non-inertial effects on a scalar field in a cosmic string space-time: I. Klein–Gordon oscillator

RR Cuzinatto, M de Montigny… - Classical and Quantum …, 2022 - iopscience.iop.org
Abstract We analyse the Klein–Gordon oscillator in a cosmic string space-time and study the
effects stemming from the rotating frame and non-commutativity in momentum space. We …

Relativistic Anandan quantum phase in the Lorentz violation background

K Bakke, H Belich, EO Silva - Annalen der Physik, 2011 - Wiley Online Library
We study the influence of a classical background based on the violation of the Lorentz
symmetry on the relativistic Anandan quantum phase. We show that the choice of the …

Non-relativistic effects on the interaction of a point charge with a uniform magnetic field in the distortion of a vertical line into a vertical spiral spacetime

WCF Da Silva, K Bakke - Classical and Quantum Gravity, 2019 - iopscience.iop.org
We consider a spacetime with a distortion of a vertical line into a vertical spiral, thus, we
analyse non-relativistic effects on the interaction of a point charge with a uniform magnetic …

On a Point Charge in a Uniform Radial Electric Field Around a Cylindrical Cavity

K Bakke - Few-Body Systems, 2023 - Springer
We discuss the interaction of a point charge with a uniform radial electric field inside a long
nonconducting cylinder with a cylindrical cavity in the presence of the Aharonov–Bohm flux …

Relativistic Landau quantization for a neutral particle

K Bakke, C Furtado - Physical Review A—Atomic, Molecular, and Optical …, 2009 - APS
In this contribution we study the Landau levels arising within the relativistic quantum
dynamics of a neutral particle with a permanent magnetic dipole moment interacting with an …

Aharonov-Bohm effect for bound states from the interaction of the magnetic quadrupole moment of a neutral particle with axial fields

SLR Vieira, K Bakke - Physical Review A, 2020 - APS
The behavior of a neutral particle with magnetic quadrupole moment that interacts with axial
magnetic and electric fields is analyzed. From the interaction of the magnetic quadrupole …

Aharonov–Anandan quantum phases and Landau quantization associated with a magnetic quadrupole moment

IC Fonseca, K Bakke - Annals of Physics, 2015 - Elsevier
The arising of geometric quantum phases in the wave function of a moving particle
possessing a magnetic quadrupole moment is investigated. It is shown that an Aharonov …

On the interaction of an electron with a nonuniform electric field under the influence of a cut-off point induced by the spiral dislocation topology

A Maia, K Bakke - Physica B: Condensed Matter, 2021 - Elsevier
We analyse the interaction of an electron with a nonuniform electric field under the influence
of a cut-off point induced by the topology of a spiral dislocation. We show that the presence …

[HTML][HTML] On the Landau system in noncommutative phase-space

S Gangopadhyay, A Saha, A Halder - Physics Letters A, 2015 - Elsevier
We consider the Landau system in a canonically noncommutative phase-space. A set of
generalized transformations containing scaling parameters is derived which maps the NC …