Geometric theory of defects

MO Katanaev - Physics-Uspekhi, 2005 - iopscience.iop.org
A description of dislocation and disclination defects in terms of the Riemann–Cartan
geometry is given, with the curvature and torsion tensors interpreted as the surface densities …

Relativistic quantum effects of confining potentials on the Klein-Gordon oscillator

RLL Vitória, K Bakke - The European Physical Journal Plus, 2016 - Springer
The behaviour of the Klein-Gordon oscillator under the influence of linear and Coulomb-type
potentials is investigated. The introduction of the scalar potentials is made by modifying the …

On a relativistic particle and a relativistic position-dependent mass particle subject to the Klein–Gordon oscillator and the Coulomb potential

RLL Vitória, C Furtado, K Bakke - Annals of Physics, 2016 - Elsevier
The relativistic quantum dynamics of an electrically charged particle subject to the Klein–
Gordon oscillator and the Coulomb potential is investigated. By searching for relativistic …

Topological effects of a global monopole on a spherical quantum dot

K Bakke - Proceedings of the Royal Society A, 2023 - royalsocietypublishing.org
We consider a spherical quantum dot described by an attractive short-range potential and
search for topological effects of a global monopole on it. The attractive short-range potential …

Topological effects of a spiral dislocation on quantum revivals

AVDM Maia, K Bakke - Universe, 2022 - mdpi.com
We analyse the influence of spiral dislocation topology on the revival time for the harmonic
oscillator, for a particle confined to one-dimensional quantum ring, and a two-dimensional …

On the interaction of a Cornell-type nonminimal coupling with the scalar field under the background of topological defects

S Zare, H Hassanabadi, A Guvendi… - International Journal of …, 2022 - World Scientific
In this paper, we investigate the influence of the background of a cosmic string space–time
with a distortion of a radial line into a spiral on the interaction of the scalar field with a …

[HTML][HTML] Remarks on the Quantum Effects of Screw Dislocation Topology and Missing Magnetic Flux

K Bakke - Condensed Matter, 2024 - mdpi.com
We revisit the interaction between a point charge and an inhomogeneous magnetic field that
yields the magnetic quantum dot system. This magnetic field is defined by filling the whole …

A Landau-type quantization from a Lorentz symmetry violation background with crossed electric and magnetic fields

K Bakke, H Belich - Journal of Physics G: Nuclear and Particle …, 2015 - iopscience.iop.org
We investigate the arising of an analogue of the Landau quantization from a background of
the violation of the Lorentz symmetry established by a time-like four-vector and a field …

On the effects of rotation and spiral dislocation topology on the persistent currents and quantum revivals in a cylindrical wire

WCF da Silva, K Bakke - The European Physical Journal Plus, 2021 - Springer
We study the effects of the spiral dislocation topology on the confinement of a point charge
(electron or hole) to a cylindrical wire in a rotating reference frame. In addition, we consider …

Remarks on a quantum dot described by scalar exponential potentials

K Bakke - Physica B: Condensed Matter, 2024 - Elsevier
Based on the power-exponential potential model for quantum dots, we study the
confinement of a particle to a spherical quantum dot from a long-range potential. We show …